GATE EE 1998
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GATE EE

Show that the circuit given in fig. will work as an oscillator at $$f = {1 \over {2\pi RC}},$$ if $${R_1} = 2{R_2}$$
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In the circuit of figure $${R_s} = 2\,k\Omega ,$$ $${R_L} = 5\,k\Omega $$ For the op-amp $$A = {10^5},$$ $${R_i} = 100\,
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Match the following: List - $${\rm I}$$ (Circuit) List - $${\rm II}$$ (Functions) $$(P)$$$$\,\,\,\,\,$$ High-pass fi
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One of the applications of current mirror is
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A $$NPN$$ Si transistor is meant for low-current audio amplification. Match is following characteristic against their va
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The state-space representation of a system is given by $$\left[ {\matrix{ {\mathop {{X_1}}\limits^ \bullet } \cr
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The phase lead compensation is used to
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The asymptotic magnitude Body plot of a system is given in Figure. Find the transfer function of the system analytically
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The number of roots on the equation $$2{s^4} + {s^3} + 3{s^2} + 5s + 7 = 0$$ that lie in the right half of $$S$$ plane i
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None of the poles of a linear control system lie in the right half of $$s$$-plane. For a bounded input, the output of th
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The output of a linear time invariant control system is $$c(t)$$ for a certain input $$r(t).$$ If $$r(t)$$ is modified b
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For block diagram shown in Figure $$C(s)/R(s)$$ is given by
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Match the following
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In a digital combinational circuit with $$4$$ inputs $$(A, B, C, D),$$ it is required to obtain an output of logical $$1
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The open collector outputs of two$$2$$-inputs $$NAND$$ gates are connected to a common pull up resistor. If the input to
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In standard $$TTL$$ gates, the totem pole output stage is primarily used to
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$$(a)$$ Construct the truth table for the circuit given in Figure $${Q_1},{Q_2}$$ and $${Q_3}$$ are outputs and the cloc
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A sinusoidal source of voltage $$V$$ and frequency $$f$$ is connected to a series circuit of variables resistance, $$R$$
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Determine the impedance seen by the source $${V_s} = 24\angle {0^0}$$ in the network shown in Fig.
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A circuit consisting of a single resistor $$R$$ and an inductor $$L$$ in series is driven by a $$25$$ $$V$$ $$rms,$$ $$5
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A circuit with a resistor, inductor and capacitor in series is resonant at $${f_0}\,\,Hz.$$ If all the component values
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The switch in the following circuit, shown in Fig. has been connected to the $$12V$$ source for a long time. At $$t=0,$$
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Viewed from the terminals $$A, B$$ the following circuit shown in Figure can be reduced to an equivalent circuit of a si
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The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is
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In the circuit shown in Figure, it is desired to have a constant direct current $$i(t)$$ through the ideal inductor $$L.
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A d.c. voltmeter has a sensitivity of $$1000$$$$\Omega /volt.$$ When it measures half full scale in $$100$$ $$V$$ range,
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A moving coil galvanometer is made into a d.c. ammeter by connecting
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A symmetrical $$400V,$$ $$3$$-$$\phi $$ supply is connected to the network shown in fig. The phase sequence is $$RYB.$$
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Fig. shows the electrostatic vertical deflection system of $$CRT$$. Given that $${V_A}$$ is the accelerating voltage, th
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The figure shows input attenuator of a multimeter. The meter reads full-scale with $$12$$ $$V$$ at $$M$$ with the rage s
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In a $$50$$ $$KVA,$$ $$11$$ $$KV/400$$ $$V$$ transformers, the iron and copper losses are $$500$$ $$W$$ and $$600$$ $$W$
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A $$DC$$ shunt generator delivers $$60$$ $$KW$$ at $$240$$ $$V$$ and $$360$$ $$rpm.$$ The armature and field resistances
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A synchronous generator connected to an infinite bus is overexcited. Considering only the reactive power, from the point
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The armature of a single phase alternator is completely wound with T single turn coils distributed uniformly. The induce
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A 50 Hz transformer having equal hysteresis and eddy current losses at rated excitation is operated at 45 Hz at 90% of i
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A 3-phase squirrel cage induction motor has a full load efficiency of 0.8 and a maximum efficiency of 0.9. It is operate
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The efficiency of a 100 kVA transform is 0.98 at full as well as at half load. For this transformer at full load the cop
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The magnetizing current in a transformer is rich in
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The laws of electromagnetic induction (Faraday's and Lenz's law) are summarized in the following equation:
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Match the following List-I (Test) (A) No load and blocked rotor test (B) Sumpner’s test (C) Swinburn’s test List-II (M
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A 240 V d.c. shunt motor with an armature resistance of 0.5 $$\Omega$$ has a full load current of 40 A. Find the ratio o
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The laws of electromagnetic induction (Faraday's and Lenz's law) are summarized in the following equation
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An electron moves in the $$X$$-$$Y$$ plane with a speed of $${10^6}\,\,m/s.$$ Its velocity vector makes an angle of $${6
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An infinite number of charges, each equal to $$'q'$$ are placed along the $$x=1,x=2, x=4, x=8, x=16$$ and so on, Find th
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The Laplace transform of $$\,\left( {{t^2} - 2t} \right)\,u\left( {t - 1} \right)$$ is ______________.
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The value of $$\,\,\,\int\limits_1^2 {{1 \over x}\,\,\,dx\,\,\,\,} $$ computed using simpson's rule with a step size of
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A set of linear equations is represented by the matrix equations $$Ax=b.$$ The necessary condition for the existence of
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If $$A = \left[ {\matrix{ 5 & 0 & 2 \cr 0 & 3 & 0 \cr 2 & 0 & 1 \cr } } \right]
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If the vector $$\left[ {\matrix{ 1 \cr 2 \cr { - 1} \cr } } \right]$$ is an eigen vector of $$A = \left
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$$A = \left[ {\matrix{ 2 & 0 & 0 & { - 1} \cr 0 & 1 & 0 & 0 \cr 0 & 0 & 3 &
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The uncontrolled electronic switch employed in power electronic converters is
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A $$3$$-phsae, fully controlled, converter is feeding power into a $$d.c.$$ load at a constant current of $$150A.$$ The
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When the firing angle $$\alpha $$ of a single phase, fully controlled rectifier feeding constant $$d.c.$$ current into a
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In a commutation circuit employed to turn off an $$SCR$$, Satisfactory turn-off is obtained when.
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The $$MOSFET$$ switch in its on - state may be considered equivalent to
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Series capacitive compensation in $$EHV$$ transmission lines is used to
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The reflection coefficient for the transmission line shown in figure at $$P$$ is
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A shunt reactor of $$100$$ MVAR is operated at $$98$$% of its rated voltage and $$96$$% of its rated frequency. The reac
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A cable has the following characteristics. $$L = 0.201\,\,\mu H/m\,\,$$ and $$\,C = 196.2\,pF/m.\,$$ The velocity of wav
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Each conductor of a $$33$$ $$kV,$$ $$3$$ phase system is suspended by a string of three similar insulators. The ratio of
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A power station consists of two synchronous generators A and B of ratings 250 MVA and 500 MVA with inertia constant 1.6
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An alternator is connected to an infinite bus as shown in figure. It delivers 1.0 p.u. current at 0.8 p.f lagging at V =
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For the network shown in figure the zero sequence reactances in p.u. are indicated. The zero sequence driving point reac
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In a power system, the fuel inputs per hour of plants $$1$$ and $$2$$ are given as $${F_1} = 0.20\,P_1^2 + 30\,{P_1} +
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The neutral of $$10$$ $$MVA,$$ $$11$$ $$kV$$ alternator is earthed through a resistance of $$5$$ ohms. The earth fault r
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Bulk power transmission over long HVDC lines are preferred, on account of
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The Laplace transform of $$\left(t^2\;-\;2t\right)u\left(t\;-\;1\right)$$ is
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