GATE EE 2014 PYQ

An oscillator circuit using ideal op-amp and diodes is shown in the figure. The time duration for +ve part of the cycle is and for -ve part is . The value of will be ______.

Assuming the diodes to be ideal in the figure, for the output to be clipped, the input voltage must be outside the range

An operational amplifier circuit is shown in the figure. The output of the circuit for a given input is

Two monoshot multivibrators, one positive edge triggered and another negative edge triggered , are connected as shown in figure The monoshots and when triggered produce pulses of width and respectivel

The magnitude of the mid-band voltage gain of the circuit shown in figure is (assuming of the transistor to be 100)

The sinusoidal ac source in the figure has an rms value of V. Considering all possible values of , the minimum value of to avoid burnout of the Zener diode is _____.

In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plote for the transfer function ?

The transistor in the given circuit should always be in active region. Take . The maximum value of which can be used, is _____.

In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when

Given that the op-amps in the figure are ideal, the output voltage is

A hysteresis type TTL inverter is used to realize an oscillator in the circuit shown in the figure. If the lower and upper trigger level voltages are 0.9 V and 1.7 V, the period (in ms), for which out

The transfer characteristic of the Op-amp circuit shown in figure is

A 10 kHz even-symmetric square ware is passed through a bandpass filter with centre frequency at 30 kHz and 3 dB passband of 6 kHz. The filter output is

The Bode magnitude plot of the transfer function is shown below: Note that -6 dB/octave =- 20 dB/decade. The value of is _____.

Consider the system described by following state space equations If u is unit step input, then the steady state error of the system is

The magnitude Bode plot of a network is shown in the figure The maximum phase angle and the corresponding gain respectively, are

For the transfer function The values of the constant gain term and the highest corner frequency of the Bode plot respectively are

The signal flow graph of a system is shown below. U(s) is the input and C(s) is the output Assuming , the input-output transfer function of the system is given by

In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of

The state transition matrix for the system is

The closed-loop transfer function of a system is . The steady state error due to unit step input is _____.

For the given system, it is desired that the system be stable. The minimum value of for this condition is ______.

The block diagram of a system is shown in the figure If the desired transfer function of the system is then G(s) is

A single-input single output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| 1. Which of the following is true about the stability o

The root locus of a unity feedback system is shown in the figure. The closed loop transfer function of the system is

A system with the open loop transfer function is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of K is ___

The second order dynamic system has the matrices P, Q and R as follows : The system has the following controllability and observability properties:

In an 8085 microprocessor, the following program is executed At the end of program, register A contains

A JK flip flop can be implemented by T flip-flops. Identify the correct implementation.

A 3-bit gray counter is used to control the output of the multiplexer as shown in the figure. The initial state of the counter is . The output is pulled high. The output of the circuit follows the seq

A cascade of three identical modulo-5 counters has an overall modulus of

Which of the following logic circuits is a realization of the function F whose Karnaugh map is shown in figure

A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where X is the don't care condition, and Q is the output representing the state. The logic gate represented

The SOP (sum of products) form of a Boolean function is (0,1,3,7,11), where inputs are A, B, C , D (A is MSB, and D is LSB). The equivalent minimized expression of the function is

Which of the following is an invalid state in an 8-4-2-1 Binary Coded Decimal counter

An output device is interfaced with 8-bit microprocessor 8085A. The interfacing circuit is shown in figure The interfacing circuit makes use of 3 Line to 8 Line decoder having 3 enables lines . The ad

In 8085A microprocessor, the operation performed by the instruction LHLD 2100H is

The total power dissipated in the circuit, shown in the figure, is 1 kW. The voltmeter, across the load, reads 200 V. The value of is _____.

Assuming an ideal transformer, the Thevenin's equivalent voltage and impedance as seen from the terminals x and y for the circuit in figure are

The line A to neutral voltage is V for a balanced three phase star connected load with phase sequence ABC . The voltage of line B with respect to line C is given by

The driving point impedance Z(s) for the circuit shown below is

The switch SW shown in the circuit is kept at position '1' for a long duration. At t=0+, the switch is moved to position '2'. Assuming , the voltage across the capacitor is

A combination of 1 F capacitor with an initial voltage in series with a 100 resistor is connected to a 20 mA ideal dc current source by operating both switches at t=0s as shown. Which of the following

A series RLC circuit is observed at two frequencies. At =1 krad/s, we note that source voltage V results in a current . At =2 krad/s, the source voltage V results in a current . The closest values for

Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380 H and 240 H. Their mutual inductance in H is _____.

A non-ideal voltage source has an internal impedance of . If a purely resistive load is to be chosen that maximizes the power transferred to the load, its value must be

The Norton's equivalent source in amperes as seen into terminals X and Y is ____.

The voltage across the capacitor, as shown in the figure, is expressed as The values of respectively, are

While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are 100 W and 250 W. The power factor of the load is ______.

A periodic waveform observed across a load is represented by The measured value, using moving iron voltmeter connected across the load, is

In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance in microfarad is ______.

The dc current flowing in a circuit is measured by two ammeters, one PMMC and another electrodynamometer type, connected in series. The PMMC meter contains 100 turns in the coil, the flux density in t

Power consumed by a balanced 3-phase, 3-wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then, the load impedance angle in radians is

The two signals S1 and S2, shown in figure, are applied to Y and X deflection plates of an oscilloscope. The waveform displayed on the screen is

Suppose that resistors are connected in parallel to give an equivalent resistor R. If resistors have tolerance of 1% each, the equivalent resistor R for resistors and will have tolerance of

Two ammeters X and Y have resistances of 1.2 and 1.5 respectively and they give full-scale deflection with 150 mA and 250 mA respectively. The ranges have been extended by connecting shunts so as to g

In an oscilloscope screen, linear sweep is applied at the

The reading of the voltmeter (rms) in volts, for the circuit shown in the figure is _________

The saw-tooth voltage waveform shown in the figure is fed to a moving iron voltmeter. Its reading would be close to __________

An LPF wattmeter of power factor 0.2 is having three voltage settings 300 V, 150 V and 75 V, and two current settings 5 A and 10 A. The full scale reading is 150. If the wattmeter is used with 150 V v

A three-phase, 4-pole, self excited induction generator is feeding power to a load at a frequency . If the load is partially removed, the frequency becomes . If the speed of the generator is maintaine

The load shown in the figure absorbs 4 kW at a power factor of 0.89 lagging Assuming the transformer to be ideal, the value of the reactance X to improve the input power factor to unity is _________.

A star connected 400 V, 50 Hz, 4 pole synchronous machine gave the following open circuit and short circuit test results : Open circuit test : = 400 V (rms, line-to-line) at field current, = 2.3 A Sho

For a single phase, two winding transformer, the supply frequency and voltage are both increased by 10%. The percentage changes in the hysteresis loss and eddy current loss, respectively, are

In a constant V/f control of induction motor, the ratio V/f is maintained constant from 0 to base frequency, where V is the voltage applied to the motor at fundamental frequency f . Which of the follo

The no-load speed of a 230 V separately excited dc motor is 1400 rpm. The armature resistance drop and the brush drop are neglected. The field current is kept constant at rated value. The torque of th

A three phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figure for the synchronization. The phase sequence of bus voltage is R-Y-B and that

A 20-pole alternators is having 180 identical stator slots with 6 conductors in each slot. All the coils of a phase are in series. If the coils are connected to realize single-phase winding, the gener

The parameters measured for a 220 V/110 V, 50 Hz, single phase transformer are : Self inductance of primary winding = 45mH Self inductance of secondary winding = 30 mH Mutual inductance between primar

A 15 kW, 230 V dc shunt motor has armature circuit resistance of 0.4 and field circuit resistance of 230 . At no load and rated voltage, the motor runs at 1400 rpm and the line current drawn by the mo

For a specified input voltage and frequency, if the equivalent radius of the core of a transformer is reduced by half, the factor by which the number of turns in the primary should change to maintain

In a synchronous machine, hunting is predominantly damped by

A non-salient pole synchronous generator having synchronous reactance of 0.8 pu is supplying 1 pu power to a unity power factor load at a terminal voltage of 1.1 pu. Neglecting the armature resistance

A single phase, 50 kVA, 1000 V/100 V two winding transformer is connected as an autotransformer as shown in the figure. The kVA rating of the autotransformer is ________.

A single phase induction motor is provided with capacitor and centrifugal switch in series with auxiliary winding. The switch is expected to operate at a speed of 0.7 Ns, but due to malfunctioning the

A separately excited 300 V DC shunt motor under no load runs at 900 rpm drawing an armature current of 2 A. The armature resistance is 0.5 and leakage inductance is 0.01 H. When loaded, the armature c

An 8-pole, 3-phase, 50 Hz induction motor is operating at a speed of 700 rpm. The frequency of the rotor current of the motor in Hz is ______.

A 3 phase, 50 Hz, six pole induction motor has a rotor resistance of 0.1 and reactance of 0.92 . Neglect the voltage drop in stator and assume that the rotor resistance is constant. Given that the ful

A 250 V dc shunt machine has armature circuit resistance of 0.6 and field circuit resistance of 125 . The machine is connected to 250 V supply mains. The motor is operated as a generator and then as a

A three phase slip-ring induction motor, provided with a commutator winding, is shown in the figure. The motor rotates in clockwise direction when the rotor windings are closed. If the rotor winding i

An open circuit test is performed on 50 Hz transformer, using variable frequency source and keeping V/f ratio constant, to separate its eddy current and hysteresis losses. The variation of core loss/f

The torque speed characteristics of motor ( ) and load ( ) for two cases are shown in the figures (a) and (b). The load torque is equal to motor torque at points P, Q, R and S. The stable operating po

A single phase induction motor draws 12 MW power at 0.6 lagging power. Acapacitor is connected in parallel to the motor to improve the power factor of the combination of motor and capacitor to 0.8 lag

The core loss of a single phase, 230/115 V, 50 Hz power transformer is measured from 230 V side by feeding the primary (230 V side) from a variable voltage variable frequency source while keeping the

A hollow metallic sphere of radius r is kept at potential of 1 Volt. The total electric flux coming out of the concentric spherical surface of radius R( r) is

The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is

is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire gap as shown in figure (b) is filled with a dielectric of permittivity , the expressi

A perfectly conducting metal plate is placed in x-y plane in a right handed coordinate system. A charge of coulombs is placed at coordinate (0,0,2). is the permittivity of free space. Assume to be uni

The magnitude of magnetic flux density at a point having normal distance d meters from an infinitely extended wire carrying current of A is (in SI units). An infinitely extended wire is laid along the

A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates. If the potential difference betwee

The figure shows the circuit of a rectifier fed from a 230 V (rms), 50-Hz sinusoidal voltage source. If we want to replace the current source with a resistor so that the rms value of the current suppl

The figure shows the circuit diagram of a rectifier. The load consists of a resistance 10 and an inductance 0.05 H connected in series. Assuming ideal thyristor and ideal diode, the thyristor firing a

Figure shows four electronic switches (i), (ii), (iii) and (iv). Which of the switches can block voltages of either polarity (applied between terminals 'a' and 'b') when the active device is in the OF

The SCR in the circuit shown has a latching current of 40 mA. A gate pulse of 50 s is applied to the SCR. The maximum value of R in to ensure successful firing of the SCR is ______.

Figure (i) shows the circuit diagram of a chopper. The switch S in the circuit in figure (i) is switched such that the voltage across the diode has the wave shape as shown in figure (ii). The capacita

A step-up chopper is used to feed a load at 400 V dc from a 250 V dc source. The inductor current is continuous. If the 'off' time of the switch is 20 s, the switching frequency of the chopper in kHz

A fully controlled converter bridge feeds a highly inductive load with ripple free load current. The input supply ( ) to the bridge is a sinusoidal source. Triggering angle of the bridge converter is

A diode circuit feeds an ideal inductor as shown in the figure. Given V, where rad/s, and L = 31.83mH. The initial value of inductor current is zero. Switch S is closed at t = 2.5ms. The peak value of

A single-phase voltage source inverter shown in figure is feeding power to a load. The triggering pulses of the devices are also shown in the figure. If the load current is sinusoidal and is zero at t

The figure shows one period of the output voltage of an inverter. should be chosen such that . If rms value of the fundamental component is 50V, then in degree is _____.

A three-phase fully controlled bridge converter is fed through star-delta transformer as shown in the figure. The converter is operated at a firing angle of 30 . Assuming the load current ( ) to be vi

A single-phase SCR based ac regulator is feeding power to a load consisting of 5 resistance and 16 mH inductance. The input supply is 230 V, 50 Hz ac. The maximum firing angle at which the voltage acr

For a 400 km long transmission line, the series impedance is and the shunt admittance is . The magnitude of the series impedance (in ) of the equivalent circuit of the transmission line is ____.

The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free s

In a long transmission line with and c are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for distortionless transmission is

For a fully transposed transmission line

The complex power consumed by a constant-voltage load is given by ( ), where, and . A compensating shunt capacitor is chosen such that , where Q is the net reactive power consumed by the capacitor loa

The fuel cost functions of two power plants are Plant Plant where, are the generated powers of two plants, and A and B are the constants. If the two plants optimally share 1000 MW load at incremental

The undesirable property of an electrical insulating material is

The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator H = 5 MW-s/MVA. Frequency is 50 Hz. Mechanical power is 1 pu. The sy

In an unbalanced three phase system, phase current pu, negative sequence current , zero sequence current pu. The magnitude of phase current in pu is

A distribution feeder of 1 km length having resistance, but negligible reactance, is fed from both the ends by 400 V, 50 Hz balanced sources. Both voltage sources are in phase. The feeder supplies con

A synchronous generator is connected to an infinite bus with excitation voltage pu. The generator has a synchronous reactance of 1.1 pu and is delivering real power (P) of 0.6 pu to the bus. Assume th

A 2-bus system and corresponding zero sequence network are shown in the figure. The transformers T1 and T2 are connected as

A two bus power system shown in the figure supplies load of 1.0+j0.5 p.u. The values of in p.u. and respectively are

A 183 bus power system has 150 PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equa

A three phase star-connected load is drawing power at a voltage of 0.9 pu and 0.8 power factor lagging. The three phase base power and base current are 100 MVA and 437.38 A respectively. The line-to-l

A three phase, 100 MVA, 25 kV generator has solidly grounded neutral. The positive, negative, and the zero sequence reactances of the generator are 0.2 pu, 0.2 pu and 0.05 pu, respectively, at the mac

The over current relays for the line protection and loads connected at the buses are shown in the figure. The relays are IDMT in nature having the characteristic The maximum and minimum fault currents

Three-phase to ground fault takes place at locations in the system shown in the figure. If the fault takes place at location , then the voltage and the current at bus A are respectively. If the fault

There are two generators in a power system. No-load frequencies of the generators are 51.5 Hz and 51 Hz, respectively, and both are having droop constant of 1Hz/MW. Total load in the system is 2.5 MW.

Shunt reactors are sometimes used in high voltage transmission systems to

Let f(t) be a continuous time signal and let F( ) be its Fourier Transform defined by Define g(t) by What is the relationship between f(t) and g(t) ?

A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The resulting sample train is next applied to an ideal lowpass filter with cutoff at 25 Hz. The filter output is se

Consider an LTI system with transfer function If the input to the system is cos(3t) and the steady state output is Asin(3t+ ) , then the value of A is

For a periodic square wave, which one of the following statements is TRUE ?

Let be the Z -transform of a causal signal x [n]. Then, the values of x[2] and x[3] are

Let be the Laplace Transform of a signal x(t). Then, x( ) is

For the signal , the minimum sampling frequency (in Hz) satisfying the Nyquist criterion is _____.

A discrete system is represented by the difference equation It has initial conditions . The pole locations of the system for a = 1, are

Consider an LTI system with impulse response . If the output of the system is then the input, x(t), is given by

Let g : be a function defined by g(x)=x-[x], where [x] represents the integer part of x . (That is, it is the largest integer which is less than or equal to x ). The value of the constant term in the

A continuous-time LTI system with system function H( ) has the following polezero plot. For this system, which of the alternatives is TRUE ?

A differentiable non constant even function x(t) has a derivative y(t), and their respective Fourier Transforms are X( ) and Y( ). Which of the following statments is TRUE ?

An input signal x(t)=2+5sin(100 t) is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by where, N represents the number of samples per cycl

A signal is represented by The Fourier transform of the convolved signal is

The function shown in the figure can be represented as

x(t) is nonzero only for , and similarly, y(t) is nonzero only for . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE ?

A function f(t) is shown in the figure. The Fourier transform F( ) of f(t) is