GATE EE 2017 Set 1

## GATE EE

For the circuit shown in the figure below, assume that diodes $${D_1},\,{D_2}$$ and $${D_3}$$ are ideal.
The $$DC$$ co

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The circuit shown in the figure uses matched transistors with a thermal voltage $${V_T} = 25\,mV.$$ The base currents of

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The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will b

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For a system having transfer function $$G\left( s \right) = {{ - s + 1} \over {s + 1}},$$ a unit step input is applied a

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Let a causal $$LTI$$ system be characterized by the following differential equation, with initial rest condition
$${{{d^

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In the system whose signal flow graph is shown in the figure, $${{U_1}\left( s \right)}$$ and $${{U_2}\left( s \right)}$

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A closed loop system has the characteristic equation given by
$${s^3} + K{s^2} + \left( {K + 2} \right)s + 3 = 0.$$ For

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The transfer function of a system is given by $${{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}} = {{1 - s} \over

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Consider the unity feedback control system shown. The value of $$K$$ that results in a phase margin of the system to be

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The transfer function of the system $$Y\left( s \right)/U\left( s \right)$$ , whose state-space equations are given belo

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The Boolean expression $$AB + A\overline C + BC$$ simplifies to

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The logical gate implemented using the circuit shown below where $${V_1}$$ and $${V_2}$$ are inputs (with $$0$$ $$V$$ as

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The output expression for the Karnaugh map shown below is

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The power supplied by the 25 V source in the
figure shown below is ________W.

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The equivalent resistance between the terminals A and B is ______ Ω.

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In the circuit shown below, the maximum power transferred to the resistor R is _______ W.

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Two passive two-port networks are connected in cascade as shown in figure. A voltage source is
connected at port 1.
$$\

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The following measurements are obtained on a single phase load: $$V = 220 V$$ $$ \pm $$$$1$$%. $${\rm I}$$$$= 5.0$$ $$A

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The load shown in the figure is supplied by a $$400$$ $$V$$ (line-to-line) $$3$$-phase source ($$RYB$$ sequence). The lo

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The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time

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A separately excited DC generator supplies 150 A to a 145 V DC grid. The generator is running
at 800 RPM. The armature r

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A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field
circuit resistances are 0.4 Ω

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A three-phase, three winding $$\triangle$$ / $$\triangle$$ / Y (1.1 kV/6.6 kV/400 V) transformer is energized from AC
ma

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A 4 pole induction machine is working as an induction generator. The generator supply
frequency is 60 Hz. The rotor curr

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A 375W, 230 V, 50 Hz capacitor start single-phase induction motor has the following constants
for the main and auxiliary

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A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a
motor. The machine is operated

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Two parallel connected, three-phase, $$50Hz,$$ $$11kV,$$ star-connected synchronous machines $$A$$ and $$B,$$ are operat

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Consider an electron, a neutron and a proton initially at rest and placed along a straight line such
that the neutron is

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A solid iron cylinder is placed in a region containing a uniform magnetic field such that the
cylinder axis is parallel

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The magnitude of magnetic flux density (B) in micro Teslas ( µT ) at the center of a loop of wire
wound as a regular hex

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The matrix $$A = \left[ {\matrix{
{{3 \over 2}} & 0 & {{1 \over 2}} \cr
0 & { - 1} & 0 \cr

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A function $$f(x)$$ is defined as
$$f\left( x \right) = \left\{ {\matrix{
{{e^x},x < 1} \cr
{\ln x + a{x^2}

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Let $${\rm I} = c\int {\int {_Rx{y^2}dxdy,\,\,} } $$ where $$R$$ is the region shown in the figure and $$c = 6 \times {1

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Consider the differential equation $$\left( {{t^2} - 81} \right){{dy} \over {dt}} + 5ty = \sin \left( t \right)\,\,$$ w

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Consider the line integral $${\rm I} = \int\limits_c {\left( {{x^2} + i{y^2}} \right)dz,} $$ where $$z=x+iy.$$ The line

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For a complex number $$z,$$
$$\mathop {Lim}\limits_{z \to i} {{{z^2} + 1} \over {{z^3} + 2z - i\left( {{z^2} + 2} \righ

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For the power semiconductor devices $$IGBT, MOSFET,$$ Diode and Thyristor, which one of the following statements is TRUE

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The figure below shows an uncontrolled diode bridge rectifier supplied form a $$220$$ Z$$V,$$ $$50$$ $$Hz,$$ $$1$$-phase

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The input voltage $${V_{DC}}$$ of the buck-boost converter shown below varies from $$32$$ $$V$$ to $$72$$ $$V.$$ Assume

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In the converter circuit shown below, the switches are controlled such that the load voltage $${v_0}\left( t \right)$$ i

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A $$3$$-phase voltage source inverter is supplied from a $$600V$$ $$DC$$ source as shown in the figure below. For a star

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A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure
below. The instantaneous v

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A load is supplied by a $$230$$ $$V,$$ $$50$$ $$Hz$$ source. The active power $$P$$ and the reactive power $$Q$$ consume

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The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for e

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The positive, negative and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1

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A $$3$$-bus power system is shown in the figure below, where the diagonal elements of $$Y$$-bus matrix are: $${Y_{11}} =

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A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L

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The bus admittance matrix for a power system network is
$$$\left[ {\matrix{
{ - j39.9} & {j20} & {j20} \cr

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Consider the system with following input-output relation $$y\left[n\right]=\left(1+\left(-1\right)^n\right)x\left[n\righ

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Let $$z\left(t\right)=x\left(t\right)\ast y\left(t\right)$$, where "*" denotes convolution. Let C be a positive real-val

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Consider $$$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{arra

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Let the signal $$$x\left(t\right)=\sum_{k=-\infty}^{+\infty}\left(-1\right)^k\delta\left(t-\frac k{2000}\right)$$$ be pa

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