GATE EE 2005
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## GATE EE

Assume that $${D_1}$$ and $${D_2}$$ in figure are ideal diodes the value of current $${I_s}$$ is
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Assume that the $$N$$-channel $$MOSFET$$ shown in figure is ideal, and that its threshold voltage is The voltage $${\rm View Question The common emitter amplifier shown in the figure is biased using a$$1mA$$ideal current source. The approximate base cu View Question Assume that the threshold voltage of the$$N$$-channel$$MOSFET$$shown in figure is$$0.75V.$$The output characte View Question Assume that the threshold voltage of the$$N$$-channel$$MOSFET$$shown in figure is$$0.75V.$$The output characte View Question Consider the inverting amplifier, using an ideal operational amplifier shown in figure. The designer wishes to realize t View Question In the given figure, if the input is a sinusoidal signal, the output-will appear as shown View Question The typical frequency response of a two-stage direct coupled voltage amplifier is as shown in figure View Question When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error o View Question Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer functio View Question When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error View Question A system with zero initial conditions has the closed loop transfer function$$T\left( s \right) = {{{s^2} + 4} \over {\l
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The gain margin of a unity feedback control system with the open loop transfer function $$G\left( s \right) = {{\left( { View Question In the$$GH(s)$$plane, the Nyquist plot of the loop transfer function$$G\left( s \right)\,H\left( s \right) = {{\pi {e
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If the compensated system shown in the figure has a phase margin of $${60^ \circ }$$ at the crossover frequency of $$1 r View Question A state variable system$$\mathop X\limits^ \bullet \left( t \right) = \left( {\matrix{ 0 &amp; 1 \cr 0 &amp;
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A state variable system $$\mathop X\limits^ \bullet \left( t \right) = \left( {\matrix{ 0 &amp; 1 \cr 0 &amp; View Question In the figure, as long as$${X_1} = 1$$and$${X_2} = 1,$$the output$$Q$$remains View Question The digital circuit shown in the figure works as a View Question Select the circuit which will produce the given output$$Q$$for the input signals$${X_1}$$and$${X_2}$$given in the View Question If$${X_1}$$and$${X_2}$$are the inputs to the circuit shown in the figure, the output$$Q$$is View Question A digital-to-analog converter with a full -scale output voltage of$$3.5V$$has a resolution close to$$14m$$View Question The$$8085$$assembly language instruction that stores the content of$$H$$and$$L$$registers into the memory location View Question In the figure given below the value of$$R$$is View Question In the given Fig. the Thevenin's equivalent pair (voltage, impedence), as seen at the terminals$$P-Q$$, is given by View Question In the Fig. given below, the initial capacitor voltage is zero. The switch is closed at$$t = 0.$$the final steady-sta View Question A coil of inductance$$10H$$resistance$$40\,\,\Omega $$is connected as shown in Fig. After the switch$$S$$has View Question The circuit shown in the Fig. is in steady state, when the switch is closed at$$t=0.$$Assuming that the inductance is View Question A coil of inductance$$10H$$resistance$$40\,\,\Omega $$is connected as shown in Fig. After the switch$$S$$has View Question The$$RL$$circuit of the figure is fed from a constant magnitude, variable frequency sinusoidal voltage source$${V_{I
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For the two port network shown in the Fig. the $$Z$$ $$-$$ matrix is given by
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Two networks are connected in cascade as shown in the Fig. With the usual notations the equivalent $$A,B,C$$ and $$D$$ c
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The set-up in the figure is used to measure resistance $$R$$. The ammeter and voltmeter resistances are $$0.01$$$$\Omega View Question A$$1000VDC$$supply has two$$1-core$$cables as its positive and negative leads: their insulation resistance View Question A DC ammeter has a resistance of$$0.1\Omega $$and its current range is$$0$$–$$100A.$$If the range is to be ext View Question Two wattmeter's, which are connected to measure the total power on a three-phase system supplying a balanced load, read View Question A$$PMMC$$voltmeter is connected across a series combination of a$$DC$$voltage source$${V_1} = 2V$$and$$AC$$volta View Question The simultaneous application of signals$$x(t)$$and$$y(t)$$to the horizontal and vertical plates, respectively, of an View Question A digital-to-analog converter with a full scale output voltage of$$3.5V$$has resolution close to$$14mV.$$It's bit si View Question Two magnetic poles revolve around a stationary armature carrying two coils ($$c_1-c'_1$$,$$c_2-c'_2$$) as shown in Fi View Question In relation to DC machines, match the following and choose the correct combination. Group-I(Performance variables) (P) A View Question A 50 kW dc shunt motor is loaded to draw rated armature current at any given speed. When driven (i) at half the rated sp View Question Which three-phase connection can be used in a transformer to introduce a phase difference of 30° between its output and View Question For an induction motor, operating at a slip 's', the ratio of gross power output to air gap power is equal to: View Question On the torque/speed curve of induction motor shown in Fig, four points of operation are market as W, X, Y and Z. Which o View Question Under no load condition, if the applied voltage to an induction motor is reduced from the rated voltage to half the rate View Question A three-phase cage induction motor is started by direct-on-line (DOL) switching at the rated voltage. If the starting cu View Question Assertion [a]: Under V/f control of induction motor, the maximum value of the developed torque remains constant over a w View Question In a single phase induction motor driving a fan load, the reason for having a high resistance rotor is to achieve View Question In relation to the synchronous machines, which one of the following statements is false? View Question A$$1000kVA,6.6kV,3$$-phase star connected cylindrical pole synchronous generator has a synchronous View Question A$$1000kVA,6.6kV,3$$-phase star connected cylindrical pole synchronous generator has a synchronous View Question In the matrix equation$$PX=Q$$which of the following is a necessary condition for the existence of atleast one solutio View Question For the matrix$$P = \left[ {\matrix{ 3 &amp; { - 2} &amp; 2 \cr 0 &amp; { - 2} &amp; 1 \cr 0 &amp; 0 &amp;
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If $$R = \left[ {\matrix{ 1 &amp; 0 &amp; { - 1} \cr 2 &amp; 1 &amp; { - 1} \cr 2 &amp; 3 &amp; 2 \cr } View Question For the function$$f\left( x \right) = {x^2}{e^{ - x}},$$the maximum occurs when$$x$$is equal to View Question If$$S = \int\limits_1^\infty {{x^{ - 3}}dx} $$then$$S$$has the value View Question for the scalar field$$u = {{{x^2}} \over 2} + {{{y^2}} \over 3},\,\,$$the magnitude of the gradient at the point$$(1,
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A fair coin is tossed $$3$$ times in succession. If the first toss produces a head, then the probability of getting exac
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If $$P$$ and $$Q$$ are two random events, then which of the following is true?
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The solution of the first order differential equation $$\mathop x\limits^ \bullet \left( t \right) = - 3\,x\left( t \r View Question For the equation$$\,\,\mathop x\limits^{ \bullet \bullet } \left( t \right) + 3\mathop x\limits^ \bullet \left( t \ri
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The conduction loss versus device current characteristic of a power $$MOSFET$$ is best approximated by
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The figure shows the voltage across a power semiconductor device and the current through the device during a switching t
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An electronic switch $$S$$ is required to block voltages of either polarity during its OFF state as shown in figure (a).
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A three - phase diode bridge rectifier is fed from a $$400$$ $$V$$ $$RMS$$. $$50$$ $$Hz$$, three $$-$$ phase $$AC$$ sour
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Consider a phase $$-$$ controlled converter shown in figure The thyristor is fired at an angle $$\alpha$$ in every posi
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The given figure shows a step $$-$$ down chopper switched at $$1$$ $$KHz$$ with a duty ratio $$D = 0.5.$$ The peak - pea
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The output voltage waveform of a three - phase square-wave inverter contains
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The insulation strength of an EHV transmission line is mainly governed by
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At an industrial sub-station with a $$4$$ $$MW$$ load, a capacitor of $$2$$ MVAR is installed to maintain the load power
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A load centre is at an equidistant from the two thermal generating stations $${G_1}$$ and $${G_2}$$ as shown in figure.
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A generator with constant 1.0 p.u. terminal voltage supplies power through a step-up transformer of 0.12 p.u. reactance
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At a $$220$$ kV substation of a power system, it is given that the three-phase fault level is $$4000$$ MVA and single-li
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The parameters of transposed overhead transmission line are given as: self reactance $${X_s} = 0.4\,\,\Omega /km$$ and M
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At a $$220$$ kV substation of a power system, it is given that the three-phase fault level is $$4000$$ MVA and single-li
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The network shown in the given figure has impedances in p.u. as indicated. The diagonal element $$Y22$$ of the bus admit
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High Voltage DC (HVDC) transmission is mainly used for
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The p.u. parameters for a $$500$$ MVA machine on its own base are: Inertia, M = $$20$$ p.u.; reactance X = $$2$$ p.u. T
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The RMS value of the voltage v(t) = 3 + 4cos(3t) is
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The Fourier series for the function f(x) = sin2 x is
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The Laplace transform of a function f(t) is F(s) = $$\frac{5s^2+23s+6}{s\left(s^2+2s+2\right)}$$. As $$t\rightarrow\inft View Question For the equation$$\ddot x\left(t\right)+3\dot x\left(t\right)+2x\left(t\right)=5$$, the solution x(t) approaches which View Question If u(k) is the unit step and$$\delta\left(k\right)$$is the unit impulse function, the inverse z-transform of$$F\left(
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For the triangular waveform shown in the figure, the $$RMS$$ value of the voltage is equal to
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