GATE EE 2008

## GATE EE

The equivalent circuits of a diode, during forward and reverse biased conditions are shown in figure.
(a)
(b)
If suc

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In the voltage doubler circuit shown in figure, the switch $$' S '$$ is closed at $$t=0$$. Assuming diodes $${D_1}$$ &am

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Two perfectly matched silicon transistors are connected as shown in the figure. Assuming the $$\beta $$ of the transisto

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The block diagram of two types of half wave rectifiers are shown in figure. The transfer characteristics of the rectifie

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A general filter circuit is shown in figure
If $${R_1} = {R_2} = {R_A}$$ and $${R_3} = {R_4} = {R_B},$$ the circuit ac

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A general filter circuit is shown in figure
The output of the filter in above is given to the circuit shown in figure

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A waveform generator circuit using $$OPAMPs$$ is shown in the figure. It produces a triangular wave at point $$'P'$$ wit

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The truth of a monoshot shown in the figure is given in the table below:
Two monoshots, one positive edge triggered and

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A function $$y(t)$$ satisfies the following differential equation : $${{dy\left( t \right)} \over {dt}} + y\left( t \rig

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The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}$$

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The transfer function of a system is given as $${{100} \over {{s^2} + 20s + 100}}.$$ The system is

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Figure shows a feedback system where $$K>0$$
The range of $$k$$ for which system is stable will by given by

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The asymptotic Bode magnitude plot of a minimum phase transfer function is shown in the figure:
This transfer function

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The transfer function of two compensators are given below:
$${C_1} = {{10\left( {s + 1} \right)} \over {\left( {s + 10}

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The state space equation of a system is described by $$\mathop X\limits^ \bullet = AX + BU,\,\,Y = Cx$$ where $$X$$ is

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The state space equation of a system is described by $$\mathop X\limits^ \bullet = AX + BU,\,\,Y = Cx$$ where $$X$$ is

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A $$3$$ line to $$8$$ line decoder, with active low outputs, is used to implement a $$3$$- variable Boolean function as

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An input device is interfaced with Intel $$8085$$ $$A$$ microprocessor as memory mapped $${\rm I}/O,$$ the address of th

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The contents (in Hexadecimal) of some of the memory locations in an $$8085A$$ based system are given below
The content

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The Thevenin's equivalent of a circuit operating at $$\omega = 5\,\,rad/s\,\,{V_{oc}} = 3.71\angle - {15.9^ \circ }$$

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Assuming ideal elements in the circuit shown below, the voltage $${V_{ab}}$$ will be

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In the circuit shown in the figure, the value of the current $$i$$ will be given by

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The number of chords in the graph of the given circuit will be

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The time constant for the given circuit will be

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A bridge circuit is shown in the figure below. Which one of the sequence given below is most suitable for balancing the

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The ac bridge shown in the figure is used to measure the impedance $$Z.$$ If the bridge is balanced for oscillator frequ

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Two Sinusoidal signal $$p\left( {{\omega _1}t} \right) = A\,\sin \omega t,$$ and $$q\left( {{\omega _2}t} \right)$$ are

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Two $$8$$ $$A$$ $$D$$ $$C$$ $$s$$ one of single slope integrating type and other of successive approximation type. Take

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A $$230V,$$ $$50Hz,$$ $$4$$ pole, single phase induction motor is rotating in the clockwise (forward) direction at a spe

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A $$400$$ $$V,$$ $$50$$ $$Hz$$, $$4$$ pole, $$1400$$ $$rpm$$, star connected squirrel cage induction motor has the foll

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A $$400$$ $$V,$$ $$50$$ $$Hz,$$ $$30$$ $$hp,$$ three-phase induction motor is drawing $$50$$ A current at $$0.8$$ power

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A $$3$$-phase, $$440$$ $$V,$$ $$50$$ $$Hz,$$ $$4$$ pole, slip ring induction motor is feed from the rotor side through

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A $$3$$-phase, $$440$$ $$V,$$ $$50$$ $$Hz,$$ $$4$$ pole, slip ring induction motor is feed from the rotor side through

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In a stepper motor, the detent torque means

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Distributed winding and short chording employed in AC machines will result in

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A synchronous motor is connected to an infinite bus at $$1.0p.u$$ voltage and draws $$0.6$$ $$pu$$ at unity power facto

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A synchronous motor is connected to an infinite bus at $$1.0$$ $$p.u$$ voltage and draws $$0.6$$ $$pu$$ at unity power

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A $$240V$$ $$dc$$ shunt motor draws $$15A$$ while supplying the rated load at a speed of $$80$$ $$rad/s$$. The armatur

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A $$240V$$ $$dc$$ shunt motor draws $$15A$$ while supplying the rated load at a speed of $$80$$ $$rad/s$$. The armatur

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It is desired to measure parameters of $$230$$ $$V/115$$ $$V,$$ $$2$$ $$kVA$$, single-phase transformers. The following

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Three single-phase transformers are connected to form a $$3$$-phase transformer bank. The transformers are connected in

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The core of two-winding transformer is subjected to a magnetic flux variation as indicated in the figure.
The induce

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A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross-sectional area of

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Two point charges $${Q_1} = 10\,\,\mu C$$ and $${Q_2} = 20\,\,\mu C$$ are placed at coordinates $$(1,1,0)$$ and $$\left(

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A capacitor consists of two metal plates each $$500 \times 500\,\,m{m^2}$$ and spaced $$6$$ $$mm$$ apart. The space betw

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The characteristic equation of a $$3\,\, \times \,\,3$$ matrix $$P$$ is defined as
$$\alpha \left( \lambda \right) = \

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If the rank of a $$5x6$$ matrix $$Q$$ is $$4$$ then which one of the following statements is correct?

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$$A$$ is $$m$$ $$x$$ $$n$$ full rank matrix with $$m > n$$ and $${\rm I}$$ is an identity matrix. Let matrix $${A^ +

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Let $$P$$ be $$2x2$$ real orthogonal matrix and $$\overline x $$ is a real vector $${\left[ {\matrix{
{{x_1}} & {

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$$X$$ is uniformly distributed random variable that take values between $$0$$ and $$1.$$ The value of $$E\left( {{X^3}}

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A differential equation $${{dx} \over {dt}} = {e^{ - 2t}}\,\,u\left( t \right)\,\,$$ has to be solved using trapezoidal

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Equation $${e^x} - 1 = 0\,\,$$ is required to be solved using Newton's method with an initial guess $$\,\,{x_0} = - 1.\

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Given $$X(z) = {z \over {{{(z - a)}^2}}}$$ with |z| > a, the residue of $$X(z){z^{n - 1}}$$ at z = a for $$n \ge 0$$

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A three phase fully controlled bridge converter is feeding a load drawing a constant and ripple free load current of $$1

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A single phase full bridge converter supplies a load drawing constant and ripple free load current. If the triggering an

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In the circuit shown in the figure, the switch is operated at a duty cycle of $$0.5.$$ A large capacitor current is conn

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A $$3$$ - phase voltage source Inverter is operated in $${180^ \circ }$$ conduction mode. Which one of the following sta

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A single phase voltage source inverter is feeding a purely inductive load as shown in the figure.
The inverter is oper

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A single - phase half controlled converter shown in the figure feeding power to highly inductive load. The converter is

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A single phase fully controlled converter bridge is used for electrical braking of a separately excited $$dc$$ motor. Th

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In the single phase voltage controller circuit shown in the figure, for what range of triggering angle $$\left( \alpha

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An extra high voltage transmission line of length $$300$$ km can be approximate by a lossless line having propagation co

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A lossless transmission line having Surge Impedance Loading $$(SIL)$$ of $$2280$$ $$MW.$$ A Series capacitive compensa

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A lossless single machine infinite bus power system is shown below:
The synchronous generator transfers $$1.0$$ per un

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A 3-phase transmission line is shown in figure:
Voltage drop across the transmission line is given by the following eq

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Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.

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Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.

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Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.

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A lossless power system has to serve a load of $$250$$ $$MW.$$ There are two generators ($$G1$$ and $$G2$$) in the syste

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A two machine power system in shown below. Transmission line $$XY$$ has positive sequence impedance of $${Z_1}\Omega $$

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Voltage phasors at the two terminals of a transmission line of length $$70$$ km have a magnitude of $$1.0$$ per unit bu

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Let x(t) be a periodic signal with time period T. Let y(t) = x(t - t0) + x(t + t0) for some t0. The Fourier Series coeff

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A function y(t) satisfies the following differential equation:$$$\frac{\operatorname dy\left(t\right)}{\operatorname dt}

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Given X(z)=$$\frac z{\left(z-a\right)^2}$$ with $$\left|z\right|$$ > a, the residue of X(z)zn-1 at z = a for n $$\geq

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A signal $${e^{ - \alpha t}}\,\sin \left( {\omega t} \right)$$ is the input to a real Linear Time Invariant system. Give

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A signal $${e^{ - \alpha t}}\,\sin \left( {\omega t} \right)$$ is the input to a real Linear Time Invariant system. Give

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The impulse response of a causal linear time-invariant system is given as $$h(t)$$. Now consider the following two state

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A system with input $$x(t)$$ and output $$y(t)$$ is defined by the input $$-$$ output relation:
$$y\left( t \right) = \

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A signal $$x\left( t \right) = \sin c\left( {\alpha t} \right)$$ where $$\alpha $$ is a real constant $$\left( {\sin \,c

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The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}.$$

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