GATE EE 1998
GATE EE
Show that the circuit given in fig. will work as an oscillator at $$f = {1 \over {2\pi RC}},$$ if $${R_1} = 2{R_2}$$
View Question In the circuit of figure $${R_s} = 2\,k\Omega ,$$ $${R_L} = 5\,k\Omega $$ For the op-amp $$A = {10^5},$$
$${R_i} = 100\,
View Question Match the following:
List - $${\rm I}$$ (Circuit)
List - $${\rm II}$$ (Functions)
$$(P)$$$$\,\,\,\,\,$$ High-pass fi
View Question One of the applications of current mirror is
View Question A $$NPN$$ Si transistor is meant for low-current audio amplification. Match is following characteristic against their va
View Question The state-space representation of a system is given by $$\left[ {\matrix{
{\mathop {{X_1}}\limits^ \bullet } \cr
View Question The phase lead compensation is used to
View Question The asymptotic magnitude Body plot of a system is given in Figure. Find the transfer function of the system analytically
View Question The number of roots on the equation $$2{s^4} + {s^3} + 3{s^2} + 5s + 7 = 0$$ that lie in the right half of $$S$$ plane i
View Question None of the poles of a linear control system lie in the right half of $$s$$-plane. For a bounded input, the output of th
View Question The output of a linear time invariant control system is $$c(t)$$ for a certain input $$r(t).$$ If $$r(t)$$ is modified b
View Question For block diagram shown in Figure $$C(s)/R(s)$$ is given by
View Question Match the following
View Question In a digital combinational circuit with $$4$$ inputs $$(A, B, C, D),$$ it is required to obtain an output of logical $$1
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 standard $$TTL$$ gates, the totem pole output stage is primarily used to
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 A sinusoidal source of voltage $$V$$ and frequency $$f$$ is connected to a series circuit of variables resistance, $$R$$
View Question Determine the impedance seen by the source $${V_s} = 24\angle {0^0}$$ in the network shown in Fig.
View Question A circuit consisting of a single resistor $$R$$ and an inductor $$L$$ in series is driven by a $$25$$ $$V$$ $$rms,$$ $$5
View Question A circuit with a resistor, inductor and capacitor in series is resonant at $${f_0}\,\,Hz.$$ If all the component values
View Question The switch in the following circuit, shown in Fig. has been connected to the $$12V$$ source for a long time. At $$t=0,$$
View Question Viewed from the terminals $$A, B$$ the following circuit shown in Figure can be reduced to an equivalent circuit of a si
View Question The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is
View Question In the circuit shown in Figure, it is desired to have a constant direct current $$i(t)$$ through the ideal inductor $$L.
View Question A d.c. voltmeter has a sensitivity of $$1000$$$$\Omega /volt.$$ When it measures half full scale in $$100$$ $$V$$ 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 $$12$$ $$V$$ at $$M$$ with the rage s
View Question In a $$50$$ $$KVA,$$ $$11$$ $$KV/400$$ $$V$$ transformers, the iron and copper losses are $$500$$ $$W$$ and $$600$$ $$W$
View Question A $$DC$$ shunt generator delivers $$60$$ $$KW$$ at $$240$$ $$V$$ and $$360$$ $$rpm.$$ The armature and field resistances
View Question A synchronous generator connected to an infinite bus is overexcited. Considering
only the reactive power, from the point
View Question The armature of a single phase alternator is completely wound with T single turn
coils distributed uniformly. The induce
View Question A 50 Hz transformer having equal hysteresis and eddy current losses at rated
excitation is operated at 45 Hz at 90% of i
View Question A 3-phase squirrel cage induction motor has a full load efficiency of 0.8 and a
maximum efficiency of 0.9. It is operate
View Question The efficiency of a 100 kVA transform is 0.98 at full as well as at half load. For
this transformer at full load the cop
View Question The magnetizing current in a transformer is rich in
View Question The laws of electromagnetic induction (Faraday's and Lenz's law) are summarized
in the following equation:
View Question Match the following
List-I (Test)
(A) No load and blocked rotor test
(B) Sumpner’s test
(C) Swinburn’s test
List-II (M
View Question A 240 V d.c. shunt motor with an armature resistance of 0.5 $$\Omega$$ has a full load
current of 40 A. Find the ratio o
View Question The laws of electromagnetic induction (Faraday's and Lenz's law) are summarized in the following equation
View Question An electron moves in the $$X$$-$$Y$$ plane with a speed of $${10^6}\,\,m/s.$$ Its velocity vector makes an angle of $${6
View Question 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 The Laplace transform of $$\,\left( {{t^2} - 2t} \right)\,u\left( {t - 1} \right)$$ is ______________.
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 A set of linear equations is represented by the matrix equations $$Ax=b.$$ The necessary condition for the existence of
View Question If $$A = \left[ {\matrix{
5 & 0 & 2 \cr
0 & 3 & 0 \cr
2 & 0 & 1 \cr
} } \right]
View Question If the vector $$\left[ {\matrix{
1 \cr
2 \cr
{ - 1} \cr
} } \right]$$ is an eigen vector of $$A = \left
View Question $$A = \left[ {\matrix{
2 & 0 & 0 & { - 1} \cr
0 & 1 & 0 & 0 \cr
0 & 0 & 3 &
View Question The uncontrolled electronic switch employed in power electronic converters is
View Question A $$3$$-phsae, fully controlled, converter is feeding power into a $$d.c.$$ load at a constant current of $$150A.$$ The
View Question When the firing angle $$\alpha $$ of a single phase, fully controlled rectifier feeding constant $$d.c.$$ current into a
View Question In a commutation circuit employed to turn off an $$SCR$$, Satisfactory turn-off is obtained when.
View Question The $$MOSFET$$ switch in its on - state may be considered equivalent to
View Question Series capacitive compensation in $$EHV$$ transmission lines is used to
View Question The reflection coefficient for the transmission line shown in figure at $$P$$ is
View Question A shunt reactor of $$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 $$10$$ $$MVA,$$ $$11$$ $$kV$$ 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
View Question