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GATE EC 2020: Semi Syllabus Quiz 1 (App update required to attempt this test)

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Question 1

Mark the correct extremes of the output of the given clamping network provided the V_i square wave input is given to the circuit

Question 2

Find the transfer function

Question 3

With switch opened at t=0, find i(t).

Question 4

The circuit diagram of a 555 timer is given below. The frequency of the output wave form is 5 kHz. Find the required value of R_A( in kΩ)

Question 5

A two stage amplifier using BJTs is realized using identical stages, where each stage has a lower cut-off (3 dB) frequency of 120 Hz due to coupling capacitor. Also the emitter bypass capacitor provides a lower cut-off (3 dB) due to emitter degeneration of 100 Hz. The lower (3 dB) cut-off frequency(in Hz) of the overall configuration is approximately,

Question 6

Consider the logic function as given below.

If, then the maximum number of possible minterms in function are _______.

Question 7

consider the following network

Then the expression for current i_c(t) is __________

Question 8

Consider an LTI system with input

and output as

. Find the group delay of the system at

Question 9

In the circuit shown in fig the op-amp is ideal. If β_F= 60, then the total current supplied by the 15 V source is

Question 10

In the given circuit, the voltage through the capacitor 1F is given by V(t). Then, plot

Question 11

What is the sum of numerical values of the minterms of the output of the combinational circuit given below? [For example, if

, then sum=1+3

Question 12

A unity feedback control system has an open loop transfer function.

The value of system gain K for which all the roots are equal is _______.

Question 13

A silicon crystal having a cross sectional area of 0.001 cm² and a length of 10^-3 cm is connected at its end to a 10V battery. At T=300 K, we want a current of 100mA in the silicon. The required conductivity of the silicon crystal is _______________.

Question 14

If the Nyquist rate for x(t) is

, what will be the Nyquist rate for x(3t) and x(t/3)?

Question 15

Shift register is initially loaded with bit pattern 1100 as shown in figure. Subsequently the shift register is clocked, and each clock pattern gets shifted by 1bit position to right. With each shift bit at the serial input is pushed to left most MSB. After how many clock pulses the output of shift register will again become 1100?

Question 16

In the circuit of figure determine the region of operation of MOSFET M₁ as V₁ goes from V_DD to zero. Assume V_DD = 2.5V and |V_T| = 0.5V

Question 17

A unity feedback control system is characterized by the open loop transfer function G(s) =

The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.

If 0 < K < 1, then number of poles of the closed loop transfer function that lie in the right half of the s-plane is

Question 18

A network N with impedance matrix

is followed by an ideal transformer with ratio 5 : 1 as shown in figure,

the overall Z parameter Z₂₂ is ______ (Ω).

Question 19

Let the input given to a discrete LTI system with impulse response h[n]= {1,-2,-3,4} is given by

. Let the output

is again processed to get

. Compute the value of

Question 20

For the voltage regulator circuit shown, the input voltage (V_in) is 20V ±20% and the regulated output voltage (V_out) is 10V. Assume the opamp to be ideal. For a load R_L drawing 200 mA, the maximum power dissipation in Q₁ (in Watts) is_______.

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