GATE EE 1999

## GATE EE

As temperature is increased, the voltage across a diode carrying a constant current.

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The colour code of a $$1k\Omega $$ resistance is

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The mobility of an electron in a conductor expressed in terms of

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The enhancement type n-channel MOSFET is represented by the symbol

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The input voltage $${V_i}$$ in the circuit is a $$1$$ $$kHz$$ sine wave of $$1$$ $$V$$ amplitude. Assume ideal operation

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For the small signal $$BJT$$ amplifier shown in given figure. Determine at $$1$$ $$kHz$$ the following
$$(a)$$ $$\,\,

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The function corresponding to the Bode plot of Figure, is

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For a flip-flop formed from two $$NAND$$ gates as shown in figure. The unusable state corresponds to

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The logic function $$f = \overline {\left( {x.\overline y } \right) + \left( {\overline x .y} \right)} $$ is the same as

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The logic function $$F = AC + ABD + ACD$$ is to be realized using an $$8$$ to $$1$$ multiplexer shown in figure, using $

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For a dual $$ADC$$ type $$3\,{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyl

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For the circuit shown in Figure, the capacitance measured between terminals $$B$$ and $$Y$$ will be

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When a periodic triangular voltage peak amplitude $$1$$ $$V$$ and frequency $$0.5$$ $$Hz$$ is applied to a parallel comb

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When a resistor $$R$$ is connected to a current source, it consumes a power of $$18$$ $$W.$$ when the same $$R$$ is conn

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Currents $${{\rm I}_1},\,{{\rm I}_2}$$ and $${{\rm I}_3}$$ meet at a junction (node) in a circuit. All currents are mark

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Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents $${{\rm I}_1},\,{{\rm

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A rectangular voltage pulse of magnitude $$V$$ and duration $$T$$ is applied to a series combination of resistance $$R$$

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In the given circuit, the capacitor is initially charged to $$12$$ $$V. $$ Find the mathematical expression for the volt

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A series $$R-L-C$$ circuit when excited by a $$10$$ $$V$$ sinusoidal voltage source of variable frequency, exhibits reso

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The $$RMS$$ value of half $$-$$ wave rectified symmetrical square wave current of $$2A$$ is

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The current in the circuit shown in figure is

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A fixed capacitor of reactance –$$j0.02$$ $$\Omega $$ is connected in parallel across a series combination of a fixed in

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The voltage phasor of a circuit is $$10\angle {15^0}\,V$$ and the current phasor is $$2\,\,\angle - {45^0}A.$$ The acti

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Two $$100$$ $$\mu A$$ full scale $$PMMC$$ meters are employed to construct a $$10$$ $$V$$ and a $$100$$ $$V$$ full scale

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A current of $$\left[ {2 + \sqrt 2 \sin \left( {314t + 30} \right) + 2\sqrt 2 \cos \left( {952t + 45} \right)} \right]$$

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For the given circuit the internal resistance of the ammeters as well as that of the current coil of the wattmeter are z

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Electro dynamic type watt meters have large errors while measuring power in a.c circuits at low power factor conditions,

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The voltage phasor of a circuit is $$10\angle {15^ \circ }V$$ and the current phasor is $$2\angle - {45^ \circ }A.$$ Th

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For a dual $$ADC$$ type $$3\,\,{1 \over 2}$$ digit $$DVM$$, the reference voltage is $$100mV$$ and the first integration

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A 4-pole lap-wound DC generator has a developed power of P watts and voltage
of E volts. Two adjacent brushes of the mac

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A DC shunt motor is running at 1200 rmp, when excited with 220 V DC.
Neglecting the losses and saturation, the speed of

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A 10 kVA, 400 V/200 V, single phase transformer with a percentage resistance
of 3% and percentage reactance of 6% is sup

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The percentage resistance and percentage reactance of a 10 kVA, 400 V/200 V,
3-phase transformer are 2% and 10% respecti

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A 400V/100V, 10 kVA two-winding transformer is reconnected as an autotransformer
across a suitable voltage source. The m

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A 10 kVA, 400 V/200 V single-phase transformers with 10% impedance draws a
steady short circuit line current of

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The windings of a Q kVA, $$\frac{V_1}{V_2}$$
Volt, three-phase, Delta connected, core type
transformer are reconnected t

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Starting torque can be obtained in the case of a single phase induction motor
with identical main and auxiliary windings

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The following starting method for an induction motor is inferior view of the poor
starting torque per ampere of the line

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Higher synchronous reactance is preferred in the present day alternators,
because one can have

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A three phase alternator is wound with a 60 degree phase-spread armature
windings and develops 300 kVA. If the armature

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A separately excited $$DC$$ shunt motor is driving a fan load whose torque is proportional to the square of the speed. W

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Two single phase transformers $$A$$ and $$B$$ have the following parameters.
Transformer $$A$$: $$400V/200V,$$ $$10$$ $

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An electromagnetic field is radiated from

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A charge $$+Q$$ is uniformly distributed throughout the volume of a dielectric sphere of radius $$R$$ and dielectric con

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Two parallel wires separated by a distance $$'d'$$ are carrying a current $$'{\rm I}'$$ in the same direction. The magn

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If $$A = \left[ {\matrix{
1 & { - 2} & { - 1} \cr
2 & 3 & 1 \cr
0 & 5 & { - 2} \cr

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Find the eigen values and eigen vectors of the matrix $$\left[ {\matrix{
3 & { - 1} \cr
{ - 1} & 3 \cr

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Resonant Converter's are basically used to

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A three phase diode bridge is used to provide rectified output from a $$400V,$$ $$50$$ $$Hz,$$ $$3$$- phase supply to a

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A $$PWM$$ switching scheme is used with a three phase inverter to

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The load carrying capability of a long AC transmission line is

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Corona losses are minimized when

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An overhead line having a surge impedance of $$400$$$$\Omega $$ is connected in series with an underground cable having

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For a single phase overhead line having solid copper conductors of diameter $$1$$ cm, spaced $$60$$ cm between centers,

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A 3-phase, 11 kV, 50 Hz, 200 kW load has a power factor of 0.8 lag. A delta connected 3-phase capacitor is used to impro

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A single phase AC distributor supplies two single phase loads as shown in figure. The voltage drop from A to C is

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$$A$$ $$220$$ kV, $$20$$ km long, $$3$$-phase transmission line has the following $$A, B, C, D$$ constants. $$A=D=0.96$$

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A 66 kV, 3-phase, 50 Hz, 150 km long overhead transmission line is open circuited at the receiving end. Each conductor h

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A 6.6 kV, 50 Hz single core lead sheathed cable has the following data:
Conductor diameter: 1.5 cm, length: 4 km. Intern

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An industrial consumer has a daily load pattern of $$2000$$ $$kW$$, $$0.8$$ lag for $$12$$ Hrs. and $$1000$$ $$kW$$ $$UP

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Steady state stability of a power system is the ability of the power system to

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Determine the magnitudes of the symmetrical components ($${{{\rm I}_{R1}},\,{{\rm I}_{R2}}\,}$$ and $${{{\rm I}_{R0}}}$$

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Determine the required MVA rating of the circuit breaker CB for the system shown in given figure. Consider the grid as i

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Three sections of a feeder are provided with circuit breakers CB1, CB2, CB3, CB4, CB5 and CB6. For a fault F as indicate

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A rectangular current pulse of duration T and magnitude 1 has the Laplace transform

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