GATE EE 2008

## GATE EE

The equivalent circuits of a diode, during forward and reverse biased conditions are shown in figure.
(a)
(b)
If suc

View Question
In the voltage doubler circuit shown in figure, the switch $$' S '$$ is closed at $$t=0$$. Assuming diodes $${D_1}$$ &am

View Question
Two perfectly matched silicon transistors are connected as shown in the figure. Assuming the $$\beta $$ of the transisto

View Question
The block diagram of two types of half wave rectifiers are shown in figure. The transfer characteristics of the rectifie

View Question
A general filter circuit is shown in figure
If $${R_1} = {R_2} = {R_A}$$ and $${R_3} = {R_4} = {R_B},$$ the circuit ac

View Question
A general filter circuit is shown in figure
The output of the filter in above is given to the circuit shown in figure

View Question
A waveform generator circuit using $$OPAMPs$$ is shown in the figure. It produces a triangular wave at point $$'P'$$ wit

View Question
The truth of a monoshot shown in the figure is given in the table below:
Two monoshots, one positive edge triggered and

View Question
A function $$y(t)$$ satisfies the following differential equation : $${{dy\left( t \right)} \over {dt}} + y\left( t \rig

View Question
The transfer function of a system is given as $${{100} \over {{s^2} + 20s + 100}}.$$ The system is

View Question
The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}$$

View Question
Figure shows a feedback system where $$K>0$$
The range of $$k$$ for which system is stable will by given by

View Question
The asymptotic Bode magnitude plot of a minimum phase transfer function is shown in the figure:
This transfer function

View Question
The transfer function of two compensators are given below:
$${C_1} = {{10\left( {s + 1} \right)} \over {\left( {s + 10}

View Question
The state space equation of a system is described by $$\mathop X\limits^ \bullet = AX + BU,\,\,Y = Cx$$ where $$X$$ is

View Question
The state space equation of a system is described by $$\mathop X\limits^ \bullet = AX + BU,\,\,Y = Cx$$ where $$X$$ is

View Question
A $$3$$ line to $$8$$ line decoder, with active low outputs, is used to implement a $$3$$- variable Boolean function as

View Question
An input device is interfaced with Intel $$8085$$ $$A$$ microprocessor as memory mapped $${\rm I}/O,$$ the address of th

View Question
The contents (in Hexadecimal) of some of the memory locations in an $$8085A$$ based system are given below
The content

View Question
The Thevenin's equivalent of a circuit operating at $$\omega = 5\,\,rad/s\,\,{V_{oc}} = 3.71\angle - {15.9^ \circ }$$

View Question
Assuming ideal elements in the circuit shown below, the voltage $${V_{ab}}$$ will be

View Question
In the circuit shown in the figure, the value of the current $$i$$ will be given by

View Question
The number of chords in the graph of the given circuit will be

View Question
The time constant for the given circuit will be

View Question
The ac bridge shown in the figure is used to measure the impedance $$Z.$$ If the bridge is balanced for oscillator frequ

View Question
A bridge circuit is shown in the figure below. Which one of the sequence given below is most suitable for balancing the

View Question
Two Sinusoidal signal $$p\left( {{\omega _1}t} \right) = A\,\sin \omega t,$$ and $$q\left( {{\omega _2}t} \right)$$ are

View Question
Two $$8$$ $$A$$ $$D$$ $$C$$ $$s$$ one of single slope integrating type and other of successive approximation type. Take

View Question
A $$230V,$$ $$50Hz,$$ $$4$$ pole, single phase induction motor is rotating in the clockwise (forward) direction at a spe

View Question
A $$400$$ $$V,$$ $$50$$ $$Hz$$, $$4$$ pole, $$1400$$ $$rpm$$, star connected squirrel cage induction motor has the foll

View Question
A $$400$$ $$V,$$ $$50$$ $$Hz,$$ $$30$$ $$hp,$$ three-phase induction motor is drawing $$50$$ A current at $$0.8$$ power

View Question
A $$3$$-phase, $$440$$ $$V,$$ $$50$$ $$Hz,$$ $$4$$ pole, slip ring induction motor is feed from the rotor side through

View Question
A $$3$$-phase, $$440$$ $$V,$$ $$50$$ $$Hz,$$ $$4$$ pole, slip ring induction motor is feed from the rotor side through

View Question
Distributed winding and short chording employed in AC machines will result in

View Question
In a stepper motor, the detent torque means

View Question
A synchronous motor is connected to an infinite bus at $$1.0$$ $$p.u$$ voltage and draws $$0.6$$ $$pu$$ at unity power

View Question
A synchronous motor is connected to an infinite bus at $$1.0p.u$$ voltage and draws $$0.6$$ $$pu$$ at unity power facto

View Question
A $$240V$$ $$dc$$ shunt motor draws $$15A$$ while supplying the rated load at a speed of $$80$$ $$rad/s$$. The armatur

View Question
A $$240V$$ $$dc$$ shunt motor draws $$15A$$ while supplying the rated load at a speed of $$80$$ $$rad/s$$. The armatur

View Question
It is desired to measure parameters of $$230$$ $$V/115$$ $$V,$$ $$2$$ $$kVA$$, single-phase transformers. The following

View Question
Three single-phase transformers are connected to form a $$3$$-phase transformer bank. The transformers are connected in

View Question
The core of two-winding transformer is subjected to a magnetic flux variation as indicated in the figure.
The induce

View Question
A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross-sectional area of

View Question
A capacitor consists of two metal plates each $$500 \times 500\,\,m{m^2}$$ and spaced $$6$$ $$mm$$ apart. The space betw

View Question
Two point charges $${Q_1} = 10\,\,\mu C$$ and $${Q_2} = 20\,\,\mu C$$ are placed at coordinates $$(1,1,0)$$ and $$\left(

View Question
The characteristic equation of a $$3\,\, \times \,\,3$$ matrix $$P$$ is defined as
$$\alpha \left( \lambda \right) = \

View Question
If the rank of a $$5x6$$ matrix $$Q$$ is $$4$$ then which one of the following statements is correct?

View Question
$$A$$ is $$m$$ $$x$$ $$n$$ full rank matrix with $$m > n$$ and $${\rm I}$$ is an identity matrix. Let matrix $${A^ +

View Question
Let $$P$$ be $$2x2$$ real orthogonal matrix and $$\overline x $$ is a real vector $${\left[ {\matrix{
{{x_1}} & {

View Question
$$X$$ is uniformly distributed random variable that take values between $$0$$ and $$1.$$ The value of $$E\left( {{X^3}}

View Question
Equation $${e^x} - 1 = 0\,\,$$ is required to be solved using Newton's method with an initial guess $$\,\,{x_0} = - 1.\

View Question
A differential equation $${{dx} \over {dt}} = {e^{ - 2t}}\,\,u\left( t \right)\,\,$$ has to be solved using trapezoidal

View Question
Given $$X(z) = {z \over {{{(z - a)}^2}}}$$ with |z| > a, the residue of $$X(z){z^{n - 1}}$$ at z = a for $$n \ge 0$$

View Question
A single phase full bridge converter supplies a load drawing constant and ripple free load current. If the triggering an

View Question
A three phase fully controlled bridge converter is feeding a load drawing a constant and ripple free load current of $$1

View Question
In the circuit shown in the figure, the switch is operated at a duty cycle of $$0.5.$$ A large capacitor current is conn

View Question
A $$3$$ - phase voltage source Inverter is operated in $${180^ \circ }$$ conduction mode. Which one of the following sta

View Question
A single phase voltage source inverter is feeding a purely inductive load as shown in the figure.
The inverter is oper

View Question
A single - phase half controlled converter shown in the figure feeding power to highly inductive load. The converter is

View Question
A single phase fully controlled converter bridge is used for electrical braking of a separately excited $$dc$$ motor. Th

View Question
In the single phase voltage controller circuit shown in the figure, for what range of triggering angle $$\left( \alpha

View Question
An extra high voltage transmission line of length $$300$$ km can be approximate by a lossless line having propagation co

View Question
A lossless transmission line having Surge Impedance Loading $$(SIL)$$ of $$2280$$ $$MW.$$ A Series capacitive compensa

View Question
A lossless single machine infinite bus power system is shown below:
The synchronous generator transfers $$1.0$$ per un

View Question
A 3-phase transmission line is shown in figure:
Voltage drop across the transmission line is given by the following eq

View Question
Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.

View Question
Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.

View Question
Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.

View Question
A lossless power system has to serve a load of $$250$$ $$MW.$$ There are two generators ($$G1$$ and $$G2$$) in the syste

View Question
A two machine power system in shown below. Transmission line $$XY$$ has positive sequence impedance of $${Z_1}\Omega $$

View Question
Voltage phasors at the two terminals of a transmission line of length $$70$$ km have a magnitude of $$1.0$$ per unit bu

View Question
Let x(t) be a periodic signal with time period T. Let y(t) = x(t - t0) + x(t + t0) for some t0. The Fourier Series coeff

View Question
A function y(t) satisfies the following differential equation:$$$\frac{\operatorname dy\left(t\right)}{\operatorname dt}

View Question
Given X(z)=$$\frac z{\left(z-a\right)^2}$$ with $$\left|z\right|$$ > a, the residue of X(z)zn-1 at z = a for n $$\geq

View Question
A signal $${e^{ - \alpha t}}\,\sin \left( {\omega t} \right)$$ is the input to a real Linear Time Invariant system. Give

View Question
A signal $${e^{ - \alpha t}}\,\sin \left( {\omega t} \right)$$ is the input to a real Linear Time Invariant system. Give

View Question
The impulse response of a causal linear time-invariant system is given as $$h(t)$$. Now consider the following two state

View Question
A signal $$x\left( t \right) = \sin c\left( {\alpha t} \right)$$ where $$\alpha $$ is a real constant $$\left( {\sin \,c

View Question
The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}.$$

View Question
A system with input $$x(t)$$ and output $$y(t)$$ is defined by the input $$-$$ output relation:
$$y\left( t \right) = \

View Question