LIST
FEGURÐ OG VELLÍÐAN
HANDVERK
MENNING OG SAGA
SKEMMTUN
UMHVERFI
MATUR OG DRYKKUR
ÖFUGVERKFRÆÐI
VÍSINDI
ÍÞRÓTTIR
TÆKNI
KLÆÐANLEG TÆKNI
The MOSFET
Penny

Búin til af

Penny

28. ágúst 2026DK
0
0
0
0
0

The MOSFET

The field-effect transistor is older than the one that made the industry. Julius Lilienfeld patented the idea in 1926: put a voltage on a plate near a semiconductor, and the field should attract carriers into the surface and make it conduct. No current flows into the plate, so control costs nothing. It is a more elegant device than the bipolar transistor in every respect. It did not work for thirty years, and the reason is one of the great diagnostic stories in physics. Bardeen worked it out in 1947: the surface of a semiconductor is covered in states that trap charge, and the trapped charge screens the field so effectively that almost none of it reaches inside. You can apply the voltage; the surface simply absorbs it. Bardeen and Brattain were investigating exactly that failure when they found the point-contact transistor instead — the bipolar transistor is a consolation prize from a failed FET experiment. What was needed was a surface with almost no traps, and by 1959 one existed: the thermally grown silicon dioxide interface from Hoerni's planar process, which satisfies all but about one dangling bond in a hundred thousand. Martin Atalla had been studying that passivation directly. He and Dawon Kahng built the metal-oxide-semiconductor field-effect transistor at Bell Labs and demonstrated it in 1960. It was received without enthusiasm. It was slower than the bipolar transistors of the day, and its threshold voltage drifted because sodium ions in the oxide moved under the gate field. Bell Labs did not pursue it hard. What it had, and what took a decade to matter, was this: the gate is a capacitor plate, so it draws no steady current at all. A bipolar transistor's base must be fed continuously. Put ten thousand bipolar transistors on a chip and the base currents alone will melt it; put ten thousand MOSFETs on a chip and the static power is nearly zero. Every processor in the world is MOS for that one reason, and the elegance Lilienfeld saw in 1926 turned out to be the property that scaled. You will measure a real MOSFET, extract its threshold voltage properly, and see the no-gate-current property directly.
Lengra kominn
6 hours

Leiðbeiningar

1

Inversion — how a voltage makes a channel out of nothing

A MOSFET looks impossible at first inspection, and understanding why it is not is the whole physics of the device. An n-channel MOSFET is built on P-TYPE silicon, whose mobile carriers are holes. Into it are diffused two heavily doped N-TYPE regions, the source and the drain. Between them is p-type silicon, and above that a thin oxide with a metal gate on top. With no gate voltage, look at the path from source to drain: n-type, then p-type, then n-type. That is two junctions back to back, one of which is reverse-biased whichever way you apply a voltage. No current flows. The device is off, and it is off very well. Now put a positive voltage on the gate. The gate, oxide and silicon form a capacitor, so positive charge on the gate must be balanced by negative charge in the silicon. At first that happens by pushing the mobile holes away from the surface, leaving behind the fixed negative charge of the acceptor atoms — depletion. Raise the gate voltage further and the depletion region cannot supply any more negative charge, because the acceptors are fixed in place and there are only so many. So the silicon does something else. It pulls ELECTRONS to the surface — minority carriers, thermally generated and supplied readily by the two n-type regions sitting right there. At a certain gate voltage the electron concentration at the surface exceeds the hole concentration, and a thin sheet of the p-type silicon has become effectively n-type. It has INVERTED. That inversion layer is a continuous n-type path from source to drain, and current flows. The gate voltage at which it forms is the THRESHOLD VOLTAGE, and it is the single most important parameter of the device. Three consequences worth holding onto. The channel is not built, it is INDUCED. Remove the gate voltage and it vanishes. Nothing was doped, nothing was etched; the conducting path is a population of electrons held at the surface by an electric field. The gate draws no steady current, because there is an insulator under it. It draws a transient current while the capacitance charges, and that is all. This is the property that lets you put billions of them on a chip. And the source and drain are physically identical. Which one is which is decided by the voltages you apply, not by the construction — the device is symmetric, and in some circuits current genuinely flows both ways.

Nauðsynleg verkfæri:

Notebook and PencilNotebook and Pencil
2

Build a curve tracer and measure a real MOSFET

Datasheets state a threshold voltage. Measuring your own is more instructive, because the number turns out to depend on how you define it and the spread between nominally identical parts is large. THE CIRCUIT. Source to ground through a 1 ohm sense resistor. Drain to 5 volts through nothing but the ammeter path — the sense resistor does the current measurement. Gate driven by an MCP4725 12-bit DAC, giving about 0.8 millivolt steps over the 0 to 3.3 volt range, which is fine resolution across a threshold that will land somewhere between 1 and 3 volts. Use a logic-level N-channel part — a 2N7000 for small currents or an IRLZ44N if you want to see real drive capability. Keep the drain current below about 200 milliamps; the sketch stops the sweep there. WHY A SENSE RESISTOR RATHER THAN A MULTIMETER IN SERIES. Because you want hundreds of readings swept automatically, and because a 1 ohm shunt read by the ADC gives you current and voltage simultaneously at the same instant. The cost is that the shunt drops a little voltage, so the sketch subtracts it to get the true drain-source voltage. RUN THE TRANSFER SWEEP. The sketch steps the gate from 0 to 3.3 volts and logs gate voltage, drain current and drain-source voltage as CSV. Watch the output: nothing, nothing, nothing, and then current appears and climbs steeply. That knee is the threshold. THEN DO THE THING THAT PROVES IT IS A FIELD-EFFECT DEVICE. Put your multimeter in series with the gate lead, on its most sensitive current range, and sweep again. The reading stays at essentially zero — picoamps to nanoamps, which is leakage through the oxide and through the meter itself — across the entire sweep, while the drain carries a hundred milliamps. That is the measurement. A bipolar transistor passing 100 milliamps at a gain of 100 needs a milliamp of base current, continuously, forever. The MOSFET needs none. Multiply by a billion devices and that is why every processor is MOS. MEASURE THE SPREAD. Sweep five nominally identical parts from the same bag and compare their thresholds. Expect several hundred millivolts of variation. Threshold depends on oxide thickness, substrate doping, work function difference and fixed charge in the oxide, and all four vary across a wafer. That spread is a first-order design constraint, and it is why analogue MOS design leans so heavily on matched pairs made side by side rather than on absolute values.
curve_tracer.inocpp
// MOSFET curve tracer - transfer and output characteristics.
// Board: ESP32 DevKit v1.  Gate drive: MCP4725 12-bit DAC over I2C.
//
// WHAT IT MEASURES AND WHY THAT IS THE WHOLE POINT OF THE DEVICE:
//   transfer curve  Id vs Vgs at fixed Vds  -> extract THRESHOLD VOLTAGE
//   output curve    Id vs Vds at fixed Vgs  -> see saturation, the flat region
//
// A MOSFET gate draws NO steady current - it is one plate of a capacitor with an
// insulator under it. That is the entire difference from a bipolar transistor, and
// you can see it here: the DAC output current never changes as Vgs sweeps.
//
// SAFETY / RANGE: run the drain from 5 V through a sense resistor. Keep dissipation
// low - a small logic-level N-channel part (2N7000, IRLZ44N) at Id < 200 mA is fine.

#include <Wire.h>
#include <Adafruit_MCP4725.h>

#define VDS_SENSE_PIN   34      // ADC1 - voltage at the drain node
#define ISENSE_PIN      35      // ADC1 - voltage across the sense resistor
#define R_SENSE_OHMS    1.0f    // 1 ohm, 1 W, 1% - the current shunt
#define VREF            3.30f
#define ADC_MAX         4095.0f
#define DAC_MAX         4095
#define SETTLE_MS       8

Adafruit_MCP4725 dac;

float readVolts(int pin) {
  // 32 samples: switching supplies and the DUT itself are noisy.
  uint32_t acc = 0;
  for (int i = 0; i < 32; i++) { acc += analogRead(pin); delayMicroseconds(200); }
  return (acc / 32.0f) * (VREF / ADC_MAX);
}

void setup() {
  Serial.begin(115200);
  Wire.begin();
  if (!dac.begin(0x60)) {
    Serial.println("# MCP4725 not found at 0x60 - check wiring");
    while (1) delay(1000);
  }
  analogSetPinAttenuation(VDS_SENSE_PIN, ADC_11db);
  analogSetPinAttenuation(ISENSE_PIN,    ADC_11db);
  dac.setVoltage(0, false);
  delay(200);

  // ---- TRANSFER CURVE: sweep Vgs, watch Id appear at threshold ----
  Serial.println("# transfer characteristic");
  Serial.println("vgs_v,id_ma,vds_v");
  for (int code = 0; code <= DAC_MAX; code += 16) {
    dac.setVoltage(code, false);
    delay(SETTLE_MS);
    float vgs = code * (VREF / DAC_MAX);
    float vsense = readVolts(ISENSE_PIN);
    float id_ma = (vsense / R_SENSE_OHMS) * 1000.0f;
    float vds = readVolts(VDS_SENSE_PIN) - vsense;
    Serial.printf("%.4f,%.3f,%.4f\n", vgs, id_ma, vds);
    if (id_ma > 200.0f) {            // protect the part
      Serial.println("# current limit reached - sweep stopped");
      break;
    }
  }
  dac.setVoltage(0, false);
  delay(500);

  // ---- THRESHOLD: extrapolate sqrt(Id) vs Vgs in saturation ----
  // In saturation Id is proportional to (Vgs - Vth)^2, so sqrt(Id) is LINEAR in Vgs
  // and its x-intercept is Vth. This is the standard extraction and it is far more
  // robust than picking an arbitrary "Id = 1 mA" definition.
  Serial.println("# sqrt-extrapolation: fit sqrt(id) vs vgs over the linear stretch,");
  Serial.println("# x-intercept = Vth. Do the fit in the notebook, not on the ESP32.");

  Serial.println("# DONE - paste the CSV above into the jupyter step");
}

void loop() { }

Efni fyrir þetta skref:

ESP32 Development BoardESP32 Development Board1 stykki
MCP4725 12-Bit DAC Module (3-Pack)MCP4725 12-Bit DAC Module (3-Pack)1 stykki
N-Channel MOSFET (2N7000)N-Channel MOSFET (2N7000)10 stykki
IRF540N N-Channel MOSFET (10-Pack)IRF540N N-Channel MOSFET (10-Pack)5 stykki
Precision Resistor KitPrecision Resistor Kit1 sett
BreadboardBreadboard1 stykki
Jumper Wire SetJumper Wire Set1 sett

Nauðsynleg verkfæri:

Digital Multimeter (Lab Grade)Digital Multimeter (Lab Grade)
Soldering Station (Temperature-Controlled)Soldering Station (Temperature-Controlled)
Bench Power Supply (30V/5A)Bench Power Supply (30V/5A)
Oscilloscope (2-Channel, 100MHz)Oscilloscope (2-Channel, 100MHz)
Desktop ComputerDesktop Computer
3

Extract the threshold properly, and see why the gate is a capacitor

Loading Jupyter Notebook...

Nauðsynleg verkfæri:

Desktop ComputerDesktop Computer
Notebook and PencilNotebook and Pencil
4

Compendium — thirty years of not working, then everything

WHY DID LILIENFELD'S 1926 PATENT NOT WORK? Surface states. He had the physics right and no way to make a surface clean enough. Bardeen's 1947 surface-state theory explained the failure quantitatively: trapped charge at the semiconductor surface screens the applied field so thoroughly that almost none penetrates. Attempting to verify that theory is what led Bardeen and Brattain to the point-contact transistor — the bipolar transistor exists because the field-effect transistor did not. WHY DID THE THRESHOLD DRIFT IN EARLY DEVICES? Sodium. Sodium ions are small, positively charged and mobile in silicon dioxide at modest temperatures, so they drift under the gate field and pile up at whichever interface the field pushes them to. Positive charge near the silicon shifts the threshold, so a device biased on for hours came back with a different threshold. It was traced to contamination from handling and glassware, and defeated by obsessive cleanliness plus phosphosilicate glass layers that trap the sodium before it arrives. Almost the entire discipline of semiconductor cleanroom practice descends from chasing this one ion. WHAT WAS THE SILICON GATE, AND WHY DID IT MATTER SO MUCH? Original MOSFETs used an aluminium gate, deposited AFTER the source and drain were diffused — so the gate had to be aligned to them, and alignment error meant you had to make the gate deliberately oversized to guarantee overlap. That overlap is capacitance between gate and source or drain, and it slows the device badly. The silicon-gate process, developed by Federico Faggin and Tom Klein at Fairchild around 1968 building on work by Chih-Tang Sah, replaces the metal with heavily doped polycrystalline silicon and deposits it BEFORE the source and drain. The gate then acts as its own mask: the dopant enters everywhere except where the gate shadows it, so the source and drain define themselves against the gate edge with zero alignment error. That is SELF-ALIGNMENT, it removes the overlap capacitance almost entirely, and it is the single change that made MOS fast enough to build a processor from. Faggin took it to Intel and used it to design the 4004. WHY IS CMOS THE ONE THAT SURVIVED? A single MOSFET switching a resistive load burns power whenever it is on. CMOS pairs an n-channel and a p-channel device so that in either stable state exactly one of them is off — so the path from supply to ground is always broken and static current is essentially zero. Frank Wanlass patented it at Fairchild in 1963. It was ignored for years because it needs both device types and therefore more process steps and more area. It won when power density, not area, became the binding constraint, which happened in the 1980s and has never stopped being true. WHY DID THE GATE OXIDE STOP SHRINKING? It reached about 1.2 nanometres, five atomic layers, and electrons began tunnelling straight through it. Leakage through the gate started to rival the switching power. The fix was to stop using silicon's own oxide for the gate and adopt hafnium-based high-permittivity dielectrics around 2007, which give the same capacitance from a physically thicker film. Fifty years of running on the material's own oxide ended there, for a quantum-mechanical reason. WHAT IS THE HONEST SUMMARY? The MOSFET was invented first, worked last, was unimpressive when it finally worked, and then turned out to have the one property — no static control current — that mattered more than everything the bipolar transistor was better at. That is a reasonably common shape for a technology, and it is worth remembering the next time something is dismissed for being slower.

Nauðsynleg verkfæri:

Notebook and PencilNotebook and Pencil

Efni

7

Nauðsynleg verkfæri

6
Estimated Total
$10.00

CC0 opinbert ríki

Þessi teikning er gefin út undir CC0. Þér er frjálst að afrita, breyta, dreifa og nota þetta verk í hvaða tilgangi sem er, án þess að biðja um leyfi.

Studdu smiðinn með því að kaupa vörur í gegnum teikningu hans þar sem hann fær þóknun smiða sem seljendur ákvarða, eða búðu til nýja endurskoðun á þessari teikningu og tengdu hana sem tengingu í þinni eigin teikningu til að deila tekjum.

Umræða

(0)

Skrá inn til að taka þátt í umræðunni

Hleður athugasemdum...