GATE EE 2015 Set 2

## GATE EE

In the following circuit, the input voltage $${V_{in}}$$ is $$100\sin \left( {100\pi t} \right).$$ For $$100\pi RC = 50,

View Question
When a bipolar junction transistor is operating in the saturation mode, which one of the following statements is TRUE ab

View Question
In the following circuit, the transistor is in active mode and $${V_C} = 2V.$$ To get $${V_C} = 4V,$$ we replace $${R_C}

View Question
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $${V_i} = 2\sin \left( {2\pi \ti

View Question
The filters $${F_1}$$ and $${F_2}$$ having characteristics as shown in figures $$(a)$$ and $$(b)$$ are connected as show

View Question
The saturation voltage of the ideal op-amp shown below is $$ \pm 10\,V.$$ The output voltage $${V_O}$$ of the following

View Question
An open loop control system results in a response of $${e^{ - 2t}}\left( {\sin 5t + \cos 5t} \right)$$ for a unit impuls

View Question
The unit step response of a system with the transfer function $$G\left( s \right) = {{1 - 2s} \over {1 + s}}$$ is given

View Question
The following discrete-time equations result from the numerical integration of the differential equations of an un-dampe

View Question
An open loop transfer function $$G(s)$$ of system is $$G\left( s \right) = {k \over {s\left( {s + 1} \right)\left( {s +

View Question
Nyquist plots of two functions $${G_1}\left( s \right)$$ and $${G_2}\left( s \right)$$ are shown in figure.
Nyquist p

View Question
For the system governed by the set of equations:
$$$\eqalign{
& d{x_1}/dt = 2{x_1} + {x_2} + u \cr
& d{x_

View Question
Consider the following Sum of products expression, $$F.$$
$$F = ABC + \overline A \overline B C + A\overline B C + \ove

View Question
A Boolean function $$f\left( {A,B,C,D} \right) = \Pi \left( {1,5,12,15} \right)$$ is to be implemented using an $$8 \tim

View Question
In the following sequential circuit, the initial state (before the first clock pulse) of the circuit is $${Q_1}{Q_0}$$ $

View Question
The current i (in Ampere) in the 2 Ω resistor of the given network is _________.

View Question
A series RL circuit is excited at t = 0 by closing a switch as shown in the figure.
Assuming zero initial conditions, th

View Question
Find the transformer ratios a and b that the impedance (Zin) is resistive and equal 2.5 Ω
when the network is excited wi

View Question
In the given network $$V_1=100\angle0^\circ V$$, $$V_2=100\angle-120^\circ V$$, $$V_3=100\angle+120^\circ V$$. The phaso

View Question
Two identical coils each having inductance L are placed together on the same core. If an
overall inductance of $$\alpha$

View Question
A symmetrical square wave of 50% duty cycle
has amplitude of ±15V and time period of 0.4$$\mathrm\pi$$
ms. This square w

View Question
A capacitive voltage divider is used to measure the bus voltage Vbus in a high-voltage 50Hz AC system as shown in the fi

View Question
Match the following.

View Question
A 3-phase balanced load which has a power factor of 0.707 is connected to a balanced supply. The power consumed by the l

View Question
The coils of a wattmeter have resistances $$0.01$$ $$\Omega $$ and $$1000$$ $$\Omega $$; their inductances may be neglec

View Question
A 4-pole, separately excited, wave wound DC machine with negligible armature resistance is rated for 230 V and 5 kW at a

View Question
A shunt-connected DC motor operates at its rated terminal voltage. Its no-load speed is 200 radian/second. At its rated

View Question
With an armature voltage of 100 V and rated field winding voltage, the speed of a separately excited DC motor driving a

View Question
Two three-phase transformers are realized using single-phase transformers as shown in the figure.
The phase difference

View Question
A balanced (positive sequence) three-phase AC voltage source is connected to a balanced, star connected load through a s

View Question
A three-winding transformer is connected to an AC voltage source as shown in the figure. The number of turns are as foll

View Question
The figure shows the per-phase equivalent circuit of a two-pole three-phase induction motor operating at 50 Hz. The 'air

View Question
A 220 V, 3-phase, 4-pole, 50 Hz inductor motor of wound rotor type is supplied at rated voltage and frequency. The stato

View Question
A three-phase, $$11$$ $$kV,$$ $$50$$ $$Hz,$$ $$2$$ pole, star connected, cylindrical rotor synchronous motor is connecte

View Question
Match the following.

View Question
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +

View Question
Two semi-infinite dielectric regions are separated by a plane boundary at y = 0. The dielectric constants of region 1 (y

View Question
A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The

View Question
We have a set of $$3$$ linear equations in $$3$$ unknown. $$'X \equiv Y'$$ means $$X$$ and $$Y$$ are equivalent statemen

View Question
The volume enclosed by the surface $$f\left( {x,y} \right) = {e^x}$$ over the triangle bounded by the lines $$x=y;$$ $$x

View Question
Match the following.
List-$${\rm I}$$
$$P.$$ Stoke's Theorem
$$Q.$$ Gauss's Theorem
$$R.$$ Divergence Theorem
$$S.$$ Ca

View Question
Two coins $$R$$ and $$S$$ are tossed. The $$4$$ joint events $$\,\,\,\,\,\,{H_R}{H_S},\,\,\,\,{T_R}{T_S},\,\,\,\,{H_R}{T

View Question
A differential equation $$\,\,{{di} \over {dt}} - 0.21 = 0\,\,$$ is applicable over $$\,\, - 10 < t < 10.\,\,$$ If

View Question
Given $$f\left( z \right) = g\left( z \right) + h\left( z \right),$$ where $$f,g,h$$ are complex valued functions of a c

View Question
The Laplace transform of $$f\left( t \right) = 2\sqrt {t/\pi } $$$$\,\,\,\,\,$$ is$$\,\,\,\,\,$$ $${s^{ - 3/2}}.$$ The L

View Question
In the given rectifier, the delay angle of the thyristor $${T_1}$$ measured from the positive going zero crossing of $${

View Question
For the switching converter shown in the following figure, assume steady-state operation. Also assume that the component

View Question
A composite conductor consists of three conductors of radius $$R$$ each. The conductors are arranged as shown below. The

View Question
The synchronous generator shown in the figure is supplying active power to an infinite bus via two short, lossless trans

View Question
The incremental costs (in rupees/$$MWh$$) of operating two generating units are functions of their respective powers $${

View Question
A $$3$$-phase transformer rated for $$33 kV/11kV$$ is connected in delta/star as shown in figure. The current transforme

View Question
A $$3$$-bus power system network consists of $$3$$ transmission lines. The bus admittance matrix of the uncompensated sy

View Question
For linear time invariant systems, that are Bounded Input Bounded stable, which one of
the following statement is TRUE?

View Question
Consider a signal defined by $$$x\left(t\right)=\left\{\begin{array}{l}e^{j10t}\;\;\;for\;\left|t\right|\leq1\\0\;\;\;\;

View Question
The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Laplace transform of g(t)=$$\sqrt{1/\mathrm

View Question
The z-Transform of a sequence x[n] is given as X(z) = 2z+4−4/z+3/z2. If y[n] is the first difference of x[n], then Y(Z)

View Question