GATE 2019: Topper Quiz 24 (App update required to attempt this test) for ESE & GATE EE Exams

Question 1

The OP-AMP circuit shown below, what is the value of ‘R’ if I_L/I_I = 40

Question 2

Calculate V₀ for the following circuit, assume V_{BE active} = 0.7 V

Question 3

Find the transfer function

relating displacements y and x for the mechanical system of given figure.

Question 4

The state variable of a system is given by the following equation

If the given system is said to be uncontrollable, the value of "a+10" would be

Question 5

Which of the following logic circuits is a realization of the function F whose Karnaugh map is shown in figure?

Question 6

A 2-bit flash Analog to Digital Converter (ADC) is given below. The input is 0≤V_IN ≤ 3Volts. The expression for the LSB of the output B_oas a Boolean function ofX₂, X₁, and X_o is

Question 7

A 3-ϕ, 12 poles, Y connected alternator has 180 slots with 10 conductors per slot and conductors of each phase are connected in series. The coil span is 144 ° (electrical) and flux per pole is 60 m Wb. If the machine runs at 750 rpm, the phase voltage is _________ kV.

Question 8

A 6 KVA, 400/800, 50Hz 1-phase transformer gave the following test data

OC test (LV side): 400V, 0.9A, 70W

SC test (HV side): 44V, 20A, 140W

If the transformer operates on full load 0.9pf lag, then maximum efficiency is……. at unity power factor.

Question 9

Find directional derivative Φ =

at (1, -1, and 2)

Question 10

A parallel plate capacitor has two plates of area 0.08 m² each, separated by a distance of 0.01 m and surrounded by a dielectric of

. If a charge of magnitude 25 µC is placed on each plate, then determine the energy stored in the capacitor.

Question 11

Determine the sensitivity of the dc voltmeter with voltage range 0 – 50 V. The internal resistance of meter is 100 Ω and the multiplier resistance is 900 Ω.

Question 12

An unknown inductance resonates at a frequency of 2 MHz with an external capacitance of 210 pF and has a Q of 100. If the frequency of the source is doubled, it is found that the tuning capacitor required for resonance is 45 pF. Determine the value of the unknown inductance in the equivalent circuit.

Question 13

Obtain the y-parameters for the network shown below

Question 14

In the circuit given below, I₁ = 7 A. The minimum value of stored energy is

Question 15

In the circuit shown below,

If load

switching frequency is 25 kHz and peak to peak ripple current of inductor is limited to 0.8 A then the filter inductance L is

Question 16

A d.c. series motor chopper drive has the following parameters: battery voltage = 72 V, (R_a + R_O = 0.3Ω), K_v = 5mV/A-rad/s, chopper frequency = 100Hz. Calculate the torque with an average armature current of 25A and a chopper on-time of 3ms.

Question 17

A synchronous generator of reactance 1.20 pu is connected to an infinite bus bar

through transformer and a line of total reactance of 0.60 pu. The generator no load voltage is 1.20 pu and its inertia constant is H = 4 MW-s/MVA. The resistance and machine damping may be assumed negligible. The system frequency is 50 Hz. The frequency of natural oscillations if the generator is loaded to 50% of its maximum power limit is _______ Hz.

Question 18

A single phase motor connected to 400 V, 50 Hz supply takes 31.7 A at a power factor of 0.7 lagging. The capacitance required in parallel with the motor to raise the power factor to 0.9 lagging is _______ μF.

Question 19

If

then the value of

Question 20

Let the transfer function of a stable discrete time system be

The pole zero diagram of

is shown in the figure below.

Assume that system is causal and stable, then which of the following statements can be true.