GATE EE 2014 Set 1
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## GATE EE

The figure shows the circuit of a rectifier fed from a 230 V (rms), 50Hz sinusoidal voltage source. If we want to replac
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The magnitude of the mid-band voltage gain of the circuit shown in figure is (assuming $${h_{fe}}$$ of the transistor to
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Given the Op-amps in the figure of ideal, the output voltage $${V_0}$$ is
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In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the trans
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In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when
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In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature ter
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For the given system, it is desired that the system be stable. The minimum value of $$\alpha$$ for this condition is __
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The root locus of unity feedback system is shown in figure The closed loop transfer function of the system is
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The Bode magnitude plot of the transfer function $$G\left( s \right) = {{K\left( {1 + 0.5s} \right)\left( {1 + as} \righ View Question Which of the following logic circuits is a realization of the function$$F$$whose karnaugh map is shown in figure View Question A cascade of three identical modulo -$$5$$counters has an over all modulus of View Question An output device is interfaced with$$8$$bit microprocessor$$8085A.$$The interfacing circuit is shown in figure View Question The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three ci View Question C0 is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire ga View Question An incandescent lamp is marked 40W, 240V. If resistance at room temperature$$\left(26^\circ\mathrm C\right)\;\mathrm{is
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In the figure, the value of resistor R is $$\left(25+\frac{\mathrm I}2\right)\mathrm\Omega$$, where I is the current in
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A combination of 1μF capacitor with an initial voltage Vc(0) = −2V in series with a 100Ω resistor is connected to a 20 m
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The reading of voltmeter $$(rms)$$ in volts, for the circuit shown in the figure is ______.
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The dc current flowing in a circuit is measured by two ammeters, one PMMC and another electrodynamometer type, connected
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Power consumed by a balanced $$3$$-phase, $$3$$-wire load is measured by the two wattmeter method. The first wattmeter r
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In an oscilloscope screen, linear sweep is applied at the
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A 15kW, 230V dc shunt motor has armature circuit resistance of 0.4 $$\Omega$$ and field circuit resistance of 230 $$\Ome View Question For a specified input voltage and frequency, if the equivalent radius of the core of a transformer is reduced by half, t View Question The core loss of a single phase, 230/115 V, 50 Hz power transformer is measured from 230 V side by feeding the primary ( View Question An 8-pole, 3-phase, 50 Hz induction motor is operating at a speed of 700 rpm. The frequency of the rotor current of the View Question A 3 phase, 50 Hz, 6 pole induction motor has a rotor resistance of 0.1 Ω and reactance of 0.92 Ω. Neglect the voltage dr View Question A star connected 400 V, 50 Hz, 4 pole synchronous machine gave the following open circuit and short circuit test results View Question A three phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figu View Question The following four vector fields are given in cartesian coordinate system. The vector field which does not satisfy the p View Question A system matrix is given as follows$$$A = \left[ {\matrix{ 0 &amp; 1 &amp; { - 1} \cr { - 6} &amp; { - 11} &am View Question Given a system of equations $$x + 2y + 2z = {b_1}$$$ $$5x + y + 3z = {b_2}$$$Which of the following is true its solu View Question Let $$f\left( x \right) = x{e^{ - x}}.$$ The maximum value of the function in the interval $$\left( {0,\infty } \right) View Question The line integral of function$$F=yzi,$$in the counterclockwise direction, along the circle$${x^2} + {y^2} = 1$$at View Question A fair coin is tossed$$n$$times. The probability that the difference between the number of heads and tails is$$(n-3)$
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The solution for the differential equation $$\,\,{{{d^2}x} \over {d{t^2}}} = - 9x,\,\,$$ with initial conditions $$x(0 View Question Let$$S$$be the set of points in the complex plane corresponding to the unit circle.$$\left( {i.e.,\,\,S = \left\{ {z:
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Let $$X\left( s \right) = {{3s + 5} \over {{s^2} + 10s + 20}}$$ be the Laplace Transform of a signal $$x(t).$$ Then $$\ View Question Figure shows four electronic switches$$(i), (ii), (iii)$$and$$(iv).$$Which of the switches can block voltages of eit View Question The figure shows the circuit diagram of a rectifier. The load consists of a resistance$$10\,\Omega $$and an inductance View Question Figure (i) shows the circuit diagram of a chopper. The switch$$S$$in the circuit in figure (i) is switched such that t View Question In the figure shows on period of the output voltage of an inverter.$$\alpha $$should be chosen such that$${60^0} &lt;
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The undesirable property of an electrical insulating material is
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A two bus power system shown in figure supplies load of $$1.0+j0.5$$ $$p.u$$ The value of $${V_1}$$ in $$p.u$$ and $${ View Question A distribution feeder of$$1km$$length having resistance, but negligible reactance, is fed from both the ends by  View Question Three phase to ground fault takes place at locations$${F_1}$$and$${F_2}$$in the system shown in the figure. If the View Question A 2-bus system and corresponding zero sequence network are shown in the figure. The transformers T1 and T2 are connec View Question In an unbalanced three phase system phase current$${{\rm I}_a} = 1\angle \left( { - {{90}^0}} \right)\,\,pu,\,\,$$nega View Question The fuel cost functions of two power plants are Plant$${P_1}:\,{C_1} = 0.05\,Pg_1^2 + AP{g_1} + B$$Plant$${P_2}:\,{
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The over current relays for the line protection and loads connected at the buses are shown in the figure. The relays a
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x(t) is nonzero only for $$T_x\;&lt;\;t\;&lt;\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;&lt;\;t\;&lt;\;T View Question The function shown in the figure can be represented as View Question For a periodic square wave, which one of the following statements is TRUE? View Question Let f(t) be a continuous time signal and let F($$\omega$$) be its Fourier Transform defined by$$F\left(\omega\right)=\i
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Let $$X\left(z\right)=\frac1{1-z^{-3}}$$ be the Z–transform of a causal signal x[n]. Then, the values of x and x a
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