GATE EE 1998
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## GATE EE

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