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GATE 2019: Electromagnetic Theory Rapid Quiz 1 (App update required to attempt this test)

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Question 1

A vector A is given as:

Determine its nature at the point (1, -2, 3)

Question 2

Find the angle between A and B (in degree) If the given vectors A=4 and B=.

Question 3

Given points M (1, 4, 2), N (-2, -3, -1), P (-3, 2, 2). Determine the unit vector in the direction of vector , where are the vectors pointing from the origin to the point M, N, P respectively.

Question 4

Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is 0.4Ω, and its inductance is negligible. The magnetic flux density (in Tesla) is a function of time and is given by B(t) = 0.25 sin ωt, where ω= 2π × 50 radian/second. The power absorbed (in watt) by the loop from the magnetic field is ______.

Question 5

Given . Find the value of on the closed path shown below.


Question 6

A positive charge q is placed at x = 0 between two infinite metal plates placed at x = d and at
x = +d respectively. The metal plates lie in the yz plane.


The charge is at rest at t = 0, when a voltage +V is applied to the plate at d and voltage V is
applied to the plate at x = +d. Assume that the quantity of the charge q is small enough that it
does not perturb the field set up by the metal plates. The time that the charge q takes to reach the
right plate is proportional to
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Dec 6ESE & GATE EE