GATE EE 2009
GATE EE
The following circuit has $$R = 10k\Omega ,\,C = 10\mu F.$$ The input voltage is a sinusoidal at $$50HZ$$ with an $$RMS$
View Question An ideal op-amp circuit and its input waveform are shown in the figures. The $$o/p$$ wave form of this circuit will be
View Question The following circuit has a voltage source $${V_s}$$ as shown in the graph. The current through the circuit is also show
View Question The nature of feedback in the op-amp circuit shown is
View Question A system is described by the following state and output equations
$$${{d{x_1}\left( t \right)} \over {dt}} = - 3{x_1}\l
View Question Errors associated with each respective subsystem $$\,{G_1},\,{G_2}$$ and $${G_3}$$ are $${\varepsilon _1},\,\,{\varepsil
View Question The first two rows of Routh's tabulation of a third order equation are as follows
$$$\left. {\matrix{
{{s^3}} \cr
View Question The unit - step response of a unity feedback system with open loop transfer function $$G\left( s \right) = {K \over {\le
View Question The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = \left( {{e^{ - 0.1s}}} \rig
View Question The polar plot of an open loop stable system is shown below. The closed loop systems is
View Question The asymptotic approximation of the log magnitude vs frequency plot of a system containing only real poles and zeros is
View Question A system is described by the following state and output equations
$$${{d{x_1}\left( t \right)} \over {dt}} = - 3{x_1}\l
View Question The complete set of only those Logic Gates designated as Universal gates is
View Question In $$8085$$ microprocessor, the contents of the Accumulator, after the following instructions are executed will become
$
View Question For the circuit shown, find out the current flowing through the $$2\Omega $$ resistance. Also identify the changes to b
View Question The current through the $$2\,\,k\Omega $$ resistance in the circuit shown in Fig. is
View Question The equivalent capacitance of the input loop of the circuit shown in below
View Question
For the circuit given above, the Thevenin's resistance across the terminals $$A$$ and $$B$$ is
View Question
For the circuit given above, the Thevenin's voltage across the terminals $$A$$ and $$B$$ is
View Question In the Fig. shown, all elements used are ideal. For time t<0, S1 remained closed and S2 open. At t=0, S1 is opened an
View Question How many 200 W/200 V incandescent lamps connected in series would consume the same total power as a single 100 W/200 V i
View Question An average-reading digital multimeter reads $$10V$$ when fed with a triangular wave, symmetric about the time axis. For
View Question The figure shows a three phase delta connected load supplied from a $$400V,$$ $$50Hz,$$ $$3\phi $$ balanced source. The
View Question The two inputs of a $$CRO$$ are fed with two stationary periodic signals. In the $$X$$-$$Y$$ mode, the screen shows a fi
View Question A $$200$$ $$V,$$ $$50$$ $$Hz,$$ single-phase induction motor has the following connection diagram and winding orientatio
View Question A field excitation of $$20A$$ in a certain alternator results in a armature current of $$400$$ $$A$$ in short circuit an
View Question Figure shows the extended view of a $$2$$ pole $$dc$$ machine with $$10$$ armature conductors. Normal brush positions a
View Question The single phase, $$50$$ $$Hz$$ iron core transformer in the circuit has both the vertical arms of cross sectional area
View Question
The figure above shows coil $$1$$ and $$2,$$ with dot markings as shown, having $$4000$$ and $$6000$$ turns respective
View Question
The figure above shows coil $$1$$ and $$2,$$ with dot markings as shown, having $$4000$$ and $$6000$$ turns respective
View Question
The star-delta transformer shown above is excited on the star side with balanced, $$4$$-wire, $$3$$-phase, sinusoidal
View Question
The star-delta transformer shown above is excited on the star side with balanced, $$4$$-wire, $$3$$-phase, sinusoidal
View Question The circuit diagram shows a two-winding, lossless transformer with no leakage flux, excited from a current source, $$i(t
View Question The circuit diagram shows a two-winding, lossless transformer with no leakage flux, excited from a current source, $$i(t
View Question $$$F\left(x,y\right)=\left(x^2\;+\;xy\right)\;{\widehat a}_x\;+\;\left(y^2\;+\;xy\right)\;{\widehat a}_y$$$. Its line in
View Question The trace and determinant of a $$2 \times 2$$ matrix are shown to be $$-2$$ and $$-35$$ respectively. Its eigen values a
View Question If $$(x, y)$$ is continuous function defined over $$\left( {x,y} \right) \in \left[ {0,1} \right] \times \left[ {0,1} \r
View Question $$F\left( {x,y} \right) = \left( {{x^2} + xy} \right)\,\widehat a{}_x + \left( {{y^2} + xy} \right)\,\widehat a{}_y.\,\,
View Question Assume for simplicity that $$N$$ people, all born in April (a month of $$30$$ days) are collected in a room, consider th
View Question Let $$\,{x^2} - 117 = 0.\,\,$$ The iterative steps for the solution using Newton -Raphson's method is given by
View Question An $$SCR$$ is considered to be a semi - controlled device because
View Question Match the switch arrangements on the top row to be steady $$-$$ state $$V$$ - $$I$$ characteristics on the lower row. Th
View Question In the chopper circuit shown, the main thyristor $$\left( {{T_M}} \right)$$ is operated at a duty ratio of $$0.8$$ which
View Question The Current Source Inverter shown in Figure is operated by alternately turning on thyristor pairs $$\left( {{T_1},\,\,{T
View Question The circuit shows an ideal diode connected to a pure inductor and is connected to a purely sinusoidal $$50$$ $$Hz$$ volt
View Question Out of the following plant categories
(i) Nuclear , (ii) Run-of-river, (iii) Pump Storage, (iv) Diesel
The base load po
View Question For a fixed value of complex power flow in a transmission line having a sending end voltage $$V$$, the real power loss w
View Question Match the items List-$${\rm I}$$ (To) with the items in List-$${\rm II}$$ (Use) and select the correct answer using the
View Question A $$500$$ $$MW,$$ $$21$$ $$kV,$$ $$50$$ $$Hz,$$ $$3$$-phase, $$2$$-pole synchronous generator having a rated $$p.f.=$$$$
View Question Three generators are feeding a load of $$100$$ $$MW$$. The details of the generators Rating, Efficiency and Regulation a
View Question Match the items in List-$$I$$ (Type of transmission line) with the items in List-$$II$$ (Type of distance relay preferr
View Question For the $${Y_{bus}}$$ matrix of a $$4$$-bus system given in per unit, the buses having shunt elements are
$$${Y_{BUS}} =
View Question A linear Time Invariant system with an impulse response $$h(t)$$ produces output $$y(t)$$ when input $$x(t)$$ is applied
View Question The $$z$$$$-$$ transform of a signal $$x\left[ n \right]$$ is given by $$4{z^{ - 3}} + 3{z^{ - 1}} + 2 - 6{z^2} + 2{z^3}
View Question The Fourier Series coefficients, of a periodic signal $$x\left( t \right),$$ expressed as $$x\left( t \right) = \sum {_{
View Question A cascade of 3 Linear Time Invariant systems is casual and unstable. From this, we conclude that
View Question