Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering (EE)]: Questions 36 - 40 of 249

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Question 36

Appeared in Year: 2018

Question Numeric Answer▾

Consider a non-singular square matrix A. If trace (A) = 4 and trace , the determinant of the matrix A is ________

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Question 37

Appeared in Year: 2017

Question Numeric Answer▾

Consider a function f (x, y, z) given by

The partial derivative of this function with respect to x at the point, and is ________

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Question 38

Appeared in Year: 2018

Question Numeric Answer▾

A three-phase, 900 kVA, 50 Hz transformer has primary (high voltage side) resistance per phase of and secondary (low voltage side) resistance per phase of . Iron loss of the transformer is 10 kW. The full load % efficiency of the transformer operated at unity power factor is ________ (upto 2 decimal places) .

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Question 39

Appeared in Year: 2021

Question MCQ▾

Let (– 1 – j) , (3 – j) , (3 + j) and (– 1 + j) be the vertices of a rectangle C in the complex plane. Assuming that C is traversed in counter-clockwise direction, the value of the contour integral is:

Choices

Choice (4)Response

a.

b.

c.

0

d.

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Question 40

Appeared in Year: 2017

Question Numeric Answer▾

In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is . If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.

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