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Engineering Physics · Q13

Electromagnetic Theory

Engineering and GATE · Engineering Physics · question 13

Q13

A conducting sphere of radius R is placed in uniform electric field E _0 directed along +Z-axis. The electric potential for outside points is given as V_ out = - E_0 ( 1 - R^3r^3 )r , where r is the distance from the centre and θ is the polar angle. The charge density on the surface of the sphere is

A conducting sphere of radius R is placed in uniform electric field directed along +Z-axis. The electric potential for outside points is given as      where r is the distance from the centre and θ is the polar angle. The charge density on the surface of the sphere is
A.
0 E0 cos θ
B.
ε0 E0 cos θ
C.
0 E0 cos θ
Answer
D.
E0 cos θ

Answer: Option C

Solution

Answer: Option C
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