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GATE 2019: Electromagnetic Theory Quiz 3 (App update required to attempt this test)

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Question 1

A circular disc of radius 2m with a charge density is enclosed by a surface S. the flux crossing the S is

Question 2

A charge is uniformly distributed throughout the sphere of radius . Taking the potential at infinity as zero, the potential at is

Question 3

A thin soap bubble of radius R = 1 cm, and thickness a = 3.3 µm (a<<R)is at a potential of 1 V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of soap (assuming all the soap is contained in the drop) of radius r. The volume of the soap in the thin bubble is 4πR2a and that of the drop is . The potential in volts, of the resulting single spherical drop with respect to the same reference point at infinity is __________. (Give the answer up to two decimal places.)

Question 4

The energy stored in the electric field of the concentric spherical shell whose inner radius is R1 and outer radius R2.

Question 5

Find the total charge contained in an incremental square of a radius 1μm centred at P (3,3,3)
If D = 2 pc/ in free space?

Question 6

The electric field vector in spherical coordinates (r,,) is given by
=
The potential of point (r=2 m,=, =0) with respect to (r=4 m,=, =)is given by
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Feb 25ESE & GATE EE