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# GATE EE 2021 : Electromagnetic Theory Quiz 2 (App update required to attempt this test)

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Question 1

Two concentric spherical surfaces with r = 2 m and r = 10 m having uniform surface charge densities 40 nC/m2 and 10 nC/m2 respectively. The radial electric flux density at r = 4 m is

Question 2

A solid sphere of radius R carries a uniformly distributed total charge of Q. Consider the electric potential at a distance r from the centre of the sphere is V(r). For r>R plot of V(r) Versus r will be

Question 3

An E-field is given by = 4x âx+2 ây V/m. Then the work required in Joules to move a unit positive charge along the curve xy=4 from (2,2) to (4,1) is

Question 4

Four identical point charges of 7.5 nC each are located at the four corners of a square as (1, 2, 0), (1, 8, 0), (7, 2, 0), and (7, 8, 0). Find the magnitude of the electric field intensity due to these four charges at the centre of the square.

Question 5

A potential function volts is in free space the stored energy in free space in 2 m3 volume centered at origin is __________ joules

Question 6

Two metallic sphere of radius 4cm & 6cm are given charges of 5nC & 10nC respectively. If these are connected together for a long time, the final charge on smaller sphere will be
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