GATE EE 2012

## GATE EE

The $$i$$-v characteristics of the diode in the circuit given below are
$$$i = \left\{ {\matrix{
{{{v - 0.7} \over {5

View Question The voltage gain $${A_V}$$ of the circuit shown below is

View Question The circuit shown is a

View Question The feedback system shown below oscillates at $$2$$ rad/s when

View Question A system with transfer function $$\,G\left( s \right) = {{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left

View Question The transfer function of a compensator is given as $${G_c}\left( s \right) = {{s + a} \over {s + b}}$$
$${G_c}\left( s

View Question The transfer function of a compensator is given as $${G_c}\left( s \right) = {{s + a} \over {s + b}}$$
The phase of the

View Question The state variable description of an $$LTI$$ system is given by
$$$\left( {\matrix{
{\mathop {{x_1}}\limits^ \bullet

View Question In the sum of products function $$f\,\left( {X,\,Y,\,Z} \right) = \sum \left( {2,\,\,3,\,\,4,\,\,5} \right),$$ the prime

View Question The output $$Y$$ of a $$2$$ $$-$$ bit comparator is logic $$1$$ whenever the $$2$$-bit input $$A$$ is greater than the $

View Question Consider the given circuit. In this circuit, the race around

View Question The state transition diagram for the logic circuit shown is

View Question The impedance looking into nodes 1 and 2 in the given circuit is

View Question In the circuit shown below, the current through the inductor is

View Question If $$V_A-V_B=\;6\;V$$, then $$V_C-V_D$$ is

View Question Assuming both the voltage sources are in phase, the value of R for which maximum power is
transferred from circuit A to

View Question In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal
switch S is closed

View Question The average power delivered to an impedance $$\left(4-j3\right)$$ Ω by a current $$5\cos\left(100\mathrm{πt}+100\right)\

View Question A two phase load draws the following phase currents:
$$i_1\left(t\right)=I_m\sin\left(\omega t-\phi_1\right)$$,

View Question In the circuit shown, the three voltmeter readings are V1 = 220V, V2 = 122V , V3 = 136V.
The power factor of the load i

View Question In the circuit shown, the three voltmeter readings are V1 = 220V, V2 = 122V , V3 = 136V.
If RL=5 Ω , the approximate po

View Question With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following
were observed:

View Question With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following
were observed:

View Question A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $$(PMMC)$

View Question An analog voltmeter uses external multiplier settings. With a multiplier setting of $$20\,\,k\Omega ,$$ it reads $$440$$

View Question The bridge method commonly used for finding mutual inductance is

View Question For the circuit shown in the figure, the voltage and current expressions are
$$v\left( t \right) = {E_1}\sin \left( {\o

View Question A 220 V, 15 kW, 1000 rpm shunt motor with armature resistance of 0.25 Ω , has a rated line
current of 68 A and a rated

View Question A single phase 10 kVA, 50 Hz transformer with 1 kV primary winding draws 0.5 A and 55 W, at
rated voltage and frequency,

View Question The slip of an induction motor normally does not depend on

View Question The locked rotor current in a 3-phase, star connected 15 kW, 4-pole, 230 V, 50 Hz induction motor
at rated conditions is

View Question Given that $$A = \left[ {\matrix{
{ - 5} & { - 3} \cr
2 & 0 \cr
} } \right]$$ and $${\rm I} = \left[

View Question The maximum value of $$f\left( x \right) = {x^3} - 9{x^2} + 24x + 5$$ in the interval $$\left[ {1,6} \right]$$ is

View Question The direction of vector $$A$$ is radially outward from the origin, with $$\left| A \right| = K\,{r^n}$$ where $${r^2} =

View Question Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in the interval $$\left[ { - 1,1} \right].$$

View Question A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd

View Question With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solution of the differential equation, $$\,\

View Question If $$x\left[ N \right] = {\left( {1/3} \right)^{\left| n \right|}} - {\left( {1/2} \right)^n}\,u\left[ n \right],$$ then

View Question The unilateral Laplace transform of $$f(t)$$ is
$$\,{1 \over {{s^2} + s + 1}}.$$ The unilateral Laplace transform of $$

View Question Consider the differential equation
$${{{d^2}y\left( t \right)} \over {d{t^2}}} + 2{{dy\left( t \right)} \over {dt}} + y

View Question If $$x = \sqrt { - 1} ,\,\,$$ then the value of $${X^x}$$ is

View Question Given $$f\left( z \right) = {1 \over {z + 1}} - {2 \over {z + 3}}.$$ If $$C$$ is a counterclockwise path in the $$z$$-pl

View Question The typical ratio of latching current to holding current in a $$20$$ $$A$$ thyristor is

View Question A half-controlled single-phase bridge rectifier is supplying an $$R$$-$$L$$ load. It is operated at a firing angle $$α$$

View Question In the circuit shown, an ideal switch $$S$$ is operated at $$100$$ $$kHz$$ with a duty ratio of $$50%$$. Given that $$\D

View Question In the $$3$$-phase inverter circuit shown, the load is balanced and the gating scheme is $${180^ \circ }$$ -conduction m

View Question In the $$3$$-phase inverter circuit shown, the load is balanced and the gating scheme is $${180^ \circ }$$ -conduction m

View Question For the system shown below, SD1 and SD2 are complex power demands at bus $$1$$ and bus $$2$$ respectively. If $$\left| {

View Question The figure shows a two-generator system supplying a load of $${P_D} = 40\,MW,$$ connected at bus $$2.$$
The fuel cost

View Question A cylindrical rotor generator delivers $$0.5$$ pu power in the steady-state to an infinite bus through a transmission li

View Question The sequence components of the fault current are as follows:
$${{\rm I}_{positive}} = j1.5\,pu,\,\,{{\rm I}_{negative}}

View Question The bus admittance matrix of a three-bus three-line system is
$$y = j\left[ {\matrix{
{ - 13} & {10} & 5 \cr

View Question The input x(t) and output y(t) of a system are related as $$\int_{-\infty}^tx\left(\tau\right)\cos\left(3\tau\right)d\ta

View Question L et y[n] denote the convolution of h[n] and g[n], where $$h\left[n\right]=\left(1/2\right)^nu\left[n\right]$$ and g[n]

View Question The Fourier transform of a signal h(t) is $$H\left(j\omega\right)=\left(2\cos\omega\right)\left(\sin2\omega\right)/\omeg

View Question The unilateral Laplace transform of f(t) is
$$\frac1{s^2\;+\;s\;+\;1}$$. The unilateral Laplace transform of tf(t) is

View Question