GATE EE 2002
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GATE EE

The cut in voltage of both Zener diode $${D_z}$$ and diode $$D$$ shown in Figure is $$0.7$$ $$V,$$ while break down volt
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The forward resistance of the diode shown in figure is $$5\Omega $$ and the remaining parameters are same as those of id
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A diode whose terminal characteristics are related as $${i_D} = {{\rm I}_S}\,{e^{{V \over {{V_T}}}}},\,$$ where $${{\rm
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In the single phase diode bridge rectifier shown in the figure, the load resistor is $$R = 50\,\Omega .$$ The source vol
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For the circuit shown in Figure, $${{\rm I}_E} = 1\,\,mA,\,\,\,\beta = 99$$ and $${V_{BE}} = 0.7\,\,V$$ determine (a) C
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The output voltage$$\left( {{V_0}} \right)$$ of the Schmitt trigger shown in figure swings between $$+15V$$ and $$–15V.$
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Determine the transfer function $$\left( {{{{V_y}} \over {{V_x}}}} \right)$$ for the $$RC$$ network shown in figure $$(1
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The transfer function of the system described by $${{{d^2}y} \over {d{t^2}}} + {{dy} \over {dt}} = {{du} \over {dt}} + 2
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A unity feedback system has an open loop transfer function, $$G\left( s \right) = {K \over {{s^2}}}.$$ The root locus p
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The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = {{2\left( {s + \alpha } \ri
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The state transition matrix for the system $$\mathop X\limits^ \bullet = AX\,\,$$ with initial state $$X(0)$$ is
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For the system $$X = \left[ {\matrix{ 2 & 3 \cr 0 & 5 \cr } } \right]X + \left[ {\matrix{ 1 \cr
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For the system $$\mathop X\limits^ \bullet = \left[ {\matrix{ 2 & 0 \cr 0 & 4 \cr } } \right]X +
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Obtain a state variable representation of the system governed by the differential equation: $${{{d^2}y} \over {d{t^2}}}
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For the circuit shown in Fig. the Boolean expression for the output $$Y$$ in terms of inputs $$P,$$ $$Q,$$ $$R$$ and $$S
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The frequency of the clock signal applied to the rising edge triggered $$D$$ flip-flop shown in Fig. is $$10$$ $$kHz.$$
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The ripple counter shown in Fig. is made up negative edge triggered $$J$$-$$E$$ flips flops. The signal levels at $$J$$
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The logic circuit used to generate the active low chip select $$(CS)$$ by an $$8085$$ microprocessor to address a periph
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When a program is being executed in an $$8085$$ microprocessor, its Program Counter contains
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In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from term
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The graph of an electrical network has $$N$$ nodes and $$B$$ branches. The number of links, $$L$$, with respect to the c
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An electrical network is fed by two $$ac$$ sources, as shown in Fig. Given that $${Z_1} = \left( {1 - j} \right)\Omega
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Consider the circuit shown in Fig. If the frequency of the source is $$50$$ $$Hz,$$ then a value of $${t_0}$$ which resu
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An $$11$$ $$V$$ pulse of $$10$$ $$µ$$s duration is applied to the circuit shown in Fig. Assuming that the capacitor is c
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A constant current source is supplying $$10A$$ to a circuit shown in Fig. the switch $$S,$$ which is initially closed fo
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In the circuit shown in Fig. what value of $$C$$ will cause a unity power factor at the $$ac$$ source?
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A series $$R-L-C$$ circuit has $$R = 50\Omega ;$$ $$L=100$$ $$\mu H$$ and $$C = 1\,\,\mu F.$$ The lower half power freq
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A first order, low pass filter is given with $$R = 50\,\,\Omega $$ and $$C$$ $$ = 5\mu F.$$ What is the frequency at wh
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In the circuit shown in Fig. it is found that the input $$ac$$ voltage $$\left( {{V_i}} \right)$$ and current $$i$$ are
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A two $$-$$ port network, shown in Fig. is described by the following equations: $$\eqalign{ & {{\rm I}_1} = {Y_{1
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Kelvin double bridge is best suited for the measurement of
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The line to line input voltage to the $$3$$ phase, $$50$$ Hz, ac circuit shown in fig is $$100$$ $$V$$ $$r.m.s$$ Assumin
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Two in-phase, 50Hz sinusoidal waveform of unit amplitude are fed into channel-1. and channel-2 respectively of an oscill
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A dc series motor fed from rated supply voltage is overloaded and its magnetic circuit is saturated. The torque-speed ch
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A 200 V, 2000 rpm, 10A, separately excited d.c. motor has an armature resistance of 2 $$\Omega$$. Rated d.c. voltage is
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A 1 kVA, 230V/100V, single phase, 50 Hz transformer having negligible winding resistance and leakage inductance is opera
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A 400V/200V/200V, 50 Hz three winding transformer is connected as shown in Figure. The reading of the voltmeter 'V' will
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If a 400 V, 50 Hz, star connected, 3 phase squirrel cage induction motor is operated from a 400 V, 75 Hz supply, the tor
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The flux per pole in a synchronous motor with the field circuit ON and the stator disconnected from the supply is found
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A $$415$$ $$V,$$ $$2$$ pole, $$3$$ phase, $$50$$ $$Hz,$$ star connected, non-salient pole synchronous motor has synchron
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A $$230V,$$ $$250$$ $$rpm.$$ $$100A$$ separately excited $$dc$$ motor has an armature resistance of $$0.5\,\Omega .$$ Th
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In a single phase $$3$$ winding transformer the turns ratio for primary: secondary: tertiary windings is $$20:4:1.$$ Wit
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A single phase $$6300$$ $$kVA,$$ $$50$$ $$Hz,$$ $$3300V/400V$$ distribution transformer is connected between two $$50$$
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Given a vector field $$\overrightarrow F ,$$ the divergence theorem states that
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The magnetic vector potential in a region is defined by $$\overrightarrow A = {e^{ - y}}\sin \left( x \right){\widehat
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The determinant of the matrix $$\left[ {\matrix{ 1 & 0 & 0 & 0 \cr {100} & 1 & 0 & 0 \c
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Given a vector field $${\overrightarrow F ,}$$ the divergence theorem states that
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Let $$Y(s)$$ be the Laplace transform of function $$y(t),$$ then the final value of the function is __________.
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A six pulse thyristor rectifier bridge is connected to a balanced $$50Hz$$ three phase $$ac$$ source. Assuming that the
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A three phase thyristor bridge rectifier is used in a $$HVDC$$ link. The firing angle $$\alpha $$ (as measured from the
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In the single phase diode bridge rectifier shown in fig, the load resistor is $$R = 50\Omega .$$ The source voltage is
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A step down chopper is operated in the continuous conduction mode in steady state with a constant duty ratio $$D.$$ If $
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In the chopper circuit shown in fig the input $$dc$$ voltage has a constant value $${{V_s}}$$. the output voltage $${{V_
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In fig, the ideal switch $$S$$ is switched on and off with a switching frequency $$f = 10 kHz.$$ The switching time peri
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Fig. $$(a)$$ shows an inverter circuit with a $$dc$$ source voltage $${V_{s}}$$. The semiconductor switches of the inver
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Consider a long, two-wire line composed of solid round conductors. The radius of both conductors is $$0.25$$ cm and the
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A long wire composed of a smooth round conductor runs above and parallel to the ground (assumed to be a large conducting
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A long lossless transmission line has a unity power factor (UPF) load at the receiving end and an ac voltage source at t
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A transmission line has a total series reactance of 0.2 pu. Reactive power compensation is applied at the midpoint of th
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A synchronous generator is to be connected to an infinite bus through a transmission line of reactance X = 0.2 pu, as sh
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A generator is connected to a transformer which feeds another transformer through a short feeder. The zero sequence impe
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Consider the problem of relay co-ordination for the distance relays $$R1$$ and $$R2$$ on adjacent lines of a transmissio
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Consider a power system with three identical generators. The transmission losses are negligible. One generator ($$G1$$)
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A power system consists of 2 areas (Area 1 and Area 2) connected by a single tie line (figure). It is required to carry
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Two transposed $$3$$ phase lines run parallel to each other. The equation describing the voltage drop in both lines is
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Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is
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$$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is
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A single input single output system with $$y$$ as output and $$u$$ as input, is described by $$${{{d^2}y} \over {d{t^2}
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Fourier Series for the waveform, $$f(t)$$ shown in Fig. is
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What is the $$rms$$ value of the voltage waveform shown in Fig?
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