GATE ECE discipline:electrical-electronics-and-instrumentation PYQs & Answers — Page 57

Questions 561–570 of 715. Imported answers require independent review unless marked reviewed.

A four-variable Boolean function is realized using 4×1 multiplexers as shown in the figure.

Diagram for Electronics and Communication Engineering question 31

The minimized expression for F(U,V,W,X) is

Your answerChoose one option.

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A 2 × 2 ROM array is built with the help of diodes as shown in the circuit below. Here W0 and W1 are signals that select the word lines and B0 and B1 are signals that are output of the sense amps based on the stored data corresponding to the bit lines during the read operation.

Diagram for Electronics and Communication Engineering question 32

During the read operation, the selected word line goes high and the other word line is in a high impedance state. As per the implementation shown in the circuit diagram above, what are the bits corresponding to

(where i = 0 or 1 and j = 0 or 1) stored in the ROM?

Your answerChoose one option.

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The distance (in meters) a wave has to propagate in a medium having a skin depth of 0.1 m so that the amplitude of the wave attenuates by 20 dB, is

Your answerChoose one option.

0.12

0.23

0.46

2.3

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A curve passes through the point (x = 1, y = 0) and satisfies the differential equation

The equation that describes the curve is

Your answerChoose one option.

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For the circuit given in the figure, the voltage

(in volts) across the capacitor is

Diagram for Electronics and Communication Engineering question 35

Your answerChoose one option.

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For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5 second after closing the switch is ______.

Diagram for Electronics and Communication Engineering question 36

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A dc current of

flows through the circuit shown. The diode in the circuit is forward biased and it has an ideality factor of one. At the quiescent point, the diode has a junction capacitance of 0.5 nF. Its neutral region resistances can be neglected. Assume that the room temperature thermal equivalent voltage is 26 mV.

Diagram for Electronics and Communication Engineering question 37

For

, the amplitude of the small-signal component of diode current (in

A, correct to one decimal place) is ______.

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An op-amp based circuit is implemented as shown below.

Diagram for Electronics and Communication Engineering question 38

In the above circuit, assume the op-amp to be ideal. The voltage (in volts, correct to one decimal place) at node A, connected to the negative input of the op-amp as indicated in the figure is ______.

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The input

is fed to a Hilbert transformer to obtain

, as shown in the figure below:

Diagram for Electronics and Communication Engineering question 39

Here

. The value (accurate to two decimal places) of

is ______.

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A random variable

takes values

and

with probabilities

and

, respectively. The noisy observation of

, where

has uniform probability density over the interval

and

are independent. If the MAP rule based detector outputs

then the value of

(accurate to two decimal places) is ______.

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GATE ECE discipline:electrical-electronics-and-instrumentation PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40