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GATE 2015 : Electrical Engineering (Set 2)

15 pages, 55 questions, 3 questions with responses, 3 total responses,

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GATE 2015 SET2 ELECTRICAL EE Q. 1 Q. 25 carry one mark each. Q.1 Given ( ) = ( ) + ( ), where , , are complex valued functions of a complex variable . Which one of the following statements is TRUE? (A) If (B) If (C) If (D) If Q.2 ( ) is differentiable at 0 , then ( ) and ( ) are also differentiable at 0 . ( ) and ( ) are differentiable at 0 , then ( ) is also differentiable at 0 . ( ) is continuous at 0 , then it is differentiable at 0 . ( ) is differentiable at 0 , then so are its real and imaginary parts. We have a set of 3 linear equations in 3 unknowns. means and are equivalent statements and means and 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. Which one of the following is TRUE? Q.3 (A) (C) (B) (D) Match the following. P. Stokes s Theorem Q. Gauss s Theorem R. Divergence Theorem S. Cauchy s Integral Theorem (A) P-2 Q-1 R-4 S-3 Q.4 Q.5 (B) P-4 Q-1 R-3 S-2 1. . = 2. ( ) = 0 3. ( . ) = . 4. ( ). = . (C) P-4 Q-3 R-1 S-2 The Laplace transform of ( ) = 2 is 3 2 . The Laplace transform of ( ) = 1 is (A) 3 5 2 2 Match the following. (B) 1 2 (C) 1 2 Instrument Type P. Permanent magnet moving coil Q. Moving iron connected through current transformer R. Rectifier S. Electrodynamometer (A) P-1 Q-2 R-1 S-3 EE (D) P-3 Q-4 R-2 S-1 (B) P-1 Q-3 R-1 S-2 (C) P-1 Q-2 R-3 S-3 (D) 3 2 Used for 1. DC Only 2. AC Only 3. AC and DC (D) P-3 Q-1 R-2 S-1 1/15

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