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Field Effect Transistors Questions and Answers

Answer: A

Integrated clamp diodes to the rails divert any excess charge before the oxide is stressed, and most MOSFETs are supplied with them built in. A series resistor limits the current after breakdown has begun rather than preventing it, and neither a capacitor nor a bead limits the voltage. Protecting against an overvoltage means providing a path at a safe voltage, which is what a clamp does and what the alternatives do not.

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Answer: B

An enhancement device has no channel at zero gate voltage; the gate must exceed a threshold to induce one, which makes it a natural switch and the basis of all digital logic. A conducting channel at zero gate voltage describes a depletion device. Negative gate bias and falling current describe a p-channel or depletion device. Whether a device is normally on or normally off decides both its bias arrangement and the applications it suits.

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Answer: C

The transfer characteristic shows drain current against gate voltage, and for a junction device it is the square-law curve from the pinch-off voltage up to the saturation current. Drain current against drain voltage is the output family. Gate current is essentially zero, so plotting it would be pointless. Two characteristics describing one device, one relating output to input and one relating output to output, is the same arrangement as for a bipolar transistor.

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Answer: D

The relation is a square law: the current falls as the square of one minus the ratio of gate voltage to pinch-off voltage. The exponential law belongs to bipolar devices and is why their transconductance is so much larger. Neither linear nor logarithmic describes it. That one family is exponential and the other square-law accounts for nearly every performance difference between them.

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45.

A device has \( I_{DSS} = 10 \ \mathrm{mA} \) and \( V_{P} = -4 \ \mathrm{V} \). At \( V_{GS} = -2 \ \mathrm{V} \) the drain current is

Answer: A

Applying the square law:

\[ \begin{aligned} I_{D} &= 10 \left(1 - \tfrac{-2}{-4}\right)^{2} \\ &= 10 (0.5)^{2} = 2.5 \ \mathrm{mA} \end{aligned} \]

giving 2.5 mA. Five milliamps would follow from a linear law, which is the commonest error: halfway to pinch-off gives a quarter of the current, not half. The squaring is what makes the relation between gate voltage and current so much gentler at the top of the range than at the bottom. The parameter that varies and the parameter that does not are worth naming before any substitution is attempted.

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46.

For that device to carry \( 5 \ \mathrm{mA} \), the gate voltage must be about

Answer: B

Rearranging the square law for the gate voltage:

\[ \begin{aligned} V_{GS} &= V_{P}\left(1 - \sqrt{\tfrac{5}{10}}\right) \\ &= -4(1-0.707) \approx -1.17 \ \mathrm{V} \end{aligned} \]

so about -1.17 volts. Halving the current needs only about a quarter of the way to pinch-off, which is the square law working in reverse. Taking the square root rather than halving is the step this calculation turns on.

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Answer: C

The threshold is the gate voltage at which an inversion layer appears and conduction begins, so it is the enhancement device's equivalent of the pinch-off voltage but with the opposite sense. Pinch-off describes where the channel closes at the drain end, saturation onset is a drain-voltage condition, and oxide breakdown is a destructive limit far higher up. Four voltages that all sound like turning points, and attaching each to its own mechanism is what keeps them apart.

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Answer: D

Transconductance is the slope of the transfer characteristic, in milliamps per volt or millisiemens, and it sets the voltage gain a given load resistor produces. Current per drain volt is the output conductance, gate charge is a switching parameter, and resistance per gate volt describes the ohmic region. Because it is a slope on the transfer curve, it depends on where on that curve the device is biased. Checking the units of each quantity catches a wrong formula before the arithmetic begins.

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Answer: A

An exponential characteristic is far steeper than a square-law one, so a bipolar device gives about forty millisiemens per milliamp while a field effect device gives a few. The absence of gate current is the reason for the high input impedance, not the low transconductance. Channel resistance and capacitance affect other things. One difference in the underlying law produces the family's central trade: enormous input impedance bought with much less gain per milliamp.

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50.

A device has \( I_{DSS} = 8 \ \mathrm{mA} \) and \( V_{P} = -4 \ \mathrm{V} \). Its transconductance at zero gate voltage is

Answer: B

The maximum transconductance follows from the square law's slope:

\[ \begin{aligned} g_{m0} &= \frac{2 I_{DSS}}{|V_{P}|} \\ &= \frac{16}{4} \\ &= 4 \ \mathrm{mS} \end{aligned} \]

giving 4 millisiemens, against the forty a bipolar device would give at eight milliamps. The factor of two in the numerator comes from differentiating the square, and omitting it is the usual slip here.

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