GATE EE 2009
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GATE EE

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