GATE EE 2008
GATE EE
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 waveform generator circuit using $$OPAMPs$$ is shown in the figure. It produces a triangular wave at point $$'P'$$ wit
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 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 The block diagram of two types of half wave rectifiers are shown in figure. The transfer characteristics of the rectifie
View Question Two perfectly matched silicon transistors are connected as shown in the figure. Assuming the $$\beta $$ of the transisto
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 The equivalent circuits of a diode, during forward and reverse biased conditions are shown in figure.
(a)
(b)
If suc
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 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 The transfer function of two compensators are given below:
$${C_1} = {{10\left( {s + 1} \right)} \over {\left( {s + 10}
View Question The asymptotic Bode magnitude plot of a minimum phase transfer function is shown in the figure:
This transfer function
View Question Figure shows a feedback system where $$K>0$$
The range of $$k$$ for which system is stable will by given by
View Question The transfer function of a system is given as $${{100} \over {{s^2} + 20s + 100}}.$$ The system is
View Question A function $$y(t)$$ satisfies the following differential equation : $${{dy\left( t \right)} \over {dt}} + y\left( t \rig
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 time constant for the given circuit will be
View Question The number of chords in the graph of the given circuit will be
View Question In the circuit shown in the figure, the value of the current $$i$$ will be given by
View Question Assuming ideal elements in the circuit shown below, the voltage $${V_{ab}}$$ will be
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 Two $$8$$ $$A$$ $$D$$ $$C$$ $$s$$ one of single slope integrating type and other of successive approximation type. Take
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 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 A $$230V,$$ $$50Hz,$$ $$4$$ pole, single phase induction motor is rotating in the clockwise (forward) direction at a spe
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 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 $$3$$-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 A $$400$$ $$V,$$ $$50$$ $$Hz,$$ $$30$$ $$hp,$$ three-phase induction motor is drawing $$50$$ A current at $$0.8$$ power
View Question A $$400$$ $$V,$$ $$50$$ $$Hz$$, $$4$$ pole, $$1400$$ $$rpm$$, star connected squirrel cage induction motor has the foll
View Question The core of two-winding transformer is subjected to a magnetic flux variation as indicated in the figure.
The induce
View Question Three single-phase transformers are connected to form a $$3$$-phase transformer bank. The transformers are connected in
View Question It is desired to measure parameters of $$230$$ $$V/115$$ $$V,$$ $$2$$ $$kVA$$, single-phase transformers. The following
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 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 $$\left(
View Question A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross-sectional area of
View Question Equation $${e^x} - 1 = 0\,\,$$ is required to be solved using Newton's method with an initial guess $$\,\,{x_0} = - 1.\
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 differential equation $${{dx} \over {dt}} = {e^{ - 2t}}\,\,u\left( t \right)\,\,$$ has to be solved using trapezoidal
View Question $$X$$ is uniformly distributed random variable that take values between $$0$$ and $$1.$$ The value of $$E\left( {{X^3}}
View Question Let $$P$$ be $$2x2$$ real orthogonal matrix and $$\overline x $$ is a real vector $${\left[ {\matrix{
{{x_1}} & {
View Question $$A$$ is $$m$$ $$x$$ $$n$$ full rank matrix with $$m > n$$ and $${\rm I}$$ is an identity matrix. Let matrix $${A^ +
View Question If the rank of a $$5x6$$ matrix $$Q$$ is $$4$$ then which one of the following statements is correct?
View Question The characteristic equation of a $$3\,\, \times \,\,3$$ matrix $$P$$ is defined as
$$\alpha \left( \lambda \right) = \
View Question In the single phase voltage controller circuit shown in the figure, for what range of triggering angle $$\left( \alpha
View Question A single phase fully controlled converter bridge is used for electrical braking of a separately excited $$dc$$ motor. Th
View Question A single - phase half controlled converter shown in the figure feeding power to highly inductive load. The converter is
View Question A single phase voltage source inverter is feeding a purely inductive load as shown in the figure.
The inverter is oper
View Question A $$3$$ - phase voltage source Inverter is operated in $${180^ \circ }$$ conduction mode. Which one of the following sta
View Question In the circuit shown in the figure, the switch is operated at a duty cycle of $$0.5.$$ A large capacitor current is conn
View Question A single phase full bridge converter supplies a load drawing constant and ripple free load current. If the triggering an
View Question A three phase fully controlled bridge converter is feeding a load drawing a constant and ripple free load current of $$1
View Question A lossless power system has to serve a load of $$250$$ $$MW.$$ There are two generators ($$G1$$ and $$G2$$) in the syste
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 $$\,{Z_{s1}} = {Z_{s2}} = 0.
View Question A 3-phase transmission line is shown in figure:
Voltage drop across the transmission line is given by the following eq
View Question A lossless single machine infinite bus power system is shown below:
The synchronous generator transfers $$1.0$$ per un
View Question A lossless transmission line having Surge Impedance Loading $$(SIL)$$ of $$2280$$ $$MW.$$ A Series capacitive compensa
View Question An extra high voltage transmission line of length $$300$$ km can be approximate by a lossless line having propagation co
View Question A two machine power system in shown below. Transmission line $$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$$ per unit bu
View Question A signal $${e^{ - \alpha t}}\,\sin \left( {\omega t} \right)$$ is the input to a real Linear Time Invariant system. Give
View Question The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}.$$
View Question A signal $$x\left( t \right) = \sin c\left( {\alpha t} \right)$$ where $$\alpha $$ is a real constant $$\left( {\sin \,c
View Question A system with input $$x(t)$$ and output $$y(t)$$ is defined by the input $$-$$ output relation:
$$y\left( t \right) = \
View Question The impulse response of a causal linear time-invariant system is given as $$h(t)$$. Now consider the following two state
View Question A signal $${e^{ - \alpha t}}\,\sin \left( {\omega t} \right)$$ is the input to a real Linear Time Invariant system. Give
View Question Given X(z)=$$\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 function y(t) satisfies the following differential equation:$$$\frac{\operatorname dy\left(t\right)}{\operatorname dt}
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
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