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GATE EC 2020: Revision test Quiz 5 (App update required to attempt this test)

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Question 1

A signal x(t) is given as

then the time period of the signal x (t) is given us

Question 2

The voltage gain of an amplifier is 100. A negative feedback is applied with β=0.04. The overall gain of the amplifier is:

Question 3

The forward-path transfer function of a unity feedback system is

For system to be stable, the range of K is

Question 4

The logic function implemented by the circuit given below is

Question 5

A unity feedback control system has forward path transfer function as

The rise time will be ____ sec.

Question 6

Consider a system with impulse response given as

. Find the eigen value of the system associated with the eigen function given as

Question 7

Consider the circuit given below,

‘’ is the current through the load resistance ‘’. The circuit is described by the equation given as

‘’

Then, the sum of numerical values of 'a' and 'b' is given by_______.

Question 8

The Voltage appearing in the secondary coil of transformer in the rectifier circuit shown in figure is

. Each diode has a cut in voltage of V_γ=0.7 V. The ripple voltage is to be no more than V_rip=1 V. The value of filter capacitor(in μF) will be

Question 9

Consider the following continuous time signal x(t)

If C_k is the complex Fourier series coefficient of signal x(t). Then the value of |C₂| will be

Question 10

A shunt regulator utilizes a zener diode whose voltage is 5.1 V at a current of 50 mA and whose incremental resistance is 7. The diode is fed from a supply of 15V nominal voltage through a 200Ω resistor. What is the output voltage(in Volts) at no load?

Question 11

Find the maximum depletion width region for ideal MOS capacitor on p-type silicon with Na =

.given relative dielectric constant of silicon is 11.8

Question 12

The circuit shown in the figure below is in steady state when switch is closed at t=0, then the value of

(i_L) at t=0⁺ is…….. (in A/sec)

Question 13

A unity feedback control system requires 0.52 seconds to reach its peak value while subjected to the step input. If the settling time of the response for 2% tolerance band is 1.05 seconds. The resonant frequency of the system will be _______ rad/sec.

Question 14

4 point DFT of real discrete time signal x(n) of length 4 is X(k). If X[0] = 5, X[1] = 1+j, X[2] = 0.Then x(0) is

Question 15

A state diagram of the finite state machine is described in figure below.

The total number of distinct states in the state machine are __________.

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ESE & GATE EC General

Feb 7ESE & GATE EC