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GATE 2019: Topper Quiz 8 (App update required to attempt this test)

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Question 1

In a series RLC resonant circuit, if supply voltage, voltage across L and voltage across C are equal, then circuit is in

Question 2

Let

and

where _* denotes convolution, then the value of

Question 3

Root locus of 2s(s+4)+k(s+8) is a circle. The co-ordinates of the centre of the circle?

Question 4

Find the value of w, z, y for

= (Y 0 1 0 1 1 0 0 1)?

Question 5

Find voltage gain (V_o/V_in) for the amplifier given

Question 6

The voltage (v_s) across and the current (I_s) through a semiconductor switch during a turn-ON transition are shown in figure. The energy dissipated during the turn—ON transition, in mJ, is

Question 7

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 8

In a 3-phase line operating at 50 Hz, the conductors, each of diameter 0.96 cm, are arranged as given below.

Determine the inductance of the line.

Question 9

A power system is comprised of three elements 0 – 1, 1 – 2, and 2 – 0 of equal pu impedances of 0.25. Determine the bus impedance matrix of the network.

Question 10

A 240 V DC shunt motor drawing current of 12 A and supplying the rated load at a speed of 100 rad/sec. the armature resistance is 0.4 Ω and the field winding resistance is 120 Ω. External resistance to be added in series with the armature winding to limit the armature current to 150% of rated value during breaking, Find the value of external Resistance in Ohm.

Question 11

An iron ring of mean length 50 cm has an air gap of 1 mm and a winding of 200 turns. If the permeability of the iron is 300 when a current of 1 A flows through the coil, find the flux density
in Wb/m².

Question 12

The given commutation circuit has C = 15 Mf and L = 4 MF. the initial voltage across capacitor = 230 V for a constant load current 325 A. The time required to turn off the main thyristor after the auxiliary thyristor is switched on is

Question 13

A 1000kVA, 6.6kV, 3-phase star connected synchronous generator has a synchronous reactance of 25Ω per phase. It supplies full load current at 0.8 pf lag at rated terminal voltage. The terminal voltage (line) for full load current at 0.8 pf lead is ………………kV.

Question 14

An LPF wattmeter of power factor 0.2 is having three voltage settings 300 V, 150 V and 75 V, and two current settings 5 A and 10 A. The full scale reading is 150. If the wattmeter is used with 150 V voltage setting and 10 A current setting, the multiplying factor of the wattmeter is _________.

Question 15

Consider points P and Q in the x-y plane, with

and

the line integral

along with the semicircle with the line segment PQ as its diameter is ________.

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ESE & GATE EE General

Sep 10ESE & GATE EE