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We have 3 concentric metallic spheres of radius r1, r2 and r3 having charges q1, q2 and q3 on them. The innermost and outermost spheres are earthed. Find the distribution of charge.

We have 3 concentric metallic spheres of radius r1, r2 and r3 having charges q1, q2 and q3 on them. The innermost and outermost spheres are earthed. Find the distribution of charge.

Grade:12th pass

1 Answers

Vikas TU
14149 Points
7 years ago
Innermost is earthed hence its potetial becomes zero.
V = 0 = Kq1/r1 = 0
that is q1 = 0
At middle layer
potential is => Kq2/r2 + 0 = V2
At outermost layer,
V3 = kq3/r3 + V => kq3/r3 + kq2/r2 = 0
hence,
q3/r3 = q2/r2
Final charge,
q1 = 0
q2 = q2
and
q3 = q2*r2/r3

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