GATE EE 2004
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GATE EE

The current through the zener diode in the given circuit is
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Assuming that the diodes are ideal in figure the current in the diode $${D_1}$$ is
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Two perfectly matched silicon transistors are connected as shown in figure. The value of the current $${\rm I}$$ is
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A bipolar junction transistor (BJT) is used as a power control switch by biasing it in the cutoff region (OFF state) or
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The value of $$R$$ for which the $$PMOS$$ transistor in Figure. $$Q$$ $$63$$ will be biased in linear region is
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In the active filter circuit shown in figure, if $$Q=1,$$ a pair of poles will be realized with $${\omega _0}$$ equal to
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The input resistance $${R_{IN}}\left( { = {V_x}/{I_x}} \right)$$ of the circuit in the figure is
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In the Schmitt trigger circuit shown in figure, if $${V_{CE}}\left( {sat} \right) = 0.1V,$$ the output logic low level $
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The transconductance $${g_m}$$ of the transistor shown in figure is $$10$$ $$mS.$$ The value of input resistance $${R_{i
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For a tachometer if $$\theta \left( t \right)$$ is the rotor displacement is radians, $$e\left( t \right)$$ is the outpu
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For the block diagram shown in figure, the transfer function $${{C\left( s \right)} \over {R\left( s \right)}}$$ is equa
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Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace
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Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace
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Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace
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The block diagram of a closed loop control system is given by figure. The values of $$K$$ and $$P$$ such that the system
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The unit impulse response of a second order under-damped system starting from rest is given by $$c\left( t \right) = 12.
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For the equation, $${s^3} - 4{s^2} + s + 6 = 0$$ the number of roots in the left half of $$s$$ plane will be
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A unity feedback system, having an open loop gain becomes stable when $$G\left( s \right)H\left( s \right) = {{K\left( {
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The Nyquist plot of loop transfer function $$G(s) H(s)$$ of a closed loop control system passes through the point $$(-1,
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In the system shown in figure, the input $$x(t)$$ $$=$$ $$sin$$ $$t.$$ In the steady-state, the response $$y(t)$$ will
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The open loop transfer function of a unity feedback control system is given as $$G\left( s \right) = {{as + 1} \over {{s
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The state variable description of a linear autonomous system is, $$\mathop X\limits^ \bullet = AX,\,\,$$ where $$X$$
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The simplified form of the Boolean expression $$Y = \left( {\overline A BC + D} \right)\left( {\overline A D + \overline
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A digital circuit which compares two numbers $${A_3}{A_2}{A_1}{A_0},\,\,{B_3}{B_2}{B_1}{B_0}$$ is shown in Fig. To get o
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The digital circuit using two inverters shown in figure will act as
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The digital circuit shown in figure generates a modified clock pulse at the output. Choose the correct output waveform f
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The voltage comparator shown in Fig. can be used in the analog-to-digital conversion as
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In Fig., the value of the source voltage is
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In Fig., the value of resistance $$R$$ in $$\Omega $$ is
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In Fig., $${R_a},\,\,{R_b},$$ and $${R_c}$$ are $$20\,\Omega ,\,\,10\,\Omega $$ and $$10\,\Omega $$ respectively. The re
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In figure, the capacitor initially has a charge of $$10$$ Coulomb. The current in the circuit one second after the switc
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The value of $$Z$$ in Fig., which is most appropriate to cause parallel resonance at $$500$$ $$Hz$$ is
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In Fig. the admittance values of the elements in Siemens are $${Y_R} = 0.5 + j0,$$ $${Y_L} = 0 - j\,1.5,$$ $${Y_C} =
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The $$Z$$ matrix of a $$2$$ $$-$$ port network is given by $$\left[ {\matrix{ {0.9} & {0.2} \cr {0.2} &
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A galvanometer with a full scale current of $$10$$ $$mA$$ has a resistance of $$1000$$$$\Omega $$. The multiplying power
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A moving iron ammeter produces a full scale torque of $$240$$ $$\,\mu Nm$$ with a deflection of $${120^ \circ }$$ at a c
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A moving coil of a meter has $$100$$ turns, and a length and depth of $$10$$ $$mm$$ and $$20$$ $$mm$$ respectively. It i
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The circuit in fig is used to measure the power consumed by the load. The current coil and the voltage coil of the watt
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A single-phase load is connected between $$R$$ and $$Y$$ terminals of a $$415$$ $$V,$$ symmetrical, $$3$$-phase, $$4$$-w
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A dc A-h meter is rated for 15 A, 250V. The meter constant is 14.4 A-sec/rev. The meter constant at rated voltage may be
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A $$50$$ $$Hz,$$ bar primary $$CT$$ has a secondary with $$500$$ turns. The secondary supplies $$5A$$ current into a pur
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The core flux in the $$CT$$ of above problem under the given operating condition is
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A $$CRO$$ probe has an impedance of $$500k\Omega $$ in parallel with a capacitance of $$10pF$$. The probe is used to mea
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The armature resistance of a permanent magnet dc motor is 0.8 $$\Omega$$. At no load, the motor draws 1.5 A from a suppl
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A 8 pole, DC generator has a simplex wave-wound armature containing 32 coils of 6 turns each. Its flux per pole is 0.06
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The resistance and reactance of a 100 kVA 11000|400 V, $$\triangle$$ - Y distribution transformer are 0.02 and 0.07 pu r
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A 500 kVA, 3-phase transformer has iron loses of 300 W and full load copper losses of 600 W. The percentage load at whic
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A 50 kVA, 3300/230 V single-phase transformers is connected as an autotransformer shown in figure. The nominal rating of
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The type of single-phase induction motor having the highest power factor at full load is
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The direction of rotation of a 3-phase induction motor is clockwise when it is supplied with 3-phase sinusoidal voltage
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For a linear electromagnetic circuit, the following statement is true.
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A 400 V, 15 kW, 4 pole, 50 Hz, Y-connected induction motor has full load slip of 4%. The output torque of the machine at
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A single-phase, 230 V, 50 Hz, 4 pole, capacitor-start induction motor has the following stand still impedances Main wind
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A rotating electrical machine having its self-inductances of both the stator and the rotor windings, independent of the
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For a given stepper motor, the following torque has the highest numerical value.
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The following motor definitely has a permanent magnet rotor
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Two $$3$$-phase, $$Y$$-connected alternators are to be paralleled to a set of common bus bars. The armature has a per ph
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The synchronous speed for the seventh space harmonic $$mmf$$ wave of a $$3$$-phase, $$8$$ pole, $$50$$ $$Hz$$ induction
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For a $$1.8$$ degree, $$2$$-phase bipolar stepper motor, the stepping rate is $$100$$ steps/second. The rotational speed
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A $$400$$ $$V,$$ $$50$$ $$kVA,$$ $$0.8$$ $$pf$$ leading delta connected, $$50$$ $$Hz$$ synchronous machine has a synchro
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A $$500$$ $$MW$$ $$3$$-phase $$Y$$-connected synchronous generator has a rated voltage of $$21.5kV$$ at $$0.85$$ $$pf.$$
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A hydraulic turbine having rated speed of $$250$$ $$rpm$$ is connected to a synchronous generator. In order to produce p
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A parallel plate capacitor is shown in Fig. It is made of two square metal plates of $$400$$ $$mm$$ side. The $$14$$ $$m
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The inductance of a long solenoid of length $$1000$$ $$mm$$ wound uniformly with $$3000$$ turns on a cylindrical paper t
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The area enclosed between the parabola $$y = {x^2}$$ and the straight line $$y=x$$ is _______.
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A bipolar junction transistor $$(BJT)$$ is used as a power control switch by biasing it in the cut-off region (OFF state
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The triggering circuit of a thyristor is shown in figure. The thyristor requires a gate current of $$10$$ $$mA,$$ for gu
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A $$MOSFET$$ rated for $$15 A,$$ carries a periodic current as shown in figure. The ON state resistance of the MOSFET is
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The circuit in figure shows a full-wave rectifier. The input voltage is $$230$$ $$V$$ $$(rms)$$ single-phase ac. The pea
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The circuit in figure shows a $$3$$ $$-$$ phase half $$-$$ wave rectifier. The source is a symmetrical, $$3$$ $$-$$ phas
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Figure shows a chopper. The device $${S_1}$$ is the main switching device. $${S_2}$$ is the auxiliary commutation device
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Figure shows a chopper operating from a $$100$$ $$V$$ $$dc$$ input. The duty ratio of the main switch $$S$$ is $$0.8.$$
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The triac circuit shown in figure controls the $$ac$$ output power to the resistive load. The peak power dissipation in
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Total instantaneous power supplied by a $$3$$-phase ac supply to a balanced $$R$$-$$L$$ load is
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The rated voltage of a $$3$$-phase power system is given as
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The phase sequence of the $$3$$-phase system shown in figure is
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A lightning stroke discharges impulse current of $$10$$ kA (peak) on a $$400$$ kV transmission line having surge impedan
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A $$800$$ $$kV$$ transmission line is having per phase line inductance of $$1.1$$ $$mH/km$$ and per phase line capacitan
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The generalized circuit constants of a $$3$$-phase, $$220$$ $$kV$$ rated voltage, medium length transmission line are $$
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A $$110$$ $$kV,$$ single core coaxial, XLPE insulated power cable delivering power at $$50$$ $$Hz,$$ has a capacitance o
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A 50 Hz, 4-pole, 500 MVA, 22 kV turbo-generator is delivering rated megavolt-amperes at 0.8 power factor. Suddenly a fau
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A $$3$$-phase generator rated at $$110$$ MVA, $$11$$ kV is connected through circuit breakers to a transformer. The g
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A 3-phase transmission line supplies $$\Delta - $$ connected load Z. The conductor $$'c'$$ of the line develops an open
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A 500 MVA, 50 Hz, 3-phase turbo-generator produces power at 22 kV. Generator is Y-connected and its neutral is solidly g
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The transmission line distance protection relay having the property of being inherently directional is
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In thermal power plants, the pressure in the working fluid cycle is developed by
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For harnessing low variable water heads, the suitable hydraulic turbine with high percentage of reaction and runner adju
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A new generator having $${E_g} = 1.4\,\angle {30^ \circ }\,$$ pu [ equivalent to ($$1.212 +j$$ $$0.70$$)pu ] and synchro
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The rms value of the resultant current in a wire which carries a dc current of 10 A and a sinusoidal alternating current
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In the system shown in Fig. the input $$x\left( t \right) = \sin t.$$ In the steady-state, the response $$y(t)$$ will be
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The $$rms$$ value of the periodic waveform given in Fig. is
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