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Question

The conducting sphere of radii r1 and r2 are at the same potential. What is the ratio of their charges?
  1. r1:r2
  2. r2:r1
  3. r21:r22
  4. r22:r21

A
r1:r2
B
r2:r1
C
r22:r21
D
r21:r22
Solution
Verified by Toppr

The conducting sphere of radii =r1 and r2.
Those have same potential the ratio of their charges V1=V2
V1=14πϵ0q1r1
V2=14πϵ0q2r2
Since, V1=V2
then,
q1r1=q2r2
or, q1q2=r1r2
q1:q2=r1:r2

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