Electrical Engineering GATE 2022 Questions with Answer

Ques 27 Control Systems

The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as ζ and ω_n, respectively. The values of ζ and ω_n are

Ques 28 Digital Electronics

A MOD 2 and a MOD 5 up-counter when cascaded together results in a MOD ________ counter. (in integer)

Ques 29 Digital Electronics

The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of 20 ns, is ________. (round off to one decimal place)

Ques 30 Electrical Machines

The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is

Ques 31 Electrical Machines

The frequencies of the stator and rotor currents flowing in a three-phase 8-pole induction motor are 40 Hz and 1 Hz, respectively. The motor speed, in rpm, is ________. (round off to nearest integer)

Ques 32 Electrical Machines

A 280 V, separately excited DC motor with armature resistance of 1Ω and constant field excitation drives a load. The load torque is proportional to the speed. The motor draws a current of 30 A when running at a speed of 1000 rpm. Neglect frictional losses in the motor. The speed, in rpm, at which the motor will run, if an additional resistance of value 10Ω is connected in series with the armature, is ________. (round off to nearest integer)

Ques 33 Electrical Machines

A 4-pole induction motor with inertia of 0.1 kg-m² drives a constant load torque of 2 Nm. The speed of the motor is increased linearly from 1000 rpm to 1500 rpm in 4 seconds as shown in the figure below. Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ________. (round off to nearest integer)

Ques 34 Electrical Machines

A star-connected 3-phase, 400 V, 50 kVA, 50 Hz synchronous motor has a synchronous reactance of 1 ohm per phase with negligible armature resistance. The shaft load on the motor is 10 kW while the power factor is 0.8 leading. The loss in the motor is 2 kW. The magnitude of the per phase excitation emf of the motor, in volts, is ________. (round off to nearest integer).

Ques 35 Electrical Machines

A 3-phase, 415 V, 4-pole, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to 2 times of the rated current using a 3-phase autotransformer. If the magnetizing impedance of the induction motor and no load current of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________. (round off to two decimal places).

Ques 36 Electrical Measurements

A balanced Wheatstone bridge ABCD has the following arm resistances: R_AB=1 kΩ±2.1%; R_BC=100 Ω±0.5%; R_CD is an unknown resistance; R_DA=300 Ω±0.4%. The value of R_CD and its accuracy is

Ques 37 Electromagnetics

A long conducting cylinder having a radius 'b' is placed along the z axis. The current density is J = J_ar³ẑ for the region r < b where r is the distance in the radial direction. The magnetic field intensity (H) for the region inside the conductor (i.e. for r

Ques 38 Electromagnetics

If the magnetic field intensity (H) in a conducting region is given by the expression, H = x²î + x²y²ĵ + x²y²z²k̂ A/m. The magnitude of the current density, in A/m², at x=1m, y=2m, and z=1m, is

Ques 39 Electromagnetics

As shown in the figure below, two concentric conducting spherical shells, centered at r=0 and having radii r=c and r=d are maintained at potentials such that the potential V(r) at r=c is V₁ and V(r) at r=d is V₂. Assume that V(r) depends only on r, where r is the radial distance. The expression for V(r) in the region between r=c and r=d is