Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2020 Questions with Answer
Ques 1 GATE 2020
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage Vi is a sine wave of amplitude 1 V, the output voltage Vo is
Ques 2 GATE 2020
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal.
The magnitude of the steady-state output V₀ (rounded off to two decimal places) is _______ V.
Ques 3 GATE 2020
In the circuit shown below, all the components are ideal. If Vi is +2 V, the current I₀ sourced by the op-amp is _______ mA.
Ques 4 GATE 2020
For the BJT in the amplifier shown below, VBE=0.7 V, kT/q=26 mV. Assume that BJT output resistance (ro) is very high and the base current is negligible. The capacitors are also assumed to be short circuited at signal frequencies. The input vi is direct coupled. The low frequency voltage gain vo/vi of the amplifier is
Ques 5 GATE 2020
An enhancement MOSFET of threshold voltage 3 V is being used in the sample and hold circuit given below. Assume that the substrate of the MOS device is connected to -10 V. If the input voltage V_I lies between ±10 V, the minimum and the maximum values of VG required for proper sampling and holding respectively, are
Ques 6 GATE 2020
Using the incremental low frequency small-signal model of the MOS device, the Norton equivalent resistance of the following circuit is
Ques 7 GATE 2020
The components in the circuit given below are ideal. If R=2Ω and C=1µF, the -3 dB cut-off frequency of the circuit in Hz is
Ques 8 GATE 2020
In the voltage regulator shown below, VI is the unregulated input at 15 V. Assume VBE=0.7 V and the base current is negligible for both the BJTs. If the regulated output V₀ is 9 V, the value of R₂ is _______ Ω.
Ques 9 GATE 2020
A digital communication system transmits a block of N bits. The probability of error in decoding a bit is α. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of its bits is decoded wrongly. The probability that the received block is erroneous is
Ques 10 GATE 2020
A binary random variable X takes the value +2 or -2. The probability P(X=+2)=α. The value of α (rounded off to one decimal place), for which the entropy of X is maximum, is
Ques 11 GATE 2020
The random variable
Ques 12 GATE 2020
The two sides of a fair coin are labelled as 0 and 1. The coin is tossed two times independently. Let M and N denote the labels corresponding to the outcomes of those tosses. For a random variable X, defined as X=min(M,N), the expected value E(X) (rounded off to two decimal places) is
Ques 13 GATE 2020
For the modulated signal x(t)=m(t)cos(2πfct), the message signal m(t)=4cos(1000πt) and the carrier frequency fc is 1 MHz. The signal x(t) is passed through a demodulator, as shown in the figure below. The output y(t) of the demodulator is
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