GATE EE 2004
GATE EE
In the Schmitt trigger circuit shown in figure, if $${V_{CE}}\left( {sat} \right) = 0.1V,$$ the output logic low level $
View Question The input resistance $${R_{IN}}\left( { = {V_x}/{I_x}} \right)$$ of the circuit in the figure is
View Question In the active filter circuit shown in figure, if $$Q=1,$$ a pair of poles will be realized with $${\omega _0}$$ equal to
View Question The transconductance $${g_m}$$ of the transistor shown in figure is $$10$$ $$mS.$$ The value of input resistance $${R_{i
View Question The value of $$R$$ for which the $$PMOS$$ transistor in Figure. $$Q$$ $$63$$ will be biased in linear region is
View Question A bipolar junction transistor (BJT) is used as a power control switch by biasing it in the cutoff region (OFF state) or
View Question Two perfectly matched silicon transistors are connected as shown in figure. The value of the current $${\rm I}$$ is
View Question Assuming that the diodes are ideal in figure the current in the diode $${D_1}$$ is
View Question The current through the zener diode in the given circuit is
View Question The state variable description of a linear autonomous system is, $$\mathop X\limits^ \bullet = AX,\,\,$$ where $$X$$
View Question The open loop transfer function of a unity feedback control system is given as $$G\left( s \right) = {{as + 1} \over {{s
View Question In the system shown in figure, the input $$x(t)$$ $$=$$ $$sin$$ $$t.$$ In the steady-state, the response $$y(t)$$ will
View Question The Nyquist plot of loop transfer function $$G(s) H(s)$$ of a closed loop control system passes through the point $$(-1,
View Question A unity feedback system, having an open loop gain becomes stable when $$G\left( s \right)H\left( s \right) = {{K\left( {
View Question For the equation, $${s^3} - 4{s^2} + s + 6 = 0$$ the number of roots in the left half of $$s$$ plane will be
View Question The unit impulse response of a second order under-damped system starting from rest is given by $$c\left( t \right) = 12.
View Question The block diagram of a closed loop control system is given by figure. The values of $$K$$ and $$P$$ such that the system
View Question Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace
View Question Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace
View Question Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace
View Question For the block diagram shown in figure, the transfer function $${{C\left( s \right)} \over {R\left( s \right)}}$$ is equa
View Question For a tachometer if $$\theta \left( t \right)$$ is the rotor displacement is radians, $$e\left( t \right)$$ is the outpu
View Question The voltage comparator shown in Fig. can be used in the analog-to-digital conversion as
View Question The digital circuit shown in figure generates a modified clock pulse at the output. Choose the correct output waveform f
View Question The digital circuit using two inverters shown in figure will act as
View Question A digital circuit which compares two numbers $${A_3}{A_2}{A_1}{A_0},\,\,{B_3}{B_2}{B_1}{B_0}$$ is shown in Fig. To get o
View Question The simplified form of the Boolean expression $$Y = \left( {\overline A BC + D} \right)\left( {\overline A D + \overline
View Question In Fig., the value of the source voltage is
View Question The $$Z$$ matrix of a $$2$$ $$-$$ port network is given by $$\left[ {\matrix{
{0.9} & {0.2} \cr
{0.2} &
View Question In Fig. the admittance values of the elements in Siemens are
$${Y_R} = 0.5 + j0,$$
$${Y_L} = 0 - j\,1.5,$$
$${Y_C} =
View Question The value of $$Z$$ in Fig., which is most appropriate to cause parallel resonance at $$500$$ $$Hz$$ is
View Question In figure, the capacitor initially has a charge of $$10$$ Coulomb. The current in the circuit one second after the switc
View Question In Fig., $${R_a},\,\,{R_b},$$ and $${R_c}$$ are $$20\,\Omega ,\,\,10\,\Omega $$ and $$10\,\Omega $$ respectively. The re
View Question In Fig., the value of resistance $$R$$ in $$\Omega $$ is
View Question A single-phase load is connected between $$R$$ and $$Y$$ terminals of a $$415$$ $$V,$$ symmetrical, $$3$$-phase, $$4$$-w
View Question A $$CRO$$ probe has an impedance of $$500k\Omega $$ in parallel with a capacitance of $$10pF$$. The probe is used to mea
View Question The core flux in the $$CT$$ of above problem under the given operating condition is
View Question A $$50$$ $$Hz,$$ bar primary $$CT$$ has a secondary with $$500$$ turns. The secondary supplies $$5A$$ current into a pur
View Question 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
View Question The circuit in fig is used to measure the power consumed by the load. The current coil and the voltage coil of the watt
View Question A moving coil of a meter has $$100$$ turns, and a length and depth of $$10$$ $$mm$$ and $$20$$ $$mm$$ respectively. It i
View Question A moving iron ammeter produces a full scale torque of $$240$$ $$\,\mu Nm$$ with a deflection of $${120^ \circ }$$ at a c
View Question A galvanometer with a full scale current of $$10$$ $$mA$$ has a resistance of $$1000$$$$\Omega $$. The multiplying power
View Question Two $$3$$-phase, $$Y$$-connected alternators are to be paralleled to a set of common bus bars. The armature has a per ph
View Question A hydraulic turbine having rated speed of $$250$$ $$rpm$$ is connected to a synchronous generator. In order to produce p
View Question A $$500$$ $$MW$$ $$3$$-phase $$Y$$-connected synchronous generator has a rated voltage of $$21.5kV$$ at $$0.85$$ $$pf.$$
View Question A $$400$$ $$V,$$ $$50$$ $$kVA,$$ $$0.8$$ $$pf$$ leading delta connected, $$50$$ $$Hz$$ synchronous machine has a synchro
View Question For a $$1.8$$ degree, $$2$$-phase bipolar stepper motor, the stepping rate is $$100$$ steps/second. The rotational speed
View Question The synchronous speed for the seventh space harmonic $$mmf$$ wave of a $$3$$-phase, $$8$$ pole, $$50$$ $$Hz$$ induction
View Question A rotating electrical machine having its self-inductances of both the stator and
the rotor windings, independent of the
View Question The following motor definitely has a permanent magnet rotor
View Question For a given stepper motor, the following torque has the highest numerical value.
View Question A single-phase, 230 V, 50 Hz, 4 pole, capacitor-start induction motor has the
following stand still impedances
Main wind
View Question 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
View Question For a linear electromagnetic circuit, the following statement is true.
View Question The direction of rotation of a 3-phase induction motor is clockwise when it is
supplied with 3-phase sinusoidal voltage
View Question The type of single-phase induction motor having the highest power factor at full
load is
View Question A 50 kVA, 3300/230 V single-phase transformers is connected as an
autotransformer shown in figure. The nominal rating of
View Question 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
View Question The resistance and reactance of a 100 kVA 11000|400 V, $$\triangle$$ - Y distribution
transformer are 0.02 and 0.07 pu r
View Question 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
View Question 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
View Question The inductance of a long solenoid of length $$1000$$ $$mm$$ wound uniformly with $$3000$$ turns on a cylindrical paper t
View Question A parallel plate capacitor is shown in Fig. It is made of two square metal plates of $$400$$ $$mm$$ side. The $$14$$ $$m
View Question The area enclosed between the parabola $$y = {x^2}$$ and the straight line $$y=x$$ is _______.
View Question The triac circuit shown in figure controls the $$ac$$ output power to the resistive load. The peak power dissipation in
View Question Figure shows a chopper operating from a $$100$$ $$V$$ $$dc$$ input. The duty ratio of the main switch $$S$$ is $$0.8.$$
View Question Figure shows a chopper. The device $${S_1}$$ is the main switching device. $${S_2}$$ is the auxiliary commutation device
View Question The circuit in figure shows a $$3$$ $$-$$ phase half $$-$$ wave rectifier. The source is a symmetrical, $$3$$ $$-$$ phas
View Question The circuit in figure shows a full-wave rectifier. The input voltage is $$230$$ $$V$$ $$(rms)$$ single-phase ac. The pea
View Question A $$MOSFET$$ rated for $$15 A,$$ carries a periodic current as shown in figure. The ON state resistance of the MOSFET is
View Question The triggering circuit of a thyristor is shown in figure. The thyristor requires a gate current of $$10$$ $$mA,$$ for gu
View Question A bipolar junction transistor $$(BJT)$$ is used as a power control switch by biasing it in the cut-off region (OFF state
View Question A 50 Hz, 4-pole, 500 MVA, 22 kV turbo-generator is delivering rated megavolt-amperes at 0.8 power factor. Suddenly a fau
View Question A $$110$$ $$kV,$$ single core coaxial, XLPE insulated power cable delivering power at $$50$$ $$Hz,$$ has a capacitance o
View Question The generalized circuit constants of a $$3$$-phase, $$220$$ $$kV$$ rated voltage, medium length transmission line are $$
View Question A $$800$$ $$kV$$ transmission line is having per phase line inductance of $$1.1$$ $$mH/km$$ and per phase line capacitan
View Question A lightning stroke discharges impulse current of $$10$$ kA (peak) on a $$400$$ kV transmission line having surge impedan
View Question The phase sequence of the $$3$$-phase system shown in figure is
View Question The rated voltage of a $$3$$-phase power system is given as
View Question Total instantaneous power supplied by a $$3$$-phase ac supply to a balanced $$R$$-$$L$$ load is
View Question A $$3$$-phase generator rated at $$110$$ MVA, $$11$$ kV is connected through circuit breakers to a transformer. The g
View Question A new generator having $${E_g} = 1.4\,\angle {30^ \circ }\,$$ pu [ equivalent to ($$1.212 +j$$ $$0.70$$)pu ] and synchro
View Question For harnessing low variable water heads, the suitable hydraulic turbine with high percentage of reaction and runner adju
View Question In thermal power plants, the pressure in the working fluid cycle is developed by
View Question The transmission line distance protection relay having the property of being inherently directional is
View Question A 500 MVA, 50 Hz, 3-phase turbo-generator produces power at 22 kV. Generator is Y-connected and its neutral is solidly g
View Question A 3-phase transmission line supplies $$\Delta - $$ connected load Z. The conductor $$'c'$$ of the line develops an open
View Question The $$rms$$ value of the periodic waveform given in Fig. is
View Question In the system shown in Fig. the input $$x\left( t \right) = \sin t.$$ In the steady-state, the response $$y(t)$$ will be
View Question The rms value of the resultant current in a wire which carries a dc current of 10 A and a sinusoidal alternating current
View Question