GATE ECE exam:gate PYQs & Answers — Page 54

Questions 531–540 of 715. Imported answers require independent review unless marked reviewed.

Two identical MOS transistors M₁ and M₂ are connected as shown below. The circuit is used as an amplifier with the input connected between G and S terminals and the output taken between D and S terminals. V_bias and V_D are so adjusted that both transistors are in saturation. The transconductance of this combination is defined as

while the output resistance is

, where i_D is the current flowing into the drain of M₂. Let g_m₁, g_m₂ be the transconductances and r_o₁, r_o₂ be the output resistances of transistors M₁ and M₂, respectively.

Diagram for Electronics and Communication Engineering question 1

Which of the following statements about estimates for g_m and r_o is correct?

Your answerChoose one option.

and

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In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is 2.5 volts. At the input, unit step voltage is applied, i.e.

volts. Also, at t = 0, the voltage across each of the capacitors is zero.

Diagram for Electronics and Communication Engineering question 2

The time t, in milliseconds, at which the output voltage v_OUT crosses −10 V is

Your answerChoose one option.

2.5

7.5

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A good transimpedance amplifier has

Your answerChoose one option.

low input impedance and high output impedance.

high input impedance and high output impedance.

high input impedance and low output impedance.

low input impedance and low output impedance.

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Let the input be

and the output be

of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:

Your answerChoose one option.

(with initial rest conditions)

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The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:

Your answerChoose one option.

Both the criteria provide information relative to the stable gain range of the system.

The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.

The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.

The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.

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Consider p(s) = s³ + a₂s² + a₁s + a₀ with all real coefficients. It is known that its derivative p′(s) has no real roots. The number of real roots of p(s) is

Your answerChoose one option.

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In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE?

Your answerChoose one option.

The hole and electron diffusion current components are in the same direction.

The hole and electron drift current components are in the same direction.

On an average, holes and electrons drift in opposite direction.

On an average, electrons drift and diffuse in the same direction.

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The logic function

realized by the given circuit is

Diagram for Electronics and Communication Engineering question 8

Your answerChoose one option.

NOR

AND

NAND

XOR

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A function

defined by three Boolean variables A, B and C when expressed as sum of products is given by

, where,

, and

are the complements of the respective variables. The product of sums (POS) form of the function F is

Your answerChoose one option.

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The points P, Q, and R shown on the Smith chart (normalized impedance chart) in the following figure represent:

Diagram for Electronics and Communication Engineering question 10

Your answerChoose one option.

P: Open Circuit, Q: Short Circuit, R: Matched Load

P: Open Circuit, Q: Matched Load, R: Short Circuit

P: Short Circuit, Q: Matched Load, R: Open Circuit

P: Short Circuit, Q: Open Circuit, R: Matched Load

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GATE ECE exam:gate PYQs

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10