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# GATE EE 2021 : Electromagnetic theory Quiz 6

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Question 1

Point charges of –10 nC and 10 nC are located in free space at (–1, 0, 0) m and (1, 0, 0) m respectively. What is the energy stored in the field?

Question 2

A charged particle experiences magnetic force in the presence of magnetic field. Which of the following statement is correct?

Question 3

Let two vectors be: The above vectors are:

Question 4

Three-point charges, q1 = 2 × 10-6 C, q2 = 10-6 C, and q3 = 1.5 × 10-6 C are located at the corners of an equivalent triangle of 40 cm side as shown in figure below. Find the force on charge q3? Question 5

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

Question 6

Find the value of electric field at a distance r = 10 cm from the centre of a non conducting sphere of radius R = 1 cm which has an extra positive charge equal to 7C uniformly distributed within the volume of sphere.
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