GATE 2019: Topper Quiz 20 (App update required to attempt this test) for ESE & GATE EE Exams

Question 1

The figure shows four electronic switches (i), (ii), (iii) and (iv). Which of the switches can block voltages of either polarity (applied between terminals 'a' and 'b') when the active device is in the OFF state?

Question 2

In the circuit shown below, Q₁ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If V_cc is +5V, X and Y are digital signals with 0 V as logic 0 and V_ïas logic 1, then the Boolean expression for Z is

Question 3

The decimal number of 0.246 in binary is

Question 4

Which of the following is the invalid BCD?

Question 5

AC resistance is more than dc resistance due to which of the following effect.
i. skin effect
ii. proximity effect
iii. ferrant effect

Question 6

A 100 MVA, 50 Hz generator feeding power through a double circuit transmission line with initial rotor angle 60 °. A 3 phase fault occurs at middle point of one of the lines. the internal voltage of the generator is 1.5 pu and equivalent transfer admittance during fault is 0.5 pu and the infinite bus voltage is 1.1 pu. The generator has an inertia constant of 4 MJ/MVA and it was delivering 1 pu power prior of the fault. The inertia constant in (MJ – sec/elect degree) is –

Question 7

Match the switch arrangements on the top row to the steady-state V-I characteristics on the lower row. The steady state operating points are shown by large black dots.

Question 8

A buck converter, as shown in figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows the inductor voltage V_L, during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is …………….

Question 9

No load test was conducted on a three phase induction motor at different input voltages and the input power obtained was plotted against the input voltage. The intersection of the extrapolated curve on the Y-axis, would give

Question 10

When will a slip ring induction motor run at super synchronous speed?

Question 11

A first order system is shown in below figure. The time response to a unit step input is

Question 12

The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and one zero is shown in the following figure. Its transfer functions is

Question 13

Find the even components of the signal x(t) =

Question 14

Determine the region of convergence for the given function:

Question 15

A potential function

volts is in free space the stored energy in free space in 2 m³ volume centered at origin is __________

joules

Question 16

A stationary 20 turn square coil of 1m side is situated with its lower left corner coincident with the origin and with sides x₁, y₁ along x and y-axis. If the field B is normal to plane of coil and has the amplitude

_o=

₁)sin(

₁)Tesla. The rms value of the emf induced in the coil, if B varies harmonically at a frequency of 1Khz, is….. (kV)

Question 17

The four arms of a bridge are
Arm ab; an imperfect capacitor c₁ with an equivalent series resistance of r₁
Arm bc; a non inductive resistance R₃
Arm cd; a non inductive resistance R₄
Arm da; an imperfect capacitor C₂ with an equivalent series resistance of r₂ series with a resistance R₂,
A supply of 450 Hz is given between terminal a and C and the detector is connected between b and d at balance.
R₂ = 4.8Ω, R₃ = 2000Ω, R₄ = 2850Ω and C₂ = 0.5μF and r₂ = 0.4Ω.
Then the value of C₁ and dissipating factor for this capacitor is