GATE EE 2014 Set 3

## GATE EE

An operational-amplifier circuit is shown in the figure.
The output of the circuit for a given input $${V_i}$$ is

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A hysteresis type $$TTL$$ inverter is used to realize an oscillator in the circuit shown in the figure.
If the lower a

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The transfer characteristic of the Op-amp circuit shown in figure is

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The signal flow graph of a system is shown below. $$U(S)$$ is the input and $$C(S)$$ is the output.
Assuming $${h_1} =

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The block diagram of a system is shown in the figure
If the desired transfer function of the system is $${{C\left( s \

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A single-input single-output feedback system has forward transfer function $$𝐺(𝑠)$$ and feedback transfer function $$�

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The magnitude Bode plot of a network is shown in the figure
The maximum phase angle $${\phi _m}$$ and the correspondin

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Consider the system described by the following state space equations
$$$\eqalign{
& \left[ {\matrix{
{{x_1}}

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Two monoshot multivibrators, one positive edge triggered $$\left( {{M_1}} \right)$$ and another negative edge triggered

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A $$3$$-bit gray counter is used to control the output of the multiplexer as shown in the figure. The initial state of t

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A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where $$X$$ is the don't ca

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In $$8085A$$ microprocessor, the operation performed by the instruction $$LHLD$$ $${2100_H}$$ is

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The power delivered by the current source, in the figure, is ________ W.

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The Norton’s equivalent source in amperes as seen into the terminals X and Y is _______.

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A non-ideal voltage source VS has an internal impedance of ZS. If a purely resistive load is to
be chosen that maximizes

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A series RLC circuit is observed at two frequencies. At $$\omega_1$$ = 1k rad / s, we note that source
voltage $$V_1=100

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The line A to neutral voltage is $$10\angle15^\circ\;V$$ for a balanced three phase star-connected load
with phase seque

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The driving point impedance Z(s) for the circuit shown below is

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A periodic waveform observed across a load is represented by
$$$V\left( t \right) = \left\{ {\matrix{
{1 + \sin \,\o

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In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance C1 in microfarad is ____

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An $$LPF$$ wattmeter of power factor $$0.2$$ is having three voltage settings $$300V,$$ $$150V$$ and $$75V,$$ and two cu

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The two signals $$S1$$ and $$S2,$$ shown in figure, are applied to $$Y$$ and $$X$$ deflection plates of an oscilloscope

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The no-load speed of a 230 V separately excited dc motor is 1400 rpm. The armature
resistance drop and the brush drop ar

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A separately excited 300 V DC shunt motor under no load runs at 900 rpm drawing an
armature current of 2 A. The armature

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The mean thickness and variance of silicon steel laminations are 0.2 mm and 0.02
respectively. The varnish insulation is

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The parameters measured for a 220V/110V, 50 Hz, single-phase transformer are:
Self inductance of primary winding = 45 mH

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An open circuit test is performed on 50 Hz transformer, using variable frequency source and
keeping V/f ratio constant,

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The load shown in the figure absorbs 4 kW at a power factor of 0.89 lagging.
Assuming the transformer to be ideal, the

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A single phase induction motor is provided with capacitor and centrifugal switch in series
with auxiliary winding. The s

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The torque-speed characteristics of motor ($$T_M$$) and load ($$T_L$$) for two cases are shown in the
figures (a) and (b

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In a synchronous machine, hunting is predominantly damped by

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A non-salient pole synchronous generator having synchronous reactance of $$0.8$$ $$pu$$ is supplying $$1$$ $$pu$$ power

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A hollow metallic sphere of radius r is kept at potential of 1 Volt. The total electric flux
coming out of the concentri

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A perfectly conducting metal plate is placed in x-y plane in a right handed coordinate system.
A charge of $$+32{\mathrm

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$$A = \left[ {\matrix{
p & q \cr
r & s \cr
} } \right];B = \left[ {\matrix{
{{p^2} + {q^2}} &

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A particle, starting from origin at $$t=0$$ $$s,$$ is traveling along $$x$$-axis with velocity $$v = {\pi \over 2}\cos

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Let $$\,\,\nabla .\left( {fV} \right) = {x^2}y + {y^2}z + {z^2}x,\,\,$$ where $$f$$ and $$V$$ are scalar and vector fiel

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Lifetime of an electric bulb is a random variable with density $$f\left( x \right) = k{x^2},$$ where $$x$$ is measured

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The function $$f\left( x \right) = {e^x} - 1\,\,$$ is to be solved using Newton $$-$$ Raphson method. If the initial val

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Integration of the complex function $$f\left( z \right) = {{{z^2}} \over {{z^2} - 1}},$$ in the counterclockwise directi

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A three-phase fully controlled bridge converter is fed through star-delta transformer as shown in the figure.
The conv

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A diode circuit feeds an ideal inductor as shown in the figure. Given $${V_s} = 100\,\,\sin \,\left( {\omega t} \right)V

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A single - phase voltage source inverter shown in figure is feeding power to load. The triggering pulses of the devices

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In a long transmission line with $$r, l, g$$ and $$𝑐$$ are the resistance, inductance, shunt conductance and capacitanc

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For a $$400$$ $$km$$ long transmission line, the series impedance is $$(0.0 + j0.5)$$ $$\Omega /km$$ and the shunt admit

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The complex power consumed by a constant-voltage load is given by $$\left( {{P_1} + {J_{q1}}} \right).\,\,$$ Where, $$\,

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The figure shows the single line diagram of a single machine infinite bus system.
The inertia constant of the synchron

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For a fully transposed transmission line

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A 183-bus power system has 150PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newt

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A function f(t) is shown in the figure.
The Fourier transform F($$\mathrm\omega$$) of f(t) is

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A signal is represented by $$$x\left(t\right)=\left\{\begin{array}{l}1\;\;\;\left|t\right|\;<\;1\\0\;\;\;\left|t\righ

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A differentiable non constant even function x(t) has a derivative y(t), and their respective
Fourier Transforms are X($$

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For the signal f(t) = 3 sin8$$\mathrm\pi$$t + 6sin12$$\mathrm\pi$$t + sin14$$\mathrm\pi$$t, the minimum sampling frequen

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A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The
resulting sample train is next

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A continuous-time LTI system with system function H($$\omega$$) has the following pole-zero plot.
For this system, which

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