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GATE 2022 Rapid Revision Weekly Quiz 4

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Question 1

For the operational amplifier circuit shown in the figure below, what is the maximum possible value of R₁, if the voltage gain required is between –5 and –50?

Question 2

The maximum amplitude for a 1 kHz sinusoidal input for a DM system that prevents slope overload that has been sampled at 10 times the Nyquist rate with step size 0.117 V is

Question 3

A unity feedback (negative) system has open loop transfer function

If steady state unit ramp error is 0.1, then the value of peak over shoot is ______ %.

Question 4

The initial value of output (Q_n) of a J-K flip flop is 0 . If it changes to 1 after application of a clock pulse, then the inputs J_n+1 and K_n+1before application of the clock pulse are respectively.

Question 5Multiple Correct Options

The velocity of propagation on a certain loss-less transmission line is

. If

and the line is terminated by an impedance of 150Ω, then

Question 6

A waveform shown in the figure is applied to a resistor of 20Ω. The power dissipated in the resistor is

Question 7

The signal x(t) is shown in figure below

The trapezoidal pulse x(t) is applied to a differentiator, and output y(t) is given by y(t) = what will be the total energy of y(t)?

Question 8Multiple Correct Options

An EM wave in a lossy medium is given by its electric field as

, whose

. Then for this wave

Question 9

A bit unipolar ADC with reference of 5 volt and 44 μsec conversion time will be used to collect data on time constant measurement.

The input will be of the form

V(t) =

What is the minimum value of T for which reliable data samples can be taken if no S/H circuit is used.

Question 10

The open-loop transfer function of a system with unity negative feedback is given by,

If a part of root locus diagram (for K>0) of this system lies on a circle, then the radius of the circle will be ______ .

Question 11

A frequency modulated signal is obtained using carrier signal as c(t) and message signal as m(t). If the transmission bandwidth of an amplitude modulated signal is BW then the

of the final obtained FM signal is (3 X BW), then the coefficient of the term

in FM signal is

and

Question 12

For the circuit given below, The output voltage V₀ is _______ V

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ESE & GATE EC General

Nov 20ESE & GATE EC