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 $${\rm
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The common emitter amplifier shown in the figure is biased using a $$1mA$$ ideal current source. The approximate base cu
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Assume that the threshold voltage of the $$N$$-channel $$MOSFET$$ shown in figure is $$0.75$$ $$V.$$ The output characte
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Assume that the threshold voltage of the $$N$$-channel $$MOSFET$$ shown in figure is $$0.75$$ $$V.$$ The output characte
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Consider the inverting amplifier, using an ideal operational amplifier shown in figure. The designer wishes to realize t
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In the given figure, if the input is a sinusoidal signal, the output-will appear as shown
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The typical frequency response of a two-stage direct coupled voltage amplifier is as shown in figure
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When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error o
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Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer functio
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When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error
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The gain margin of a unity feedback control system with the open loop transfer function $$G\left( s \right) = {{\left( {
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A system with zero initial conditions has the closed loop transfer function $$T\left( s \right) = {{{s^2} + 4} \over {\l
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In the $$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 $$1 r
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A state variable system $$\mathop X\limits^ \bullet \left( t \right) = \left( {\matrix{ 0 & 1 \cr 0 &
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A state variable system $$\mathop X\limits^ \bullet \left( t \right) = \left( {\matrix{ 0 & 1 \cr 0 &
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In the figure, as long as $${X_1} = 1$$ and $${X_2} = 1,$$ the output $$Q$$ remains
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The digital circuit shown in the figure works as a
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Select the circuit which will produce the given output $$Q$$ for the input signals $${X_1}$$ and $${X_2}$$ given in the
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A digital-to-analog converter with a full -scale output voltage of $$3.5$$ $$V$$ has a resolution close to $$14$$ $$m$$
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If $${X_1}$$ and $${X_2}$$ are the inputs to the circuit shown in the figure, the output $$Q$$ is
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The $$8085$$ assembly language instruction that stores the content of $$H$$ and $$L$$ registers into the memory location
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In the figure given below the value of $$R$$ is
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In the given Fig. the Thevenin's equivalent pair (voltage, impedence), as seen at the terminals $$P-Q$$, is given by
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In the Fig. given below, the initial capacitor voltage is zero. The switch is closed at $$t = 0.$$ the final steady-sta
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A coil of inductance $$10$$ $$H$$ resistance $$40\,\,\Omega $$ is connected as shown in Fig. After the switch $$S$$ has
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A coil of inductance $$10$$ $$H$$ resistance $$40\,\,\Omega $$ is connected as shown in Fig. After the switch $$S$$ has
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The circuit shown in the Fig. is in steady state, when the switch is closed at $$t=0.$$ Assuming that the inductance is
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The $$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 $$0.01$$$$\Omega
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A $$1000$$ $$V$$ $$DC$$ supply has two $$1-core$$ cables as its positive and negative leads: their insulation resistance
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A DC ammeter has a resistance of $$0.1$$$$\Omega $$ and its current range is $$0$$ – $$100A.$$ If the range is to be ext
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Two wattmeter's, which are connected to measure the total power on a three-phase system supplying a balanced load, read
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A $$PMMC$$ voltmeter is connected across a series combination of a $$DC$$ voltage source $${V_1} = 2V$$ and $$AC$$ volta
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The simultaneous application of signals $$x(t)$$ and $$y(t)$$ to the horizontal and vertical plates, respectively, of an
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A digital-to-analog converter with a full scale output voltage of $$3.5V$$ has resolution close to $$14mV.$$ It's bit si
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Two magnetic poles revolve around a stationary armature carrying two coils ($$c_1-c'_1$$ , $$c_2-c'_2$$ ) as shown in Fi
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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
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In relation to DC machines, match the following and choose the correct combination. Group-I(Performance variables) (P) A
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Which three-phase connection can be used in a transformer to introduce a phase difference of 30° between its output and
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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
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For an induction motor, operating at a slip 's', the ratio of gross power output to air gap power is equal to:
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Under no load condition, if the applied voltage to an induction motor is reduced from the rated voltage to half the rate
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A three-phase cage induction motor is started by direct-on-line (DOL) switching at the rated voltage. If the starting cu
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Assertion [a]: Under V/f control of induction motor, the maximum value of the developed torque remains constant over a w
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In a single phase induction motor driving a fan load, the reason for having a high resistance rotor is to achieve
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In relation to the synchronous machines, which one of the following statements is false?
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A $$1000$$ $$kVA,$$ $$6.6$$ $$kV,$$ $$3$$-phase star connected cylindrical pole synchronous generator has a synchronous
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A $$1000$$ $$kVA,$$ $$6.6$$ $$kV,$$ $$3$$-phase star connected cylindrical pole synchronous generator has a synchronous
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In the matrix equation $$PX=Q$$ which of the following is a necessary condition for the existence of atleast one solutio
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For the matrix $$P = \left[ {\matrix{ 3 & { - 2} & 2 \cr 0 & { - 2} & 1 \cr 0 & 0 &
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If $$R = \left[ {\matrix{ 1 & 0 & { - 1} \cr 2 & 1 & { - 1} \cr 2 & 3 & 2 \cr }
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For the function $$f\left( x \right) = {x^2}{e^{ - x}},$$ the maximum occurs when $$x$$ is equal to
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If $$S = \int\limits_1^\infty {{x^{ - 3}}dx} $$ then $$S$$ has the value
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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
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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
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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
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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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