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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question In a synchronous machine, hunting is predominantly damped by

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question For a fully transposed transmission line

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

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

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

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

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

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

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

View Question