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Semiconductor Science

Aaron Snowberger

14주차:

  • MOSFETs

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MOSFETs (Metal Oxide FETs)

12

p. 382-428

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Preview

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Learning Objectives

By the end of this chapter, you should be able to:

  1. Discuss the functional differences between MOSFETs and JFETs.
  2. Draw and explain a basic DC bias model for a MOSFET.
  3. Graph the transconductance curves for both DE-MOS and E-MOS transistors, and describe their functional differences.
  4. Perform DC bias analysis on various MOSFET circuits.
  5. Explain necessary ESD precautions for MOS devices.

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12.1 Introduction

MOSFETs (Metal-Oxide-Semiconductor Field-Effect Transistors) are similar to JFETs in having low gate current and functioning as voltage-controlled current sources. They come in N- and P-channel types and exist in two forms:

  • DE-MOSFET: Depletion and enhancement mode capable.
  • E-MOSFET: Enhancement-only.

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12.1 Introduction

DE-MOSFETs can use JFET biasing techniques; E-MOSFETs require new ones. Both types can be used in AC amplifiers like common source and drain configurations with similar input impedance and gain equations as JFETs.

E-MOSFETs are also used in power applications, offering advantages like higher speed and better thermal stability compared to BJTs.

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12.1 Introduction

A key concern is ESD (Electrostatic Discharge) sensitivity due to their insulated gate (no PN junction), which makes them also known as IGFETs. The insulation leads to very high input resistance but requires careful handling.

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12.2 The DE-MOSFET

A DE-MOSFET operates by modulating current through the drain-source channel using gate-source voltage, but unlike a JFET, it has a capacitor-like structure with an insulated gate.

  • When VGS = 0, current flows normally.
  • For small VDS, the channel behaves ohmically; for higher VDS, it saturates like a constant current source.
  • If VGS is negative, a depletion region forms, reducing current.
  • VGS(off) is the point at which the current is fully cut off.
  • IDSS is the current when VGS = 0.

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12.2 The DE-MOSFET

DE-MOSFETs are unique because they also operate in enhancement mode when VGS > 0, increasing current. This is unlike JFETs, which lose control in this region.

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12.2 The DE-MOSFET

The device operates in both depletion and enhancement modes, extending the VGS range and resulting in a modified current-voltage characteristic curve.

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12.2 The DE-MOSFET

The maximum VGS is limited (e.g., 20–30V), beyond which the insulation may break down. ESD can easily damage the device due to its high sensitivity, even from common static charges on the human body.

ESD Protection Measures:

  • Manufacturing with Zener diodes (though they may leak current).
  • Conductive packaging.
  • Grounded mats, wrist straps, and controlled environments to prevent static buildup.

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12.2 The DE-MOSFET

Since the operating equation is largely the same as for JFETs, most JFET analysis techniques (like transconductance equations) apply. However, gm0 (initial transconductance) may no longer represent the maximum due to the ability to enhance current beyond IDSS.

Schematic symbols show the insulated gate and usually tie the substrate back to the source, with arrows indicating N-type material flow.

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12.3 DE-MOSFET Biasing

Since DE-MOSFETs and JFETs share the same characteristic equations, they can use the same DC biasing methods—self bias, combination bias, and current source bias—all second-quadrant schemes with negative VGS. However, DE-MOSFETs also support first-quadrant operation, enabling zero bias and voltage divider bias techniques.

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12.3 DE-MOSFET Biasing

Zero Bias

  • In zero bias, VGS = 0 V.
  • No separate DC source or source resistor is needed—minimal component design.
  • Acts like a mix of self and constant voltage bias.
  • Since gate current is ideally zero, the gate voltage is 0 V.
  • The source is grounded, so VGS = 0 V.
  • AC input causes operation to swing between depletion and enhancement modes.
  • Operating point is easy to find: ID = IDSS, gm = gm0.
  • Poor Q-point stability.
  • Not suitable for source follower or swamped amplifiers.

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12.3 DE-MOSFET Biasing

Zero Bias

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12.3 DE-MOSFET Biasing

Voltage Divider Bias

  • A constant voltage bias method that operates in enhancement mode.
  • Gate voltage is set using a resistor voltage divider (R1 and R2).
  • Source is grounded, so VGS = VG = VR2 (positive).
  • Positive VGS ensures enhancement-mode operation.
  • Drain current (ID) is found via characteristic equation or graph.
  • High-value resistors are acceptable due to negligible gate current.

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12.3 DE-MOSFET Biasing

Voltage Divider Bias

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12.4 The E-MOSFET

E-MOSFETs come in low and high power forms and operate only in enhancement mode (first quadrant).

  • Structure: Similar to DE-MOSFET but with P material reaching the gate oxide, preventing conduction at zero or negative VGS.
  • "Normally off" devices: No conduction unless VGS exceeds a threshold voltage VGS(th).
  • When VGS exceeds the threshold, an N-type inversion layer forms, enabling current flow.
  • Increasing VGS increases conduction.

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12.4 The E-MOSFET

E-MOSFETs come in low and high power forms and operate only in enhancement mode (first quadrant).

  • Characteristic Regions: Ohmic (triode), Saturation (constant current), Breakdown.
  • Equation: E-MOSFETs follow a square-law equation in saturation mode.
  • Transconductance (gm): Derived from the characteristic equation.
  • Drain current curve is similar to a BJT's, rising after VGS(th).

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12.4 The E-MOSFET

Power E-MOSFETs

  • Use a different structure, often with trench-style gates.
  • Feature low rDS(on), fast switching, and low drive current needs.
  • Preferred in power electronics like DC-DC converters and switching regulators.
  • Vertical current flow (vs. lateral in low power devices) improves performance.
  • Drain is placed opposite the gate and source to reduce resistance and boost current capacity.
  • Characteristic curves resemble low power E-MOSFETs but are steeper.

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12.5 E-MOSFET Data Sheet Interpretation

The FDMS86180 is a high-power N-channel E-MOSFET with trench construction. It's RoHS compliant and housed in a Power 56 package.

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12.5 E-MOSFET Data Sheet Interpretation

  • rDS(on): Very low, just a few milliohms
  • Current: 151 A continuous, 775 A pulsed (at room temperature)
  • Breakdown Voltage: 100 V
  • IDSS: 1 μA (leakage current for normally-off devices)
  • VGS(th): 2.0–4.0 V (typical 3.2 V)
  • Transconductance (gFS): 144 S at 67 A
  • Switching Speed: Turn-on/off in tens of nanoseconds

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12.5 E-MOSFET Data Sheet Interpretation

Performance graphs show:

  • Ohmic region up to VDS = 5 V
  • rDS(on) increases with temperature (about 3x across range)
  • gm decreases with temperature, indicating a negative temp coefficient

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12.6 E-MOSFET Biasing

E-MOSFETs work only in the first quadrant, so JFET-style biasing won't apply. For switching, only sufficient gate drive is needed. For linear amplifier use, constant voltage bias methods are employed.

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12.6 E-MOSFET Biasing

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12.6 E-MOSFET Biasing

Voltage Divider Bias

Similar to BJT biasing:

  • Gate must be above source voltage
  • Input gate current is negligible
  • VGS is not fixed; it depends on the rest of the circuit

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12.6 E-MOSFET Biasing

Voltage Divider Bias

In this bias setup:

  • Resistors R1 and R2 create a voltage divider
  • With source grounded, VGS = VG
  • VG must exceed VGS(th)
  • Use the characteristic curve or a normalized plot to determine drain current once the device constant k is found (from ID(on), VGS(on))

Decoupling can be used to allow for more flexible resistor values.

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12.6 E-MOSFET Biasing

Voltage Divider Bias

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12.6 E-MOSFET Biasing

Drain Feedback Bias

Uses the device's characteristic curve:

  • Sets drain current by choosing suitable drain resistor and supply voltage
  • Gate current is negligible, simplifying KVL equations
  • Simple, effective circuit with minimal components

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12.6 E-MOSFET Biasing

Drain Feedback Bias

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Summary

  • MOSFET Types: DE-MOSFET (depletion-enhancement) and E-MOSFET (enhancement-only)
  • Both use insulated gates and exhibit square-law characteristics
  • Gate currents are extremely small; devices are sensitive to electrostatic discharge (ESD)
  • DE-MOSFETs: Operate in both quadrants, can use JFET biasing methods
  • E-MOSFETs: Operate only in enhancement mode (first quadrant), IDSS is leakage current
  • High-power E-MOSFETs have vertical current paths → higher current capacity and lower rDS(on)

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Review Questions

  1. What are the differences between JFETs and MOSFETs?
  2. What are the differences between DE-MOSFETs and E-MOSFETs?
  3. Why are MOSFETs sometimes referred to as “Insulated Gate” or IGFETs?
  4. How does the DC bias model of the MOSFET compare to that of the BJT?
  5. What biasing circuits are available for use with the DE-MOSFET?
  6. What biasing circuits are available for use with the E-MOSFET?
  7. What is “trench” construction and where is it used?
  8. Explain typical precautions taken when handling MOSFETs and why they are necessary.

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MOSFETs Small Signal Amplifiers

13

p. 348-444

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Learning Objectives

By the end of this chapter, you should be able to:

  • Draw and explain a basic AC model for a MOSFET.
  • Analyze MOSFET amplifiers (common source) for voltage gain, input impedance, and output impedance.
  • Analyze MOSFET voltage followers (common drain) for the same parameters.

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13.1 Introduction

MOSFETs are used in common source amplifiers (voltage amplifiers) and common drain amplifiers (voltage followers). They offer high input impedance because of very low gate current. However, at higher frequencies, input capacitance reduces this impedance. Not all bias types work well with all AC circuits—e.g., zero bias for DE-MOSFETs isn't ideal for followers or swamped amplifiers.

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13.1 Introduction

MOSFET amplifiers are known for:

  • Good high-frequency performance
  • Low noise
  • Low distortion with small signals

However, they typically offer lower voltage gain than BJTs. Gain depends on transconductance (gm), which varies widely among MOSFET types.

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13.2 MOSFET Common Source Amplifiers

To analyze MOSFET amplifiers, an AC model is used with:

  • A voltage-controlled current source
  • An input resistance 𝑟𝐺𝑆

The model is similar to that of a JFET, with the main difference being the higher input resistance due to the MOSFET's insulated gate. Capacitances are ignored for basic analysis.

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13.2 MOSFET Common Source Amplifiers

Voltage Gain

The voltage gain is derived using Ohm’s Law, based on the general model.

  • If not swamped (no source resistor), gain is higher.
  • A swamping resistor helps stabilize gain and reduce distortion but lowers gain.

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13.2 MOSFET Common Source Amplifiers

Input Impedance

  • Determined by 𝑟𝐺 (resistor network before the gate) in parallel with 𝑟𝐺𝑆, which is extremely high (up to 1012 ohms).
  • Practical circuits often have much lower 𝑟𝐺, so it dominates.
  • Different biasing methods affect how 𝑟𝐺 is computed (e.g., single resistor, voltage divider, decoupled divider, or drain feedback).

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13.2 MOSFET Common Source Amplifiers

Output Impedance

  • Typically approximated as the drain resistor 𝑅𝐷, since the internal impedance of the current source is much higher.

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13.2 MOSFET Common Source Amplifiers

Computer Simulation

A simulated version of the amplifier from Example 13.1 uses a BSS229 DE-MOSFET model.

  • The model’s characteristics (IDSS and 𝑉𝐺𝑆(𝑜𝑓𝑓)) were tested and found close to the desired values.

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13.2 MOSFET Common Source Amplifiers

Computer Simulation

A simulated version of the amplifier from Example 13.1 uses a BSS229 DE-MOSFET model.

  • Transient analysis showed signal inversion and output amplitude close to expected values.

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13.2 MOSFET Common Source Amplifiers

Computer Simulation

A simulated version of the amplifier from Example 13.1 uses a BSS229 DE-MOSFET model.

  • DC operating point simulation confirmed predicted values: drain voltage ~17 V, source ~0.7–0.8 V, and gate ~0 V.

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13.3 MOSFET Common Drain Followers

Also known as source followers, common drain amplifiers function as voltage followers. The input is applied to the gate, and the output is taken from the source. Because the output is at the source, biasing schemes that ground the source, such as zero bias and voltage divider bias, are not suitable.

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13.3 MOSFET Common Drain Followers

Voltage Gain

Voltage gain is the ratio of output to input voltage. In this configuration, if gₘ·rₛ >> 1, the voltage gain is close to 1, which is ideal for followers.

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13.3 MOSFET Common Drain Followers

Input Impedance

The input impedance analysis is similar to that of the common source amplifier, and mostly determined by the gate biasing resistor network.

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13.3 MOSFET Common Drain Followers

Output Impedance

The output impedance is found by looking into the source terminal and is determined by the parallel combination of the source resistor and the internal source impedance. A higher transconductance (gₘ) results in lower output impedance and a gain closer to unity.

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13.3 MOSFET Common Drain Followers

Output Impedance

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13.4 MOSFET Common Gate Amplifiers

The analysis for common gate amplifiers mirrors that of JFETs. However, biasing methods that ground the source (like zero bias or voltage divider bias for DE-MOSFETs, and divider/drain feedback bias for E-MOSFETs) are not usable, as they short the input signal.

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13.4 MOSFET Common Gate Amplifiers

  • Typically, self bias and combination biasing are used with DE-MOSFETs for this configuration.
  • The relevant AC analysis equations are the same as those for JFET-based common gate amplifiers.

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Summary

  • Both DE-MOSFETs and E-MOSFETs can be used to build common source amplifiers and common drain followers.
  • Common source amplifiers can be swamped or non-swamped based on whether a source resistor is used. Zero bias and voltage divider bias do not support swamping.
  • These amplifiers provide:
    • Moderate inverting voltage gain
    • Very high input impedance
    • Moderate output impedance
  • Common drain followers:
    • Have a non-inverting gain close to 1
    • Show very high input impedance
    • Have low output impedance
    • Perform best when transconductance is high, enhancing gain and reducing output impedance.

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Review Questions

  • How well does the MOSFET voltage amplifier compare to its JFET counterpart?
  • How well does the MOSFET source follower compare to its JFET counterpart?
  • What are the practical differences between a voltage amplifier using a DE-MOSFET versus using an E-MOSFET?
  • It has been stated that a source follower cannot be made using a standard zero biased DE-MOSFET. Why is this?
  • It has been stated that a swamped voltage amplifier cannot be made using a standard voltage divider biased E-MOSFET. Why is this?

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Thanks!

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