Name of the University : Indian Institute of Science Bangalore
Degree : Engineering
Exam : GATE Exam
Document Type : Model Question Paper
Name of the Subject : Electrical Engineering
Website : iisc.ernet.in
Download Sample Question Paper Set I : https://www.pdfquestion.in/uploads/7660-EESET1GATE2015.pdf
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IISC Electrical Engineering Model Paper
SET – 1
Q.1 A random variable x has probability density function f(x) as given below 0<to<10 otherwise
If the expected value =2/3, then [<0.5] is _____________.
Related : Indian Institute of Science Bangalore Electronics & Communication GATE Exam Question Paper : www.pdfquestion.in/7658.html
Q.2 If a continuous function ????(????) does not have a root in the interval [????,????], then which one of the following statements is TRUE?
(A) f(a). f(b)=0
(B) f(a). f(b)<0
(C) f(a). f(b)>0
(D) f(a) / f(b)=0
Q.3 If the sum of the diagonal elements of a 2×2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.
Q.4 Consider a function , where ris the distance from the origin and rˆ is the unit vector in the radial direction. The divergence of this function over a sphere of radius R, which includes the origin, is
(A) 0
(B) 2p
(C) 4p
(D) Rp
Q.5 When the Wheatstone bridge shown in the figure is used to find the value of resistor Rx, the galvanometer G indicates zero current when R1=50 O,R2=65 O and R3=100 O. If R3 is known with ±5% tolerance on its nominal value of 100 O , what is the range of Rx in Ohms?
(A) [123.50,136.50]
(B) [125.89,134.12]
(C) [117.00,143.00]
(D) [120.25,139.75]
Q.6 A (0-50 A) moving coil ammeter has a voltage drop of 0.1 V across its terminals at full scale deflection. The external shunt resistance (in milliohms) needed to extend its range to (0 – 500 A) is _______.
Q.7 Of the four characteristics given below, which are the major requirements for an instrumentation amplifier?
P. High common mode rejection ratio
Q. High input impedance
R. High linearity
S. High output impedance
(A) P, Q and R only
(B) P and R only
(C) P, Q and S only
(D) Q, R and S only
Q.8 In the following chopper, the duty ratio of switch S is 0.4. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the 5 V battery, under steady-state, is_____.
Q.10 The impulse response g(t) of a system, ????, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of ???? as shown in Figure (b)?
SET – 2
Q.1 Given f(z)= g(z)+f(z) where f,g,h are complex valued functions of a complex variable Z. Which one of the following statements is TRUE?
(A) If f(z) is differentiable at ????0, then ????(????) and h(Z) are also differentiable at Z0.
(B) If g(z) and h(????) are differentiable at ????0, then f(z) is also differentiable at Z0.
(C) If f(z) is continuous at Z0, then it is differentiable at Z0.
(D) If f(z) is differentiable at z0, then so are its real and imaginary parts.
Q.2 We have a set of 3 linear equations in 3 unknowns. x=y means X and Y are equivalent statements and X means X and Y are not equivalent statements.
P – There is a unique solution. Q – The equations are linearly independent. R – All eigenvalues of the coefficient matrix are nonzero. S – The determinant of the coefficient matrix is nonzero
Match the Following :
Instrument Type Used for P. Permanent magnet moving coil
1. DC Only Q. Moving iron connected through current transformer
2. AC Only R. Rectifier
3. AC and DC S. Electrodynamometer
(A) P-1 Q-2 R-1 S-3
(B) P-1 Q-3 R-1 S-2
(C) P-1 Q-2 R-3 S-3
(D) P-3 Q-1 R-2 S-1
Q.6 A 3-phase balanced load which has a power factor of 0.707 is connected to a balanced supply. The power consumed by the load is 5 kW. The power is measured by the two-wattmeter method. The readings of the two wattmeters are
(A) 3.94 kW and 1.06 kW
(B) 2.50 kW and 2.50 kW
(C) 5.00 kW and 0.00 kW
(D) 2.96 kW and 2.04 kW