GATE EE 2017 PYQ

For the circuit shown below, assume that the OPAMP is ideal. Which one of the following is TRUE?

The circuit shown in the figure uses matched transistors with a thermal voltage =25mV. The base currents of the transistors are negligible. The value of the resistance R in k that is required to provi

The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be

For the circuit shown in the figure below, it is given that . The transistor has and when the B-E junction is forward biased. For this circuit, the value of is

The transfer function of a system is given by Let the output of the system be for the input . Then the minimum and maximum values of (in radians) are respectively

The transfer function of the system Y(s)/U(s) whose state-space equations are given below is:

Which of the following systems has maximum peak overshoot due to a unit step input?

A closed loop system has the characteristic equation given by . For this system to be stable, which one of the following conditions should be satisfied?

The root locus of the feedback control system having the characteristic equation , enters into the real axis at

For a system having transfer function , a unit step input is applied at time t=0. The value of the response of the system at t=1.5 sec is __________.

The range of K for which all the roots of the equation are in the left half of the complex s-plane is

In the system whose signal flow graph is shown in the figure, and are inputs. The transfer function is

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be is _______.

Let a causal LTI system be characterized by the following differential equation, with initial rest condition Where x(t) and y(t) are the input and output respectively. The impulse response of the syst

Consider the system described by the following state space representation If u(t) is a unit step input and , the value of output y(t) at t = 1 sec (rounded off to three decimal places) is_________

When a unit ramp input is applied to the unity feedback system having closed loop transfer function , the steady state error will be

The transfer function C(s) of a compensator is given below. The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is

The Boolean expression simplifies to

For a 3-input logic circuit shown below, the output Z can be expressed as

The logical gate implemented using the circuit shown below where, are inputs (with 0 V as digital 0 and 5 V as digital 1) and is the output is

For the synchronous sequential circuit shown below, the output Z is zero for the initial conditions The minimum number of clock cycles after which the output Z would again become zero is ________

For the given 2-port network, the value of transfer impedance in ohms is_______

The switch in the figure below was closed for a long time. It is opened at t=0. The current in the inductor of 2 H for , is

For the network given in figure below, the Thevenin's voltage is

Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1. Given are the generalized circuit constants. If the Thevenin equivalent circuit at p

In the circuit shown below, the maximum power transferred to the resistor R is _______ W.

In the circuit shown below, the value of capacitor C required for maximum power to be transferred to the load is

The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules transferred from the DC source until steady state condition is reached equals ______. (Give the answe

A stationary closed Lissajous pattern on an oscilloscope has 3 horizontal tangencies and 2 vertical tangencies for a horizontal input with frequency 3 kHZ. The frequency of the vertical input is

The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time of 50 ns. In order to display correctly, a delay line of

A digit timer counter possesses a base clock of frequency 100 MHz. When measuring a particular input, the reading obtained is the same in: (i) Frequency mode of operation with a gating time of one sec

The load shown in the figure is supplied by a 400 V (line to line) 3-phase source (RYB sequence). The load is balanced and inductive, drawing 3464 VA. When the switch S is in position N, the three wat

The following measurements are obtained on a single phase load: V = 220V 1%, I = 5.0A 1% and W=555W 2%. If the power factor is calculated using these measurements, the worst case error in the calculat

Two resistors with nominal resistance values have additive uncertainties and , respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent res

If the primary line voltage rating is 3.3 kV (Y side) of a 25 kVA. Y- transformer (the per phase turns ratio is 5:1), then the line current rating of the secondary side (in Ampere) is_____.

A star-connected, 12.5 kW, 208 V (line), 3-phase, 60 Hz squirrel cage induction motor has following equivalent circuit parameters per phase referred to the stator: . Neglect shunt branch in the equiva

A 25 kVA, 400 V, -connected, 3-phase, cylindrical rotor synchronous generator requires a field current of 5A to maintain the rated armature current under short-circuit condition. For the same field cu

A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchrono

A three-phase, three winding (1.1kV/6.6kV/400 V) transformer is energized from AC mains at the 1.1 kV side. It supplies 900 kVA load at 0.8 power factor lag from the 6.6 kV winding and 300 kVA load at

A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is operating at a slip of 0.02. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to

A 220 V, 10 kW, 900 rpm separately excited DC motor has an armature resistance . When the motor operates at rated speed and with rated terminal voltage, the electromagnetic torque developed by the mot

A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field circuit resistances are 0.4 and 0.1 respectively. The load torque varies as the square of the speed. The flux

A separately excited DC generator supplies 150 A to a 145 V DC grid. The generator is running at 800 RPM. The armature resistance of the generator is 0.1 . If the speed of the generator is increased t

A 375W, 230 V, 50 Hz capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): (main winding), (auxiliary winding). Neglecting the mag

A 3-phase 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25 and 3.925 respectively.

If a synchronous motor is running at a leading power factor, its excitation induced voltage ( ) is

Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by

A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is

A 120 V DC shunt motor takes 2 A at no load. It takes 7 A on full load while running at 1200 rpm. The armature resistance is 0.8 , and the shunt field resistance is 240 . The no load speed, in rpm, is

Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At t=0, the

A thin soap bubble of radius R = 1 cm, and thickness , is at a potential of 1 V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of soap (assuming a

The magnitude of magnetic flux density (B) in micro Teslas ( T) at the center of a loop of wire wound as a regular hexagon of side length 1m carrying a current (I=1A), and placed in vacuum as shown in

A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder wi

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.

The figures show diagrammatic representations of vector fields and respectively. Which one of the following choices is true?

A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive DC load. The converter is fed from a 230 V, 50 Hz, AC source. The fundamental frequency in Hz of the voltage rip

In the circuit shown in the figure, the diode used is ideal. The input power factor is _______. (Give the answer up to two decimal places.)

For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?

In the circuit shown, the diodes are ideal, the inductance is small, and . Which one of the following statements is true?

The input voltage of the buck-boost converter shown below varies from 32 V to 72 V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range o

A three-phase voltage source inverter with ideal devices operating in 180 conduction mode is feeding a balanced star-connected resistive load. The DC voltage input is . The peak of the fundamental com

In the circuit shown all elements are ideal and the switch S is operated at 10 kHz and 60% duty ratio. The capacitor is large enough so that the ripple across it is negligible and at steady state acqu

The figure below shows a half-bridge voltage source inverter supplying an RL-load with and . The desired fundamental frequency of the load voltage is 50 Hz. The switch control signals of the converter

The figure below shows the circuit diagram of a controlled rectifier supplied from a 230 V, 50 Hz, 1-phase voltage source and a 10:1 ideal transformer. Assume that all devices are ideal. The firing an

A 3-phase voltage source inverter is supplied from a 600V DC source as shown in the figure below. For a star connected resistive load of 20 per phase, the load power for 120 device conduction, in kW i

The figure below shows an uncontrolled diode bridge rectifier supplied form a 220 V, 50 Hz 1-phase ac source. The load draws a constant current . The conduction angle of the diode in degrees is_______

For the circuit shown in the figure below, assume that diodes and are ideal. The DC components of voltages , respectively are

In the converter circuit shown below, the switches are controlled such that the load voltage is a 400 Hz square wave. The RMS value of the fundamental component of in volts is _______.

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are , and The per unit values of the line reactances p, q and r shown in the figure are

In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is 100x100. If there are 20 PV buses in addition to PQ buses and a slack bus, the total number o

The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is , where is the rotor angle. The system is operating at the st

Two generating units rated 300 MW and 400 MW have governor speed regulation of 6% and 4% respectively from no load to full load. Both the generating units are operating in parallel to share a load of

For the balanced Y-Y connected 3-Phase circuit shown in the figure below, the line-line voltage is 208 V rms and the total power absorbed by the load is 432 W at a power factor of 0.6 leading. The app

A load is supplied by a 230 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that and . A capacitor connected across the load for power factor correction gene

The nominal- circuit of a transmission line is shown in the figure. Impedance and reactance X=3300 . The magnitude of the characteristic impedance of the transmission line, in , is _______________. (G

A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load bus

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are V and A, respectively. Similarly for phase-b t

The bus admittance matrix for a power system network is pu There is a transmission line, connected between buses 1 and 3, which is represented by the circuit shown in figure. If this transmission line

The figure show the per-phase representation of a phase-shifting transformer connected between buses 1 and 2, where is a complex number with non-zero real and imaginary parts. For the given circuit, a

The positive, negative and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1 pu, respectively. The generator is on open circuit with a terminal voltage of 1

A 3-phase, 2-pole, 50 Hz, synchronous generator has a rating of 250 MVA, 0.8 pf lagging. The kinetic energy of the machine at synchronous speed is 1000 MJ. The machine is running steadily at synchrono

Consider an overhead transmission line with 3-phase, 50 Hz balanced system with conductors located at the vertices of an equilateral triangle of length as shown in figure below. The resistance of the

Consider a causal and stable LTI system with rational transfer function H(z). Whose corresponding impulse response begins at n = 0. Furthermore, . The poles of H(z) are for k = 1,2,3,4. The zeros of H

A cascade system having the impulse responses and is shown in the figure below, where symbol denotes the time origin. The input sequence x(n) for which the cascade system produces an output sequence i

The mean square value of the given periodic waveform f(t) is_________

The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below. Which one of the following is TRUE about the frequency selectivity of these systems?

Consider the system with following input-output relation y[n]= where, x[n] is the input and y[n] is the output. The system is

Let z(t)=x(t) * y(t) , where "*" denotes convolution. Let c be a positive real-valued constant. Choose the correct expression for z(ct).

Consider Here, represents the largest integer less than or equal to t and denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier serie

The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is

Let the signal be passed through an LTI system with frequency response , as given in the figure below The Fourier series representation of the output is given as