Engineering Mathematics-Vector Analysis [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 4 of 8

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Question 1

Appeared in Year: 2019

Question MCQ▾

Consider the line integral

The integral being taken in a counterclockwise direction over the closed curve C that forms the boundary of the region shown in the figure below. The region R is the area enclosed by the union of a rectangle and a semi-circle of radius . The line integral evaluates to

Counterclockwise Direction

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 2

Appeared in Year: 2015

Question MCQ▾

A Vector . Which of the following statements is TRUE?

Choices

Choice (4)Response

a.

is neither solenoidal nor irrotational

b.

is both solenoidal and irrotational

c.

is solenoidal, but not irrotational

d.

is irrotational, but not solenoidal,

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Question 3

Appeared in Year: 2016

Question MCQ▾

The current density in a medium is given by:

The total current and the average current density flowing through the portion of a spherical surface are given, respectively, by

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 4

Appeared in Year: 2016

Question Numeric Answer▾

Consider the time-varying vector in Cartesian coordinates, where is a constant. When the vector magnitude is at its minimum value, the angle that I make with the x axis (in degrees, such that ) is …

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