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GATE EE: 2018 Mini Mock 1

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Question 1

A 2 k VA, 250/25 V single phase transformer has equivalent impedance of Z_EH = 2.6+j4.3Ω.If the above transformer has an exciting current of 4A on the HV side what will be its per unit value when referred to LV side –

Question 2

Find the voltage

in the given network.

Question 3

Find the total charge contained in an incremental square of a radius 1μm centred at P (3, 3, and 3)
If D = 2

pc/

in free space?

Question 4

If a control system of 2^nd order is subject to a unit step and the value of damping ratio (ξ) = 0.49 and natural frequency, ω_n= 7 rad/sec, then what will be the delay time (t_d) and setting time (t_s) respectively.

Question 5

A SCR is rated 1kV, 100A. How many SCR’s in series need to be connected for a circuit of 11kV, 100A, if the derating factor is 20%?

Question 6

As shown, two Silicon (Si) abrupt p-n junction diodes are fabricated with uniform donor doping concentration of N _D1=10¹⁴ cm⁻³ and N_D2=10¹⁶cm^-³ in the n-regions of the diodes, and uniform acceptor doping concentration of N _A1=10¹⁴ cm⁻³ and N_A2=10¹⁶cm^-³ in the p- regions of the diodes, respectively. Assuming that the reverse bias voltage is >> built-in potentials of the diodes, the ratio C ₂ C₁ of their reverse bias capacitances for the same applied reverse bias, is _______.

Question 7

Consider the circuit given below

The circuit was in rest with switch k is opened. At t = 0, the switch is closed. The current I_c(t) is

Question 8

The electric field vector of a uniform plane wave propagating in a nonmagnetic and lossless medium is given by

The relative permittivity of the medium is ______.

Question 9

What is the percentage (%) of the alternator winding is protected if The neutral of 10 MVA, 11 kV alternator is earthed through a resistance of 5 ohms. The fault ready is set to operate at 0.75 A. The current transformers have a ratio of 1000/5 is given?

Question 10

A 4 – pole Induction motor, supplied by unbalanced 3 – phase 50hz source, is rotating at 1425 rpm. The electrical frequency in Hz of the induced negative sequence current in the rotor is –

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Sep 21ESE & GATE EE