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GATE 2021 : Toppers Quiz 26 (App update required to attempt this test)

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Question 1

In a Zener diode the voltage and current characteristics are shown as below

What is the Zener resistance _____Ω

(Upto one decimal)

Question 2

The Phase margin of a unity negative feedback system with is

Question 3

Find the frequency of output (in KHz):


Question 4

Consider voltage regulation VR and power factor curve for 2300/230V 1-phase transformer having 0.05 pu resistance and 0.5 pu reactance.

At point (A) power factor is _____



Question 5

Calculate the most economic size (radius in mm) of a single core cable working on 132 kV, 3–Φ phase, if dielectric stress of 10 kV/mm can be allowed.

Question 6

A single phase dual converter is operated from 120 V, 60 Hz supply and the load resistance is R = 10 Ω. The circulating inductance is L = 40 mH having the delay angles are α1 = 60° and α2 = 120°. Calculate the peak circulating current (in A).

Question 7

A single-phase 2-wire line consists of two conductors of radius 1.5 cm and 2.2 cm. The distance between their centres is 1 m. Determine the total inductance of the system [mH/km].

Question 8

A PMMC instrument is used to measure voltage across a load whose waveform is shown in the figure below, then the reading of the instrument is __________V.

Question 9

The equivalent inductance of the arrangement shown below is?

If L1 = 2H, L2 = 4H and M = 1 H

Question 10

A DC shunt motor with a terminal voltage of 440 V, armature resistance of 1.5 Ω is drawing 25 A from supply and its field current is 5 A at speed of 200 rad/sec. The torque developed by the motor when drawing 15 A from the supply with the same field current is

Question 11

For the diode circuit shown, V (on) =0.7 V. The value of V x (in volts) is ____________ V

Question 12Multiple Correct Options

Consider a 50 Hz alternator and following parameters as:

Poles = 6

Slots = 42 with two-layer winding

Flux/pole = 0.012 Wb

Each full pitch coil turns = 8

Then choose the correct option(s)

Question 13

The closed loop system is having an open Loop transfer function G(s) for complex roots, the root locus diagram is circle. The radius of the circle is _______ (up to two decimals)

Question 14

Find the output of the given digital circuit:

Question 15

In a three-dimensional space, divided into region 1 (X < 0) and region 2 (X > 0) region 1 have  and region 2 have . The electric field in the region 1 is given by
. The magnitude of electric field in region 2 ___________ in (V/m). (Assume that the interspace is charge free)

Question 16Multiple Correct Options

Consider the following network:

Which of following statements are correct ?

Question 17

The complex number 7(1 + i) can be represented in polar form as

Question 18

Two buses i and j are connected with a transmission line of admittance = Y, at the two ends of which there are ideal transformers with turns ratios as shown. Bus admittance matrix for the system is

Question 19

The impedance parameter Z21 in the given two part network is _____

Question 20

In a single-phase full bridge diodes rectifier, the diodes have a recovery time of 25 μsec. What is the percentage reduction in average output voltage if the supply is 220V, 5000 Hz?

Question 21

Consider the system shown below:

If the applied input is (3 – t + 2t2) v(t), then the steady state error will be

Question 22

An amplifier has a mid-frequency gain A0 = 100, an upper cut-off frequency fH = 40 kHz, and a lower cut-off frequency fL = 20 Hz. For a feedback transfer ratio β= 0.1, find the upper cut-off frequency with negative feedback.

Question 23

Consider impedances for main & auxiliary windings at starting for 500W, 230V, 50Hz capacitor start 1-phase induction motor.

Zmain = (4 + j 2.5) ohm

Zaux = (10 + j 2.4) ohm

Consider 180 μF capacitor added in auxiliary winding the phase angle b/w main & auxiliary winding in degree is___.

Question 24

If P(A B) = 0.17, P(A′ B) =0.32, P(A  B′) = 0.18, find P(A).

Question 25

The base of the number system for the addition operation 24 + 14 = 41 to be true is
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Oct 26ESE & GATE EE