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GATE EE 2012

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE EE

The $$i$$-v characteristics of the diode in the circuit given below are $$$i = \...
The voltage gain $${A_V}$$ of the circuit shown below is <img class="question-im...
The circuit shown is a <img class="question-image" src="https://gateclass.static...
The feedback system shown below oscillates at $$2$$ rad/s when <img class="ques...
A system with transfer function $$\,G\left( s \right) = {{\left( {{s^2} + 9} \ri...
The transfer function of a compensator is given as $${G_c}\left( s \right) = {{s...
The transfer function of a compensator is given as $${G_c}\left( s \right) = {{s...
The state variable description of an $$LTI$$ system is given by $$$\left( {\mat...
In the sum of products function $$f\,\left( {X,\,Y,\,Z} \right) = \sum \left( {2...
The output $$Y$$ of a $$2$$ $$-$$ bit comparator is logic $$1$$ whenever the $$2...
Consider the given circuit. In this circuit, the race around <img class="questio...
The state transition diagram for the logic circuit shown is <img class="questio...
The impedance looking into nodes 1 and 2 in the given circuit is <img alt="gate ...
In the circuit shown below, the current through the inductor is <img alt="gate 2...
If $$V_A-V_B=\;6\;V$$, then $$V_C-V_D$$ is <img alt="gate 2012 electric-circuits...
Assuming both the voltage sources are in phase, the value of R for which maximum...
In the following figure, C<sub>1</sub> and C<sub>2</sub> are ideal capacitors. C...
The average power delivered to an impedance $$\left(4-j3\right)$$ Ω by a current...
A two phase load draws the following phase currents: $$i_1\left(t\right)...
In the circuit shown, the three voltmeter readings are V<sub>1</sub> = 220V, V<s...
In the circuit shown, the three voltmeter readings are V<sub>1</sub> = 220V, V<s...
With 10 V dc connected at port A in the linear nonreciprocal two-port network sh...
With 10 V dc connected at port A in the linear nonreciprocal two-port network sh...
A periodic voltage waveform observed on an oscilloscope across a load is shown. ...
An analog voltmeter uses external multiplier settings. With a multiplier setting...
The bridge method commonly used for finding mutual inductance is
For the circuit shown in the figure, the voltage and current expressions are <b...
A 220 V, 15 kW, 1000 rpm shunt motor with armature resistance of 0.25 Ω , has a ...
A single phase 10 kVA, 50 Hz transformer with 1 kV primary winding draws 0.5 A a...
The slip of an induction motor normally does not depend on
The locked rotor current in a 3-phase, star connected 15 kW, 4-pole, 230 V, 50 H...
Given that $$A = \left[ {\matrix{ { - 5} &amp; { - 3} \cr 2 &amp; 0 \cr...
The maximum value of $$f\left( x \right) = {x^3} - 9{x^2} + 24x + 5$$ in the int...
The direction of vector $$A$$ is radially outward from the origin, with $$\left|...
Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in th...
A fair coin is tossed till a head appears for the first time. The probability t...
With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solu...
If $$x\left[ N \right] = {\left( {1/3} \right)^{\left| n \right|}} - {\left( {1/...
The unilateral Laplace transform of $$f(t)$$ is <br>$$\,{1 \over {{s^2} + s + 1...
Consider the differential equation <br>$${{{d^2}y\left( t \right)} \over {d{t^2...
If $$x = \sqrt { - 1} ,\,\,$$ then the value of $${X^x}$$ is
Given $$f\left( z \right) = {1 \over {z + 1}} - {2 \over {z + 3}}.$$ If $$C$$ is...
The typical ratio of latching current to holding current in a $$20$$ $$A$$ thyri...
A half-controlled single-phase bridge rectifier is supplying an $$R$$-$$L$$ load...
In the circuit shown, an ideal switch $$S$$ is operated at $$100$$ $$kHz$$ with ...
In the $$3$$-phase inverter circuit shown, the load is balanced and the gating s...
In the $$3$$-phase inverter circuit shown, the load is balanced and the gating s...
For the system shown below, S<sub>D1</sub> and S<sub>D2</sub> are complex power ...
The figure shows a two-generator system supplying a load of $${P_D} = 40\,MW,$$ ...
A cylindrical rotor generator delivers $$0.5$$ pu power in the steady-state to a...
The sequence components of the fault current are as follows: <br>$${{\rm I}_{po...
The bus admittance matrix of a three-bus three-line system is <br>$$y = j\left[ ...
L et y[n] denote the convolution of h[n] and g[n], where $$h\left[n\right]=\left...
The input x(t) and output y(t) of a system are related as $$\int_{-\infty}^tx\le...
The Fourier transform of a signal h(t) is $$H\left(j\omega\right)=\left(2\cos\om...
The unilateral Laplace transform of f(t) is $$\frac1{s^2\;+\;s\;+\;1}$$. The uni...

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