{"id":74,"date":"2018-12-07T06:12:20","date_gmt":"2018-12-07T06:12:20","guid":{"rendered":"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=74"},"modified":"2018-12-07T06:36:14","modified_gmt":"2018-12-07T06:36:14","slug":"metal-oxide-semiconductor-field-effect-transistor-mosfet","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/chapter\/metal-oxide-semiconductor-field-effect-transistor-mosfet\/","title":{"rendered":"Metal Oxide Semiconductor Field Effect Transistor (MOSFET)"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/lYB4LlTUP5I\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n<ol>\r\n \t<li><strong>Introduction<\/strong><\/li>\r\n<\/ol>\r\n&nbsp;\r\n<p style=\"text-align: justify\">MOSFET (Metal Oxide Semiconductor Field Effect Transistor is a unipolar transistor acting as a voltage controlled device where current between the two electrodes \u2018Drain\u2019 and \u2018Source\u2019 is controlled by the applied electric field at another electrode (Gate). Here metal Gate is isolated from the semiconductor by a very thin oxide layer. The characters of metal oxide silicon field effect transistors, or MOSFETs are quite similar to those of JFETs, although there is a difference in their mechanism of production. A replacement of gate-channel p-n junction of JFET is done by a metal oxide silicon capacitors that influences the number of carriers in the channel. The carrier density in the channel is modulated by the applied gate voltage, whereas the width of the channel is hardly affected. Comparison of MOSFTE and JFET is given below:<\/p>\r\n&nbsp;\r\n<table style=\"border-collapse: collapse;width: 100%\" border=\"1\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 50%\"><strong>MOSFET<\/strong><\/td>\r\n<td style=\"width: 50%\"><strong>JFET<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%\">It can be operated in both depletion mode and\r\nenhancement mode<\/td>\r\n<td style=\"width: 50%\">It can be operated only in depletion mode<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%\">Have high input impedance, thus small input current<\/td>\r\n<td style=\"width: 50%\">Relatively low input impedance<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%\">MOSFETs have higher speed of operation i.e. they\r\nrespond instantaneously with a small change in gate\r\nvoltage<\/td>\r\n<td style=\"width: 50%\">JFETs are relatively slower<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<strong>2.\u00a0 Type of MOSFETs<\/strong>\r\n\r\n<img class=\"size-full wp-image-75 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31.png\" alt=\"\" width=\"429\" height=\"296\" \/>\r\n<ol start=\"3\">\r\n \t<li style=\"text-align: justify\"><strong>Enhancement mode (E-MOSFET)<\/strong><\/li>\r\n<\/ol>\r\n<p style=\"text-align: justify\"><strong>3.1 Schematic of n-channel E-MOSFET<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Figure 1 shows a schematic of a n-channel E-MOSFET. It has \u201cMetal\u201d Gate electrode which is electrically insulated from semiconductor (n-type or p-type) by very thin layer of oxide material usually silicon dioxide. A thin layer of silicon dioxide covers the surface of silicon, which performs three functions: it acts as a protective layer for the silicon surface which ensures stable electrical behavior; it acts as an insulator for the deposition of conductors on its surface, without making electrical contact to the semiconductor; it acts as a dielectric for the capacitor formed by the gate electrode and the substrate. Gate terminal is isolated from current carrying channel, so no current flows into gate.<\/p>\r\n<img class=\"size-full wp-image-76 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32.png\" alt=\"\" width=\"482\" height=\"325\" \/>\r\n<p style=\"text-align: justify\">It consists of a p- Si substrate into which 2 heavily doped n+ region have been diffused namely Source<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">(S) and Drain (D). Metal contact is deposited on oxide layer that covers gap between two n+ diffusion and serves as Gate (G). Here, L is channel length [distance between two n+ region], Z is channel width, d is thickness of oxide layer, NA is acceptor doping concentration in p-type Si, Central section of device corresponds to MOS diode and Source is used as voltage reference.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong>3.2 Detailed operation of n-channel E-MOSFET<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong>Case I: V<\/strong><strong>G<\/strong><strong> = 0<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Source-to-drain electrodes corresponds to two n+- p junctions connected back to back. Device is off, when VG = 0 as there is no channel between Source and Drain.<\/p>\r\n&nbsp;\r\n\r\n<strong>Case II:V<\/strong><strong>G<\/strong><strong> &gt; V<\/strong><strong>T<\/strong><strong> (Inversion condition for MOS)<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">Large positive gate voltage [VG &gt; VT] has to be applied to induce a channel below oxide i.e. a surface inversion layer (accumulated electrons) is created. The electron concentration in channel enhances by increasing VG and hence channel conductance can be modulated by VG.<\/p>\r\n<img class=\"size-full wp-image-77 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33.png\" alt=\"\" width=\"374\" height=\"296\" \/>\r\n\r\n<strong>FOR V<\/strong><strong>G<\/strong><strong> &gt; V<\/strong><strong>T<\/strong>\r\n\r\n&nbsp;\r\n\r\n<strong>Case A: For small value of +V<\/strong><strong>D<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">Electron will flow from S to D through conducting channel. Channel acts as a resistance and ID VD (linear region). As long as VD is small, the surface potential will remain almost same throughout channel (i.e. near source and drain regions). The electron concentration will remain same and channel behaves as resistor having<\/p>\r\n<img class=\"size-full wp-image-79 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-35.png\" alt=\"\" width=\"340\" height=\"74\" \/>\r\n<p style=\"text-align: justify\">Where, Qn &lt; 0, is the space charge per unit area of inversion layer (or channel) and Z is the channel width.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong><em>Case B<\/em><\/strong><strong>: For moderate value of +V<\/strong><strong>D<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">With increase in <em>V<\/em><em>D<\/em>, potential will distribute throughout the channel. Potential difference between G and inversion layer will be more near S and very less near D. Thus, electron concentration (Qn) in channel will be relatively less near D, and hence channel resistance increases. I-V curve will bend downward from initial linear variation.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong><em>Case C: For large V<\/em><\/strong><strong><em>D<\/em><\/strong><strong><em> If V<\/em><\/strong><strong><em>D<\/em><\/strong><strong><em> further increases (V<\/em><\/strong><strong><em>Dsat<\/em><\/strong>), the potential drop across oxide near drain will continue to decrease, and may until it falls below the value required to maintain an inversion layer, i.e. width of inversion layer xi at y = L reduced to zero [known as Pinch off point]. At this condition, Drain gets isolated from conducting channel (inversion layer) by a depletion region. The ID will then saturate to a constant value Idsat at VD = VDsat.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong><em>Case D: As V<\/em><\/strong><strong><em>D<\/em><\/strong><strong><em> &gt; V<\/em><\/strong><strong><em>Dsat<\/em><\/strong>, ID remains as IDsat. The pinch off point P will move towards Source, and effective channel length (L ) will decrease. However, the potential at P will remain at VDsat, and additional voltage in excess of VDsat will drop across depletion region. Thus, number of carriers arriving at point P from Source and hence current flowing from D to S remains the constant.<\/p>\r\n<img class=\"size-full wp-image-80 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36.png\" alt=\"\" width=\"692\" height=\"310\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">If VG or VGS increases (For Fixed <em>V<\/em><em>D<\/em>), leads to increases in the inversion layer and thus charge Qn.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Therefore, channel resistance decreases or ID increases for a given VD. The pinch off will occur at a higher value of VD.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong>3.3 Study of I-V relationship for n-channel E-MOSFET <\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Consider ideal condition and following assumptions<\/p>\r\n\r\n<ul>\r\n \t<li style=\"text-align: justify\">Ideal MOS structure [no charge in oxide and no difference in work functions of Gate and Semiconductors, <em>ms<\/em> <em>= 0]<\/em><\/li>\r\n \t<li style=\"text-align: justify\">Current flow in one dimention (i.e. in channel only). No current flows from Channel to Gate.<\/li>\r\n \t<li style=\"text-align: justify\">Electron mobility in Inversion layer (channel) is constant and is independent of electric field.<\/li>\r\n \t<li style=\"text-align: justify\"><span style=\"font-size: 1em\">Doping in the semiconductor in the channel region is uniform.<\/span><\/li>\r\n \t<li style=\"text-align: justify\"><span style=\"font-size: 1em\">Reverse-leakage current is negligibly small.<\/span><\/li>\r\n \t<li style=\"text-align: justify\"><span style=\"font-size: 1em\">Transverse electric field (perpendicular to the current flow) at edge of the depletion region in channel is much larger than the longitudinal electric field (parallel to current flow).<\/span><\/li>\r\n<\/ul>\r\n<img class=\"size-full wp-image-81 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37.png\" alt=\"\" width=\"356\" height=\"275\" \/>\r\n<ol start=\"4\">\r\n \t<li style=\"text-align: justify\"><strong> Theoretical characteristics of a MOSFET<\/strong><\/li>\r\n<\/ol>\r\n&nbsp;\r\n<p style=\"text-align: justify\">The relationship between voltages applied to the MOSFET electrodes and the current that flows from source to the drain, is described in this section.\u00a0An ideal model of an n-channel MOSFET is shown in figure 5. Consider strong inversion condition [No drain current flow in a MOS so system in thermal equilibrium i.e. VD = 0], the surface potential.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong>Consider n-channel MOSFET<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Total charge induced in semiconductor at y<\/p>\r\n<img class=\"size-full wp-image-82 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38.png\" alt=\"\" width=\"551\" height=\"59\" \/>\r\n<p style=\"text-align: justify\">where Qn is the charge per unit area in inversion region and Qsc is the charge per unit area in depletion region.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Applied VG is partly divided in oxide layer and semiconductor\u00a0 as<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-83 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39.png\" alt=\"\" width=\"380\" height=\"120\" \/>\r\n<p style=\"text-align: justify\">where, Vo is voltage drop across oxide layer.In case of non ideal MOS capacitor, with flat-band voltage VFB, equation (3) is modified as<\/p>\r\n<img class=\"size-full wp-image-84 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40.png\" alt=\"\" width=\"732\" height=\"497\" \/>\r\n\r\nAt onset of inversion,\r\n\r\n<img class=\"size-full wp-image-85 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-41.png\" alt=\"\" width=\"183\" height=\"40\" \/>\r\n<p style=\"text-align: justify\">Under practical operating condition, space charge region in MOS transistor is not in equilibrium i.e. when VD &gt; 0, the surface potential will increase with y [due to potential distribution in semiconductor]. If V(y) is channel potential at any point y for a drain voltage VD, then to a good approximation the surface potential for strong inversion is<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-86 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42.png\" alt=\"\" width=\"427\" height=\"47\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">Also using depletion approximation, the charge per unit area at strong inversion (as calculated while discussing MOS diode) is<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-87 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43.png\" alt=\"\" width=\"704\" height=\"547\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">For ideal MOSFET remove the contribution from VFB in equation (10) <strong>Now, discussing above equation (10) in different conditions (A) LINEAR REGION<em>:<\/em><\/strong>For small VD such that VD &lt;&lt; VG - VT\u00a0 or<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-88 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-44.png\" alt=\"\" width=\"291\" height=\"73\" \/>\r\n\r\n<img class=\"size-full wp-image-89 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45.png\" alt=\"\" width=\"726\" height=\"431\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">By plotting ID versus VG (for small VD), VT can be obtained from linear extrapolation to VG axis.For n-channel MOSFET, VFB is small negative and other two terms of equation (13) are positive, =&gt; VT &gt; 0 (turn- on voltage).<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">From equation (12) =&gt; ID VD for small VD. In linear region from equation (12) we have<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-90 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46.png\" alt=\"\" width=\"726\" height=\"431\" \/>\r\n\r\n&nbsp;\r\n\r\n<strong>(B) SATURATION REGION:<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">When VD &gt;Vsat, then at Drain end the net voltage across MOS is less than or equal to VT i.e. number of mobile electrons in channel at the Drain are reduced drastically(Pinch off point).<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">At Source side: V(y) =0 ,Qn(y) = Qn at y = 0<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">At Drain side: V(y) = VDsat , Qn(y) = 0 at y = L<\/p>\r\n&nbsp;\r\n\r\nPutting source side condition in equation (7) i.e. for Qn (y), we have\r\n\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-91 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47.png\" alt=\"\" width=\"723\" height=\"169\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">Find out VDsat from equation (16) and substitute VD = VDsat in equation (10), we can obtain expression for ID in saturation region i.e. IDsat.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">However, when NA is very low and oxide layer thickness is small (i.e. Co is large), then &lt;&lt; 1 (from 17). Here voltage drop in oxide is negligibly small compared to 2 B.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">Thus equation (16) becomes<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-92 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48.png\" alt=\"\" width=\"705\" height=\"447\" \/>\r\n\r\n<img class=\"size-full wp-image-93 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49.png\" alt=\"\" width=\"609\" height=\"81\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">Thus Channel conductance (gD) in linear region (eqn. 14) is same as Trans Conductance (gm) in saturation region (eqn. 20) for MOSFET.<\/p>\r\n\r\n<ol style=\"text-align: justify\" start=\"5\">\r\n \t<li><strong>Construction of n and p-channel Depletion mode MOSFET<\/strong><\/li>\r\n<\/ol>\r\n<p style=\"text-align: justify\"><strong>\u00a0<\/strong><\/p>\r\n<p style=\"text-align: justify\">Figure 6 shows the n-channel D-MOSFET. Drain (D) and Source (S) leads connect to the to n+-doped regions via an n-channel. n-channel is connected to the Gate (G) via a thin insulating layer of SiO2. The n-doped material lies on a p-doped substrate that may have an additional terminal connection called SS.<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-94 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50.png\" alt=\"\" width=\"613\" height=\"287\" \/>\r\n\r\n<img class=\"size-full wp-image-95 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51.png\" alt=\"\" width=\"675\" height=\"351\" \/>\r\n\r\n<img class=\"size-full wp-image-96 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52.png\" alt=\"\" width=\"675\" height=\"351\" \/>\r\n\r\n<img class=\"size-full wp-image-97 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53.png\" alt=\"\" width=\"695\" height=\"291\" \/>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\">The p-channel Depletion mode MOSFET is similar to the n-channel except that channel is p-type and the voltage polarities and current directions are reversed<\/p>\r\n&nbsp;\r\n\r\n<img class=\"size-full wp-image-99 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55.png\" alt=\"\" width=\"713\" height=\"548\" \/>\r\n\r\n<img class=\"size-full wp-image-100 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56.png\" alt=\"\" width=\"362\" height=\"216\" \/>\r\n\r\n<img class=\"size-full wp-image-101 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57.png\" alt=\"\" width=\"673\" height=\"229\" \/>\r\n\r\n<strong>7. Summary<\/strong>\r\n<ul>\r\n \t<li style=\"text-align: justify\">Schematic of enhancement mode MOSFET (E-MOSFET)<\/li>\r\n \t<li style=\"text-align: justify\">Detailed operation of n-channel MOSFET<\/li>\r\n \t<li style=\"text-align: justify\">Study of IV characteristics for E-MOSFET<\/li>\r\n \t<li style=\"text-align: justify\">Construction of n and p-channel Depletion mode MOSFET<\/li>\r\n \t<li style=\"text-align: justify\">Frequency limit for MOSFET<\/li>\r\n<\/ul>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Metal Oxide Semiconductor Field Effect Transistor (MOSFET) <\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/lYB4LlTUP5I\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/lYB4LlTUP5I\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li><strong>Introduction<\/strong><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">MOSFET (Metal Oxide Semiconductor Field Effect Transistor is a unipolar transistor acting as a voltage controlled device where current between the two electrodes \u2018Drain\u2019 and \u2018Source\u2019 is controlled by the applied electric field at another electrode (Gate). Here metal Gate is isolated from the semiconductor by a very thin oxide layer. The characters of metal oxide silicon field effect transistors, or MOSFETs are quite similar to those of JFETs, although there is a difference in their mechanism of production. A replacement of gate-channel p-n junction of JFET is done by a metal oxide silicon capacitors that influences the number of carriers in the channel. The carrier density in the channel is modulated by the applied gate voltage, whereas the width of the channel is hardly affected. Comparison of MOSFTE and JFET is given below:<\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<td style=\"width: 50%\"><strong>MOSFET<\/strong><\/td>\n<td style=\"width: 50%\"><strong>JFET<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%\">It can be operated in both depletion mode and<br \/>\nenhancement mode<\/td>\n<td style=\"width: 50%\">It can be operated only in depletion mode<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%\">Have high input impedance, thus small input current<\/td>\n<td style=\"width: 50%\">Relatively low input impedance<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%\">MOSFETs have higher speed of operation i.e. they<br \/>\nrespond instantaneously with a small change in gate<br \/>\nvoltage<\/td>\n<td style=\"width: 50%\">JFETs are relatively slower<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>2.\u00a0 Type of MOSFETs<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-75 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31.png\" alt=\"\" width=\"429\" height=\"296\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31.png 429w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31-300x207.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31-65x45.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31-225x155.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-31-350x241.png 350w\" sizes=\"auto, (max-width: 429px) 100vw, 429px\" \/><\/p>\n<ol start=\"3\">\n<li style=\"text-align: justify\"><strong>Enhancement mode (E-MOSFET)<\/strong><\/li>\n<\/ol>\n<p style=\"text-align: justify\"><strong>3.1 Schematic of n-channel E-MOSFET<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Figure 1 shows a schematic of a n-channel E-MOSFET. It has \u201cMetal\u201d Gate electrode which is electrically insulated from semiconductor (n-type or p-type) by very thin layer of oxide material usually silicon dioxide. A thin layer of silicon dioxide covers the surface of silicon, which performs three functions: it acts as a protective layer for the silicon surface which ensures stable electrical behavior; it acts as an insulator for the deposition of conductors on its surface, without making electrical contact to the semiconductor; it acts as a dielectric for the capacitor formed by the gate electrode and the substrate. Gate terminal is isolated from current carrying channel, so no current flows into gate.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-76 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32.png\" alt=\"\" width=\"482\" height=\"325\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32.png 482w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32-300x202.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32-65x44.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32-225x152.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-32-350x236.png 350w\" sizes=\"auto, (max-width: 482px) 100vw, 482px\" \/><\/p>\n<p style=\"text-align: justify\">It consists of a p- Si substrate into which 2 heavily doped n+ region have been diffused namely Source<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">(S) and Drain (D). Metal contact is deposited on oxide layer that covers gap between two n+ diffusion and serves as Gate (G). Here, L is channel length [distance between two n+ region], Z is channel width, d is thickness of oxide layer, NA is acceptor doping concentration in p-type Si, Central section of device corresponds to MOS diode and Source is used as voltage reference.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong>3.2 Detailed operation of n-channel E-MOSFET<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong>Case I: V<\/strong><strong>G<\/strong><strong> = 0<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Source-to-drain electrodes corresponds to two n+- p junctions connected back to back. Device is off, when VG = 0 as there is no channel between Source and Drain.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Case II:V<\/strong><strong>G<\/strong><strong> &gt; V<\/strong><strong>T<\/strong><strong> (Inversion condition for MOS)<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Large positive gate voltage [VG &gt; VT] has to be applied to induce a channel below oxide i.e. a surface inversion layer (accumulated electrons) is created. The electron concentration in channel enhances by increasing VG and hence channel conductance can be modulated by VG.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-77 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33.png\" alt=\"\" width=\"374\" height=\"296\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33.png 374w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33-300x237.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33-65x51.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33-225x178.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-33-350x277.png 350w\" sizes=\"auto, (max-width: 374px) 100vw, 374px\" \/><\/p>\n<p><strong>FOR V<\/strong><strong>G<\/strong><strong> &gt; V<\/strong><strong>T<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Case A: For small value of +V<\/strong><strong>D<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Electron will flow from S to D through conducting channel. Channel acts as a resistance and ID VD (linear region). As long as VD is small, the surface potential will remain almost same throughout channel (i.e. near source and drain regions). The electron concentration will remain same and channel behaves as resistor having<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-79 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-35.png\" alt=\"\" width=\"340\" height=\"74\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-35.png 340w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-35-300x65.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-35-65x14.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-35-225x49.png 225w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/p>\n<p style=\"text-align: justify\">Where, Qn &lt; 0, is the space charge per unit area of inversion layer (or channel) and Z is the channel width.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong><em>Case B<\/em><\/strong><strong>: For moderate value of +V<\/strong><strong>D<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">With increase in <em>V<\/em><em>D<\/em>, potential will distribute throughout the channel. Potential difference between G and inversion layer will be more near S and very less near D. Thus, electron concentration (Qn) in channel will be relatively less near D, and hence channel resistance increases. I-V curve will bend downward from initial linear variation.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong><em>Case C: For large V<\/em><\/strong><strong><em>D<\/em><\/strong><strong><em> If V<\/em><\/strong><strong><em>D<\/em><\/strong><strong><em> further increases (V<\/em><\/strong><strong><em>Dsat<\/em><\/strong>), the potential drop across oxide near drain will continue to decrease, and may until it falls below the value required to maintain an inversion layer, i.e. width of inversion layer xi at y = L reduced to zero [known as Pinch off point]. At this condition, Drain gets isolated from conducting channel (inversion layer) by a depletion region. The ID will then saturate to a constant value Idsat at VD = VDsat.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong><em>Case D: As V<\/em><\/strong><strong><em>D<\/em><\/strong><strong><em> &gt; V<\/em><\/strong><strong><em>Dsat<\/em><\/strong>, ID remains as IDsat. The pinch off point P will move towards Source, and effective channel length (L ) will decrease. However, the potential at P will remain at VDsat, and additional voltage in excess of VDsat will drop across depletion region. Thus, number of carriers arriving at point P from Source and hence current flowing from D to S remains the constant.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-80 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36.png\" alt=\"\" width=\"692\" height=\"310\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36.png 692w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36-300x134.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36-65x29.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36-225x101.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-36-350x157.png 350w\" sizes=\"auto, (max-width: 692px) 100vw, 692px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">If VG or VGS increases (For Fixed <em>V<\/em><em>D<\/em>), leads to increases in the inversion layer and thus charge Qn.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Therefore, channel resistance decreases or ID increases for a given VD. The pinch off will occur at a higher value of VD.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong>3.3 Study of I-V relationship for n-channel E-MOSFET <\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Consider ideal condition and following assumptions<\/p>\n<ul>\n<li style=\"text-align: justify\">Ideal MOS structure [no charge in oxide and no difference in work functions of Gate and Semiconductors, <em>ms<\/em> <em>= 0]<\/em><\/li>\n<li style=\"text-align: justify\">Current flow in one dimention (i.e. in channel only). No current flows from Channel to Gate.<\/li>\n<li style=\"text-align: justify\">Electron mobility in Inversion layer (channel) is constant and is independent of electric field.<\/li>\n<li style=\"text-align: justify\"><span style=\"font-size: 1em\">Doping in the semiconductor in the channel region is uniform.<\/span><\/li>\n<li style=\"text-align: justify\"><span style=\"font-size: 1em\">Reverse-leakage current is negligibly small.<\/span><\/li>\n<li style=\"text-align: justify\"><span style=\"font-size: 1em\">Transverse electric field (perpendicular to the current flow) at edge of the depletion region in channel is much larger than the longitudinal electric field (parallel to current flow).<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-81 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37.png\" alt=\"\" width=\"356\" height=\"275\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37.png 356w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37-300x232.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37-65x50.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37-225x174.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-37-350x270.png 350w\" sizes=\"auto, (max-width: 356px) 100vw, 356px\" \/><\/p>\n<ol start=\"4\">\n<li style=\"text-align: justify\"><strong> Theoretical characteristics of a MOSFET<\/strong><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">The relationship between voltages applied to the MOSFET electrodes and the current that flows from source to the drain, is described in this section.\u00a0An ideal model of an n-channel MOSFET is shown in figure 5. Consider strong inversion condition [No drain current flow in a MOS so system in thermal equilibrium i.e. VD = 0], the surface potential.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong>Consider n-channel MOSFET<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Total charge induced in semiconductor at y<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-82 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38.png\" alt=\"\" width=\"551\" height=\"59\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38.png 551w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38-300x32.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38-65x7.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38-225x24.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-38-350x37.png 350w\" sizes=\"auto, (max-width: 551px) 100vw, 551px\" \/><\/p>\n<p style=\"text-align: justify\">where Qn is the charge per unit area in inversion region and Qsc is the charge per unit area in depletion region.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Applied VG is partly divided in oxide layer and semiconductor\u00a0 as<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-83 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39.png\" alt=\"\" width=\"380\" height=\"120\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39.png 380w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39-300x95.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39-65x21.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39-225x71.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-39-350x111.png 350w\" sizes=\"auto, (max-width: 380px) 100vw, 380px\" \/><\/p>\n<p style=\"text-align: justify\">where, Vo is voltage drop across oxide layer.In case of non ideal MOS capacitor, with flat-band voltage VFB, equation (3) is modified as<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-84 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40.png\" alt=\"\" width=\"732\" height=\"497\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40.png 732w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40-300x204.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40-65x44.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40-225x153.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-40-350x238.png 350w\" sizes=\"auto, (max-width: 732px) 100vw, 732px\" \/><\/p>\n<p>At onset of inversion,<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-85 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-41.png\" alt=\"\" width=\"183\" height=\"40\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-41.png 183w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-41-65x14.png 65w\" sizes=\"auto, (max-width: 183px) 100vw, 183px\" \/><\/p>\n<p style=\"text-align: justify\">Under practical operating condition, space charge region in MOS transistor is not in equilibrium i.e. when VD &gt; 0, the surface potential will increase with y [due to potential distribution in semiconductor]. If V(y) is channel potential at any point y for a drain voltage VD, then to a good approximation the surface potential for strong inversion is<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-86 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42.png\" alt=\"\" width=\"427\" height=\"47\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42.png 427w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42-300x33.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42-65x7.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42-225x25.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-42-350x39.png 350w\" sizes=\"auto, (max-width: 427px) 100vw, 427px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Also using depletion approximation, the charge per unit area at strong inversion (as calculated while discussing MOS diode) is<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-87 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43.png\" alt=\"\" width=\"704\" height=\"547\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43.png 704w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43-300x233.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43-65x51.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43-225x175.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-43-350x272.png 350w\" sizes=\"auto, (max-width: 704px) 100vw, 704px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">For ideal MOSFET remove the contribution from VFB in equation (10) <strong>Now, discussing above equation (10) in different conditions (A) LINEAR REGION<em>:<\/em><\/strong>For small VD such that VD &lt;&lt; VG &#8211; VT\u00a0 or<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-88 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-44.png\" alt=\"\" width=\"291\" height=\"73\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-44.png 291w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-44-65x16.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-44-225x56.png 225w\" sizes=\"auto, (max-width: 291px) 100vw, 291px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-89 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45.png\" alt=\"\" width=\"726\" height=\"431\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45.png 726w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45-300x178.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45-65x39.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45-225x134.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-45-350x208.png 350w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">By plotting ID versus VG (for small VD), VT can be obtained from linear extrapolation to VG axis.For n-channel MOSFET, VFB is small negative and other two terms of equation (13) are positive, =&gt; VT &gt; 0 (turn- on voltage).<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">From equation (12) =&gt; ID VD for small VD. In linear region from equation (12) we have<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-90 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46.png\" alt=\"\" width=\"726\" height=\"431\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46.png 726w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46-300x178.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46-65x39.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46-225x134.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-46-350x208.png 350w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>(B) SATURATION REGION:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">When VD &gt;Vsat, then at Drain end the net voltage across MOS is less than or equal to VT i.e. number of mobile electrons in channel at the Drain are reduced drastically(Pinch off point).<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">At Source side: V(y) =0 ,Qn(y) = Qn at y = 0<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">At Drain side: V(y) = VDsat , Qn(y) = 0 at y = L<\/p>\n<p>&nbsp;<\/p>\n<p>Putting source side condition in equation (7) i.e. for Qn (y), we have<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-91 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47.png\" alt=\"\" width=\"723\" height=\"169\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47.png 723w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47-300x70.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47-65x15.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47-225x53.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-47-350x82.png 350w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Find out VDsat from equation (16) and substitute VD = VDsat in equation (10), we can obtain expression for ID in saturation region i.e. IDsat.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">However, when NA is very low and oxide layer thickness is small (i.e. Co is large), then &lt;&lt; 1 (from 17). Here voltage drop in oxide is negligibly small compared to 2 B.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Thus equation (16) becomes<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-92 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48.png\" alt=\"\" width=\"705\" height=\"447\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48.png 705w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48-300x190.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48-65x41.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48-225x143.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-48-350x222.png 350w\" sizes=\"auto, (max-width: 705px) 100vw, 705px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-93 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49.png\" alt=\"\" width=\"609\" height=\"81\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49.png 609w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49-300x40.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49-65x9.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49-225x30.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-49-350x47.png 350w\" sizes=\"auto, (max-width: 609px) 100vw, 609px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">Thus Channel conductance (gD) in linear region (eqn. 14) is same as Trans Conductance (gm) in saturation region (eqn. 20) for MOSFET.<\/p>\n<ol style=\"text-align: justify\" start=\"5\">\n<li><strong>Construction of n and p-channel Depletion mode MOSFET<\/strong><\/li>\n<\/ol>\n<p style=\"text-align: justify\"><strong>\u00a0<\/strong><\/p>\n<p style=\"text-align: justify\">Figure 6 shows the n-channel D-MOSFET. Drain (D) and Source (S) leads connect to the to n+-doped regions via an n-channel. n-channel is connected to the Gate (G) via a thin insulating layer of SiO2. The n-doped material lies on a p-doped substrate that may have an additional terminal connection called SS.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-94 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50.png\" alt=\"\" width=\"613\" height=\"287\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50.png 613w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50-300x140.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50-65x30.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50-225x105.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-50-350x164.png 350w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-95 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51.png\" alt=\"\" width=\"675\" height=\"351\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51.png 675w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51-300x156.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51-65x34.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51-225x117.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-51-350x182.png 350w\" sizes=\"auto, (max-width: 675px) 100vw, 675px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52.png\" alt=\"\" width=\"675\" height=\"351\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52.png 675w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52-300x156.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52-65x34.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52-225x117.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-52-350x182.png 350w\" sizes=\"auto, (max-width: 675px) 100vw, 675px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-97 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53.png\" alt=\"\" width=\"695\" height=\"291\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53.png 695w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53-300x126.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53-65x27.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53-225x94.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-53-350x147.png 350w\" sizes=\"auto, (max-width: 695px) 100vw, 695px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">The p-channel Depletion mode MOSFET is similar to the n-channel except that channel is p-type and the voltage polarities and current directions are reversed<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-99 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55.png\" alt=\"\" width=\"713\" height=\"548\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55.png 713w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55-300x231.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55-65x50.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55-225x173.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-55-350x269.png 350w\" sizes=\"auto, (max-width: 713px) 100vw, 713px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-100 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56.png\" alt=\"\" width=\"362\" height=\"216\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56.png 362w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56-300x179.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56-65x39.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56-225x134.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-56-350x209.png 350w\" sizes=\"auto, (max-width: 362px) 100vw, 362px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-101 aligncenter\" src=\"http:\/\/msp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57.png\" alt=\"\" width=\"673\" height=\"229\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57.png 673w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57-300x102.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57-65x22.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57-225x77.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-content\/uploads\/sites\/111\/2018\/12\/Untitled-57-350x119.png 350w\" sizes=\"auto, (max-width: 673px) 100vw, 673px\" \/><\/p>\n<p><strong>7. Summary<\/strong><\/p>\n<ul>\n<li style=\"text-align: justify\">Schematic of enhancement mode MOSFET (E-MOSFET)<\/li>\n<li style=\"text-align: justify\">Detailed operation of n-channel MOSFET<\/li>\n<li style=\"text-align: justify\">Study of IV characteristics for E-MOSFET<\/li>\n<li style=\"text-align: justify\">Construction of n and p-channel Depletion mode MOSFET<\/li>\n<li style=\"text-align: justify\">Frequency limit for MOSFET<\/li>\n<\/ul>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Metal Oxide Semiconductor Field Effect Transistor (MOSFET) <\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/lYB4LlTUP5I\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"author":3,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-ayushi-paliwal","dr-monika-tomar"],"pb_section_license":""},"chapter-type":[],"contributor":[59,58],"license":[],"class_list":["post-74","chapter","type-chapter","status-publish","hentry","contributor-dr-ayushi-paliwal","contributor-dr-monika-tomar"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/chapters\/74","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":6,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/chapters\/74\/revisions"}],"predecessor-version":[{"id":107,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/chapters\/74\/revisions\/107"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/chapters\/74\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/wp\/v2\/media?parent=74"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/pressbooks\/v2\/chapter-type?post=74"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/wp\/v2\/contributor?post=74"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp10\/wp-json\/wp\/v2\/license?post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}