GATE EE : Electromagnetic fields Champion Quiz 5 for ESE & GATE EE Exams

Question 1

A circular turns of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The value of μ₀ is 4π × 10^-7 in SI unit. If a uniform magnetic field intensity

A/m is applied, then the peak value of the induced voltage, V_turn (in Volts), is ________

Question 2

A two machine power system is shown below. Transmission line XY has positive sequence impedance of Z₁Ω and zero sequence impedance of Z₀Ω.

An ‘a’ phase to ground fault with zero fault impedance occur at the centre of the transmission line. Bus voltage at X and line current from X to F for the phase ‘a’, are given by V_a volts and I_a Amperes, respectively. Then, the impedance measured by the ground distance relay located at the terminal X of line XY will be given by

Question 3

Given two coupled inductors L₁ and L₂, their mutual inductance M satisfies

Question 4

Identify the correct statement about nature of inductor current at points X and Y, when voltage at point X is greater than voltage at point Y?

Question 5

The self-inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, and sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistance of both windings can be neglected. In this condition, what is the effective inductance (in mH) seen by the source?

Question 6

What will be the expression of reluctance in circular magnetic circuit of length as 2πr with N number of turns, having cross sectional area A, when magnetic flux is flowing around it?

Question 7

The hysteresis loop of a magnetic material has an area of 5 cm² with the scales given as 1 cm = 2 AT and 1 cm = 50 mWb. At 50 Hz, the total hysteresis loss is

Question 8

A lossless transmission line having Surge Impedance Loading (SIL) of 2280 MW is provided with a uniformly distributed series capacitive compensation of 30%. Then, SIL of the compensated transmission line will be

Question 9

Voltage phasors at the two terminals of a transmission line of length 70 km have a magnitude of 1.0 per unit but are 180 degrees out of phase. Assuming that the maximum load current in the line is 1/5^th of minimum 3-phase fault current, which one of the following transmission line protection schemes will NOT pick up for this condition?

Question 10

If an ac voltage wave is corrupted with an arbitrary number of harmonics, then the overall voltage waveform differs from its fundamental frequency component in terms of