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GATE 2021 : Toppers Quiz 12 (App update required to attempt this test)

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Question 1

A BJT is operating in the cutoff region. Which of the following junction of the transistor is reverse-biased?

Question 2

Consider a system shown below which is excited with a unit step input. The steady state error will be ____

Question 3

The readings given below were obtained during the measurement of a low resistance using a potentiometer:
Voltage drop across a 0.3 Ω standard resistance = 1.0567 V
Voltage drop across the low resistance under test = 0.2305 V
Calculate the value of power loss in low resistance.

Question 4Multiple Correct Options

Choose the correct option(s):

Question 5Multiple Correct Options

For a network graph if number of nodes are 10 and number of branches are 19. So, which of the following statement is/are correct with respect to following graph?

Question 6

The input voltage (Vin) to the circuit shown in the figure is 8 cos(50t) V. The output voltage (Vout) is If R = 1 kΩ, The value of C is______.

Question 7

The damping ratio of the second order system which has the unit step response shown in figure is _____ (rounding upto two decimal value)

Question 8

A 20 KW, 400 V, DC shunt motor is driving a constant torque load with line current of 80 A at a speed of 1500 rpm. Motor has armature and field winding resistance as 0.2 Ω and 100 Ω respectively. If 60 Ω external resistance is added in field circuit, then the motor is running at ______ rpm. (Assuming linear magnetization curve)

Question 9

Two DC series generator A & B supply total load current of 400 A. Machine A has armature resistance of 0.3 Ω and series resistance of 0.4 Ω and machine B has armature resistance as 0.4 Ω and field resistance 0.3 Ω. If these two are connected through equalizer and generated emf in the both is 400 V. Then find the current in the equalizer ring.

Question 10

Find the Thevenin’s parameters (VTh & RTh) across ab terminal for the following circuit as shown in figure below:

Question 11

If then find the inverse Z-transform such that system is stable?

Question 12

Consider the circuit shown in figure below

Calculate the value of i(0+) = ?

Question 13

A 6.6 KV, 5MVA star connected alternator has a reactance of 1.5 Ω per phase and negligible resistance Merz –price protection scheme is used which operates when the out of Balance current 25% of the full load current. The neutral of the generator is grounded through a resistance of 8 Ω. The percentage of winding which remains unprotected against earth fault.

Question 14

In a sinusoidal pulse width modulation if the zero of carrier wave coincides with zero of reference wave then the expression for no. of pulses per half cycle is given by:

Question 15

Consider the circuit diagram as shown in figure below, at t = 0 switch ‘S’ is closed. Find the rms value of voltage across diode in steady state. (Consider capacitor is initially discharged).

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Dec 8ESE & GATE EE