GATE EE 2002
GATE EE
Determine the transfer function $$\left( {{{{V_y}} \over {{V_x}}}} \right)$$ for the $$RC$$ network shown in figure $$(1
View Question The output voltage$$\left( {{V_0}} \right)$$ of the Schmitt trigger shown in figure swings between $$+15V$$ and $$–15V.$
View Question For the circuit shown in Figure, $${{\rm I}_E} = 1\,\,mA,\,\,\,\beta = 99$$ and $${V_{BE}} = 0.7\,\,V$$ determine
(a) C
View Question In the single phase diode bridge rectifier shown in the figure, the load resistor is $$R = 50\,\Omega .$$ The source vol
View Question A diode whose terminal characteristics are related as $${i_D} = {{\rm I}_S}\,{e^{{V \over {{V_T}}}}},\,$$ where $${{\rm
View Question The forward resistance of the diode shown in figure is $$5\Omega $$ and the remaining parameters are same as those of id
View Question The cut in voltage of both Zener diode $${D_z}$$ and diode $$D$$ shown in Figure is $$0.7$$ $$V,$$ while break down volt
View Question The transfer function of the system described by $${{{d^2}y} \over {d{t^2}}} + {{dy} \over {dt}} = {{du} \over {dt}} + 2
View Question Obtain a state variable representation of the system governed by the differential equation: $${{{d^2}y} \over {d{t^2}}}
View Question For the system
$$\mathop X\limits^ \bullet = \left[ {\matrix{
2 & 0 \cr
0 & 4 \cr
} } \right]X +
View Question For the system $$X = \left[ {\matrix{
2 & 3 \cr
0 & 5 \cr
} } \right]X + \left[ {\matrix{
1 \cr
View Question The state transition matrix for the system $$\mathop X\limits^ \bullet = AX\,\,$$ with initial state $$X(0)$$ is
View Question The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = {{2\left( {s + \alpha } \ri
View Question A unity feedback system has an open loop transfer function, $$G\left( s \right) = {K \over {{s^2}}}.$$ The root locus p
View Question When a program is being executed in an $$8085$$ microprocessor, its Program Counter contains
View Question The logic circuit used to generate the active low chip select $$(CS)$$ by an $$8085$$ microprocessor to address a periph
View Question The ripple counter shown in Fig. is made up negative edge triggered $$J$$-$$E$$ flips flops. The signal levels at $$J$$
View Question The frequency of the clock signal applied to the rising edge triggered $$D$$ flip-flop shown in Fig. is $$10$$ $$kHz.$$
View Question For the circuit shown in Fig. the Boolean expression for the output $$Y$$ in terms of inputs $$P,$$ $$Q,$$ $$R$$ and $$S
View Question An electrical network is fed by two $$ac$$ sources, as shown in Fig. Given that
$${Z_1} = \left( {1 - j} \right)\Omega
View Question The graph of an electrical network has $$N$$ nodes and $$B$$ branches. The number of links, $$L$$, with respect to the c
View Question In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from term
View Question Consider the circuit shown in Fig. If the frequency of the source is $$50$$ $$Hz,$$ then a value of $${t_0}$$ which resu
View Question A two $$-$$ port network, shown in Fig. is described by the following equations:
$$\eqalign{
& {{\rm I}_1} = {Y_{1
View Question A first order, low pass filter is given with $$R = 50\,\,\Omega $$ and $$C$$ $$ = 5\mu F.$$ What is the frequency at wh
View Question In the circuit shown in Fig. it is found that the input $$ac$$ voltage $$\left( {{V_i}} \right)$$ and current $$i$$ are
View Question A series $$R-L-C$$ circuit has $$R = 50\Omega ;$$ $$L=100$$ $$\mu H$$ and $$C = 1\,\,\mu F.$$ The lower half power freq
View Question In the circuit shown in Fig. what value of $$C$$ will cause a unity power factor at the $$ac$$ source?
View Question A constant current source is supplying $$10A$$ to a circuit shown in Fig. the switch $$S,$$ which is initially closed fo
View Question An $$11$$ $$V$$ pulse of $$10$$ $$µ$$s duration is applied to the circuit shown in Fig. Assuming that the capacitor is c
View Question Kelvin double bridge is best suited for the measurement of
View Question Two in-phase, 50Hz sinusoidal waveform of unit amplitude are fed into channel-1. and channel-2 respectively of an oscill
View Question The line to line input voltage to the $$3$$ phase, $$50$$ Hz, ac circuit shown in fig is $$100$$ $$V$$ $$r.m.s$$ Assumin
View Question A $$415$$ $$V,$$ $$2$$ pole, $$3$$ phase, $$50$$ $$Hz,$$ star connected, non-salient pole synchronous motor has synchron
View Question The flux per pole in a synchronous motor with the field circuit ON and the stator disconnected from the supply is found
View Question A single phase $$6300$$ $$kVA,$$ $$50$$ $$Hz,$$ $$3300V/400V$$ distribution transformer is connected between two $$50$$
View Question In a single phase $$3$$ winding transformer the turns ratio for primary: secondary: tertiary windings is $$20:4:1.$$ Wit
View Question A $$230V,$$ $$250$$ $$rpm.$$ $$100A$$ separately excited $$dc$$ motor has an armature resistance of $$0.5\,\Omega .$$ Th
View Question If a 400 V, 50 Hz, star connected, 3 phase squirrel cage induction motor is
operated from a 400 V, 75 Hz supply, the tor
View Question A 400V/200V/200V, 50 Hz three winding transformer is connected as shown in Figure. The reading of the voltmeter 'V' will
View Question A 1 kVA, 230V/100V, single phase, 50 Hz transformer having negligible winding
resistance and leakage inductance is opera
View Question A 200 V, 2000 rpm, 10A, separately excited d.c. motor has an armature resistance
of 2 $$\Omega$$. Rated d.c. voltage is
View Question A dc series motor fed from rated supply voltage is overloaded and its magnetic
circuit is saturated. The torque-speed ch
View Question Given a vector field $$\overrightarrow F ,$$ the divergence theorem states that
View Question The magnetic vector potential in a region is defined by $$\overrightarrow A = {e^{ - y}}\sin \left( x \right){\widehat
View Question Let $$Y(s)$$ be the Laplace transform of function $$y(t),$$ then the final value of the function is __________.
View Question Given a vector field $${\overrightarrow F ,}$$ the divergence theorem states that
View Question The determinant of the matrix $$\left[ {\matrix{
1 & 0 & 0 & 0 \cr
{100} & 1 & 0 & 0 \c
View Question Fig. $$(a)$$ shows an inverter circuit with a $$dc$$ source voltage $${V_{s}}$$. The semiconductor switches of the inver
View Question In fig, the ideal switch $$S$$ is switched on and off with a switching frequency $$f = 10 kHz.$$ The switching time peri
View Question In the chopper circuit shown in fig the input $$dc$$ voltage has a constant value $${{V_s}}$$. the output voltage $${{V_
View Question A step down chopper is operated in the continuous conduction mode in steady state with a constant duty ratio $$D.$$ If $
View Question In the single phase diode bridge rectifier shown in fig, the load resistor is
$$R = 50\Omega .$$ The source voltage is
View Question A three phase thyristor bridge rectifier is used in a $$HVDC$$ link. The firing angle $$\alpha $$ (as measured from the
View Question A six pulse thyristor rectifier bridge is connected to a balanced $$50Hz$$ three phase $$ac$$ source. Assuming that the
View Question A long wire composed of a smooth round conductor runs above and parallel to the ground (assumed to be a large conducting
View Question Two transposed $$3$$ phase lines run parallel to each other. The equation describing the voltage drop in both lines is
View Question A power system consists of 2 areas (Area 1 and Area 2) connected by a single tie line (figure). It is required to carry
View Question Consider a power system with three identical generators. The transmission losses are negligible. One generator ($$G1$$)
View Question Consider the problem of relay co-ordination for the distance relays $$R1$$ and $$R2$$ on adjacent lines of a transmissio
View Question A generator is connected to a transformer which feeds another transformer through a short feeder. The zero sequence impe
View Question A synchronous generator is to be connected to an infinite bus through a transmission line of reactance X = 0.2 pu, as sh
View Question A transmission line has a total series reactance of 0.2 pu. Reactive power compensation is applied at the midpoint of th
View Question A long lossless transmission line has a unity power factor (UPF) load at the receiving end and an ac voltage source at t
View Question Consider a long, two-wire line composed of solid round conductors. The radius of both conductors is $$0.25$$ cm and the
View Question A single input single output system with $$y$$ as output and $$u$$ as input, is described by
$$${{{d^2}y} \over {d{t^2}
View Question What is the $$rms$$ value of the voltage waveform shown in Fig?
View Question Fourier Series for the waveform, $$f(t)$$ shown in Fig. is
View Question $$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is
View Question Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is
View Question