GATE EE 2025 PYQ

In the circuit, is an ideal current source. The transistors and are assumed to be biased in saturation, wherein is the input signal and is fixed DC voltage. Both transistors have a small signal resist

Which one of the following statement is true about the small signal voltage gain of a MOSFET based single stage amplifier?

The op-amps in the following circuit are ideal. The voltage gain of the circuit is ___________ (round off to the nearest integer).

Assuming ideal op-amps, the circuit represents a

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value , will behav

The open-loop transfer function of the system shown in the figure, is For , which of the following real axis point(s) is/are on the root locus?

A controller of the form is to be designed for the plant as shown in the figure. The value of that yields a phase margin of at the gain cross-over frequency of is ___________ (round off to one decimal

The Nyquist plot of a strictly stable having the numerator polynomial as encircles the critical point once in the anti-clockwise direction. Which one of the following statements on the closed-loop sys

Let . Then the closed-loop system shown in the figure below, is

Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the time-constant, in sec, of the system is

Consider the state-space model Where are the state, input and output, respectively. The matrices are given below The sum of the magnitudes of the poles is ________ (round off to nearest integer).

A Boolean function is given as The simplified form of this function is represented by

The maximum percentage error in the equivalent resistance of two parallel-connected resistors of and with each having a maximum error is __________ % (round off to nearest integer value).

In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage E for unit change in the resistance R , in , is ___________ (round off to two decimal places

In the circuit, shown below, if the values of R and C are very large, the form of the output voltage for a very high frequency square wave input, is best represented by

In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a resistor, three voltmeters are connected as shown in the figure below. The voltmeter re

The switch (S) closes at . The time, in sec, the capacitor takes to charge to 50 V is ___________ (round off to one decimal place).

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

The induced emf in a pole, 3-phase star connected synchronous motor is considered to be equal and in phase with the terminal voltage under no load condition. On application of a mechanical load, the i

The operating region of the developed torque and speed of an induction motor drive is given by the shaded region OQRE in the figure. The load torque characteristic is also shown. The motor drive moves

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 ______

A 3-phase, pole, 50 Hz star connected induction motor has the following parameters referred to the stator: Stator resistance, magnetizing reactance and core loss of the motor are neglected. The motor

A DC series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as cube of the speed. The motor is fed from a 400 V DC source and draws 4

An air filled cylindrical capacitor (capacitance ) of length , with and as its inner and outer radii, respectively, consists of two coaxial conducting surfaces. Its cross-sectional view is shown in Fi

Let be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of , the divergence of the radial vector field is independent of ?

Consider two coupled circuits, having selfinductances and , that carry non-zero currents and , respectively. The mutual inductance between the circuits is M with unity coupling coefficient. The stored

Which one of the following figures represents the radial electric field distribution caused by a spherical cloud of electrons with a volume charge density, for (both , a are positive and is the radial

In the circuit with ideal devices, the power MOSFET is operated with a duty cycle of 0.4 in a switching cycle with and . The power delivered by the current source, in , is ___________ (round off to th

In the following circuit, the average voltage Where is the firing angle. If the power dissipated in the resistor is 64 W , then the closest value of in degrees is

The input voltage and current of a converter are given by, Where, . The input power factor of the converter is closest to

An ideal sinusoidal voltage source feeds an ideal inductor L through an ideal SCR with firing angle . If , then the peak of the inductor current, in ampere, is closest to

The steady state capacitor current of a conventional DC-DC buck converter, working in CCM, is shown in one switching cycle. If the input voltage is 30 V , the value of the inductor used, in mH, is ___

The 3-phase modulating waveforms and , used in sinusoidal PWM in a Voltage Source Inverter (VSI) are Where is the fundamental frequency. The modulating waveforms are compared with a 10 kHz triangular

Consider a distribution feeder, with 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 facto

The transformer connection given in the figure is part of a balanced 3-phase circuit where the phase sequence is "abc". The primary to secondary turns ratio is 2:1. If , then the relationship between

The bus impedance matrix of a 3-bus system (in ) is A symmetrical fault (through a fault impedance of ) occurs at bus 2. Neglecting pre-fault loading conditions, the voltage at bus 1, during the fault

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

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 loadflow formulation,

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 ove

An ideal low pass filter has frequency response given by Let be its time domain representation. Then ___________ (round off to the nearest integer).

Let continuous-time signals and be Consider the convolution . Then is

Consider a discrete-time linear time-invariant (LTI) system S , where Let Where is the discrete-time unit impulse function. For an input signal , the output is

A continuous time periodic signal is . If is the period of , then _________ (round off to the nearest integer).

The continuous-time unit impulse signal is applied as an input to a continuous-time linear timeinvariant system . The output is observed to be the continuous-time unit step signal . Which one of the f

Consider a continuous-time signal Where is the continuous-time unit step function. Let be the continuous-time unit impulse function. The value of is