Electrical Engineering GATE 2025 Questions with Answer

Ques 53 Power Electronics

The input voltage v(t) and current i(t) of a converter are given by,
v(t)=300 sin(ωt)V
i(t)=10 sin(ωt-π/6)+2 sin(3ωt+π/6)+sin(5ωt+π/2)A
where, ω=2π×50 rad/s. The input power factor of the converter is closest to

Ques 54 Power Electronics

In the circuit with ideal devices, the power MOSFET is operated with a duty cycle of 0.4 in a switching cycle with I=10 A and V=15 V. The power delivered by the current source, in W, is ______ (round off to the nearest integer).

Ques 55 Power Systems

In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at F very close to circuit breaker 1. The circuit breakers open to isolate the line. The fault self-clears. The circuit breakers reclose and restore the line. Which one of the following diagrams best indicates the rotor accelerating and decelerating areas?

Ques 56 Power Systems

In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a 2 Ω resistor, three voltmeters are connected as shown in the figure below. The voltmeter readings are as follows: V_Source=200 V, V_R=9 V, V_Load=199 V. Assuming perfect resistors and ideal voltmeters, the Load-active power measured in this experiment, in W, is ______ (round off to one decimal place).

Ques 57 Power Systems

Using shunt capacitors, the power factor of a 3-phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be corrected to 0.85 pf lag. The line current of the capacitor bank, in A, is ______ (round off to one decimal place).

Ques 58 Power Systems

Two units rated at 100 MW and 150 MW are enabled for economic load dispatch. When the overall incremental cost is 10,000 Rs./MWh, the units are dispatched to 50 MW and 80 MW respectively. At an overall incremental cost of 10,600 Rs./MWh, the power output of the units are 80 MW and 92 MW, respectively. The total plant MW-output (without overloading any unit) at an overall incremental cost of 11,800 Rs./MWh is ______ (round off to the nearest integer).

Ques 59 Power Systems

In a power system, following a sudden increase in load, the frequency will settle at a lower steady-state value if

Ques 60 Power Systems

A device (single-phase, 50 Hz, AC) yields the following measurements at its terminals: voltage =141.4∠-10°V, current =0.7∠-55° A. The power factor of the device is ______ (round off to three decimal places).

Ques 61 Power Systems

Consider the two statements given below, and select the correct option.
Statement 1: A directional relay relies on the principle that the CT currents due to fault location on either side of the CT, always differ from each other by a phase of 90°.
Statement 2: Directional relays are generally deployed in distribution feeders, with their direction towards the source/substation.

Ques 62 Power Systems

During a power failure, a domestic household uninterruptible power supply (UPS) supplies AC power to a limited number of lights and fans in various rooms. As per a Newton-Raphson load-flow formulation, the UPS would be represented as a

Ques 63 Power Systems

Instrument(s) required to synchronize an alternator to the grid is/are

Ques 64 Power Systems

Consider a distribution feeder, with R/X ratio of 5. At the receiving end, a 350 kVA load is connected. The maximum voltage drop will occur from the sending end to the receiving end, when the power factor of the load is ______ (round off to three decimal places).

Ques 65 Power Systems

The bus impedance matrix of a 3-bus system (in pu) is