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GATE 2015 : Electrical Engineering (Set 1)

41 pages, 55 questions, 15 questions with responses, 18 total responses,

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GATE 2015 SET1 ELECTRICAL EE Q. 1 Q. 25 carry one mark each. Q.1 has probability density function ( ) as given below: A random variable + 0 ( )= If the expected value [ ] = 2/3, then Q.2 Q.4 [ < 0.5] is _____________. If a continuous function ( ) does not have a root in the interval [ , ], then which one of the following statements is TRUE? (A) (B) (C) (D) Q.3 0< <1 otherwise ( ( ( ( ) ) ) )/ ( ( ( ( )=0 )<0 )>0 ) 0 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 ________. Consider a function f = 1 is the unit vector in , where r is the distance from the origin and r r r2 the radial direction. The divergence of this function over a sphere of radius R, which includes the origin, is (A) 0 Q.5 (B) 2 (C) 4 (D) R When the Wheatstone bridge shown in the figure is used to find the value of resistor , the galvanometer G indicates zero current when 1 = 50 , 2 = 65 and 3 = 100 . If 3 is in Ohms? known with 5% tolerance on its nominal value of 100 , what is the range of R2 R1 G R3 RX V (A) [123.50, 136.50] (B) [125.89, 134.12] (C) [117.00, 143.00] (D) [120.25, 139.75] Q.6 EE 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 _______. 1/14

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