GATE EE 2011
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GATE EE

A clipper Circuit is shown below Assuming forward voltage drops of the diodes to be $$0.7V,$$ the input-output transf
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The transistor used in the circuit shown below has a $$\beta $$ of $$30$$ and $${{\rm I}_{CBO}}$$ is negligible. If th
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For the circuit shown below, the correct transfer characteristics is
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A low pass filter with a cut-off frequency of $$30Hz$$ is cascaded with a high pass filter with a cut off frequency of 2
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The steady state error of a unity feedback linear system for a unit step input is $$0.1.$$ The steady state error of the
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A two-loop position control system is shown below. The gain $$k$$ of the Tacho-generator influences mainly the
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The response $$h(t)$$ of a linear time invariant system to an impulse $$\delta \left( t \right),$$ under initially relax
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The open loop transfer function $$G(s)$$ of a unity feedback control system is given as, $$G\left( s \right) = {{k\left
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An open loop system represented by the transfer function $$G\left( s \right) = {{\left( {s - 1} \right)} \over {\left( {
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The frequency response of a linear system $$G\left( {j\omega } \right)$$ is provided in the tubular form below. The gai
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The output $$Y$$ of the logic circuit given below is
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A two-bit counter circuit is shown below It the state $${Q_A}{Q_B}$$ of the counter at the clock time $${t_n}$$ is $$'
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A portion of the main program to call a subroutine $$SUB$$ in an $$8085$$ environment is given below: $$\eqalign{ &amp
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In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of
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The r.m.s value of the current i(t) in the circuit shown below is
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The voltage applied to a circuit is $$100\sqrt2\cos\left(100\mathrm{πt}\right)$$ volts and the circuit draws a current o
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An RLC circuit with relevant data is given below. The power dissipated in the resistor R is
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An RLC circuit with relevant data is given below. The current $${\underline I}_C$$ in the figure above is
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The bridge circuit shown in the fig below is used for the measurement of an unknown element Zx. The bridge circuit is be
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Consider the following statement: (i) The compensating coil of a low power factor wattmeter compensates the effect of th
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A dual trace oscilloscope is set to operate in the ALTernate. The control input of the multiplexer used in the y-circuit
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A $$4\,{1 \over 2}$$ digit $$DMM$$ has the error specification as $$0.2$$% of reading $$+10$$ counts. If a dc voltage of
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A 4–point starter is used to start and control the speed of a
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A 220 V, DC shunt motor is operating at a speed of 1440 rpm. The armature resistance is 1.0 $$\Omega$$ and armature curr
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A single phase air core transformer, fed from a rated sinusoidal supply, is operating at no load. The steady state magne
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A three-phase 440V, 6 pole, 50Hz, squirrel cage induction motor is running at a slip of 5%. The speed of stator magnetic
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A three-phase, salient pole synchronous motor is connected to an infinite bus. It is operated at no load a normal excita
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The direct axis and quadrature axis reactances of a salient pole alternator are $$1.2$$ $$p.u$$ and $$1.0$$ $$p.u$$ resp
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A capacitor is made with a polymeric dielectric having an $$\varepsilon_0$$ of 2.26 and a dielectric breakdown strength
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The two vectors $$\left[ {\matrix{ 1 & 1 & 1 \cr } } \right]$$ and $$\left[ {\matrix{ 1 & a &
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The matrix $$\left[ A \right] = \left[ {\matrix{ 2 & 1 \cr 4 & { - 1} \cr } } \right]$$ is decompose
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Roots of the algebraic equation $${x^3} + {x^2} + x + 1 = 0$$ are
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The function $$f\left( x \right) = 2x - {x^2} + 3\,\,$$ has
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The two vectors $$\left[ {\matrix{ {1,} & {1,} & {1} \cr } } \right]$$ and $$\left[ {\matrix{ {1,} &am
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With $$K$$ as constant, the possible solution for the first order differential equation $${{dy} \over {dx}} = {e^{ - 3x
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Solution, the variable $${x_1}$$ and $${x_2}$$ for the following equations is to be obtained by employing the Newton $$-
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Given $$f(t)$$ and $$g(t)$$ as shown below $$g(t)$$ can be expressed as
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Given $$f(t)$$ and $$g(t)$$ as shown below The laplace transform of $$g(t)$$ is
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A point $$z$$ has been plotted in the complex plane as shown in the figure below The plot of the complex number $$w =
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Circuit turn-off time of an $$SCR$$ is defined as the time
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The input voltage given to a converter is $${V_i} = 100\sqrt 2 \,\,\,\sin \,\,\,\left( {100\pi t} \right)\,\,V$$ The cu
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The input voltage given to a converter is $${V_i} = 100\sqrt 2 \,\,\,\sin \,\,\,\left( {100\pi t} \right)\,\,V$$ The cu
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A solar energy installation utilize a three – phase bridge converter to feed energy into power system through a transfor
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A solar energy installation utilize a three – phase bridge converter to feed energy into power system through a transfor
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A voltage commutated chopper circuit, operated at $$500Hz,$$ is shown below. If the maximum value of load current is $$1
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A three-phase current source inverter used for the speed control of an induction motor is to be realized using MOSFET sw
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A nuclear power station of $$500$$ $$MW$$ capacity is located at $$300$$ km away from a load center. Select the most sui
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For enhancing the power transmission in along $$EHV$$ transmission line, the most preferred is to connect a
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A lossy capacitor $${C_x}$$, rated for operation at $$5$$ $$kV,$$ $$50$$ $$Hz$$ is represented by an equivalent circuit
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A load center of 120 MW derives power from two power stations connected by 220 kV transmission lines of 25 km and 75 km
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A negative sequence relay is commonly used to protect
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A three–bus network is shown in the figure below indicating the p.u. impedances of each element The bus admittance mat
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Two generator units $$G1$$ and $$G2$$ are connected by $$15$$ $$kV$$ line with a bus at the mid-point as shown below $
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Two generator units $$G1$$ and $$G2$$ are connected by $$15$$ $$kV$$ line with a bus at the mid-point as shown below $
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A point Z has been plotted in the complex plane, as shown in figure below. The plot of the complex number $$y=\frac1z$
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Given two continuous time signals $$x\left(t\right)=e^{-t}$$ and $$y\left(t\right)=e^{-2t}$$ which exist for t > 0, t
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A low–pass filter with a cut-off frequency of 30 Hz is cascaded with a high-pass filter with a cut-off frequency of 20 H
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The response h(t) of a linear time invariant system to an impulse $$\delta\left(t\right)$$, under initially relaxed cond
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The fourier series expansion $$$f\left(t\right)\;=\;a_0\;+\;\sum_{n=1}^\infty a_n\cos\;n\omega t\;+\;b_n\sin\;n\omega t$
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Let the Laplace transform of a function f(t) which exists for t > 0 be F1(s) and the Laplace transform of its delayed
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