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.$$The output characte View Question Consider the inverting amplifier, using an ideal operational amplifier shown in figure. The designer wishes to realize t View Question In the given figure, if the input is a sinusoidal signal, the output-will appear as shown View Question The typical frequency response of a two-stage direct coupled voltage amplifier is as shown in figure View Question When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error o View Question Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer functio View Question When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error View Question The gain margin of a unity feedback control system with the open loop transfer function$$G\left( s \right) = {{\left( {
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A system with zero initial conditions has the closed loop transfer function $$T\left( s \right) = {{{s^2} + 4} \over {\l View Question In the$$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}$$given in the View Question A digital-to-analog converter with a full -scale output voltage of$$3.5V$$has a resolution close to$$14m$$View Question If$${X_1}$$and$${X_2}$$are the inputs to the circuit shown in the figure, the output$$Q$$is View Question The$$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$$has View Question A coil of inductance$$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.$$Assuming that the inductance is View Question The$$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$$) as shown in Fi View Question A 50 kW dc shunt motor is loaded to draw rated armature current at any given speed. When driven (i) at half the rated sp View Question In relation to DC machines, match the following and choose the correct combination. Group-I(Performance variables) (P) A View Question Which three-phase connection can be used in a transformer to introduce a phase difference of 30° between its output and View Question On the torque/speed curve of induction motor shown in Fig, four points of operation are market as W, X, Y and Z. Which o View Question For an induction motor, operating at a slip 's', the ratio of gross power output to air gap power is equal to: View Question Under no load condition, if the applied voltage to an induction motor is reduced from the rated voltage to half the rate View Question A three-phase cage induction motor is started by direct-on-line (DOL) switching at the rated voltage. If the starting cu View Question Assertion [a]: Under V/f control of induction motor, the maximum value of the developed torque remains constant over a w View Question In a single phase induction motor driving a fan load, the reason for having a high resistance rotor is to achieve View Question In relation to the synchronous machines, which one of the following statements is false? View Question A$$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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If $$P$$ and $$Q$$ are two random events, then which of the following is true?
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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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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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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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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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