Consider a metallic shell of inner radius R₁ and outer radius R2. A point charge q is placed inside the shell, but not at the center, and is not in contact with the inner surface. Will the charge induced (if any) on the inner and outer surfaces of the shell be uniformly distributed? Inner surface: uniform; outer surface: not uniform Impossible to answer without knowing the distance of q from the center Inner surface: not uniform; outer surface: no charge induced Inner surface: no charge induced; outer surface: uniform Inner surface: not uniform; outer surface: not uniform Inner surface: not uniform; outer surface: uniform
Consider a metallic shell of inner radius R₁ and outer radius R2. A point charge q is placed inside the shell, but not at the center, and is not in contact with the inner surface. Will the charge induced (if any) on the inner and outer surfaces of the shell be uniformly distributed? Inner surface: uniform; outer surface: not uniform Impossible to answer without knowing the distance of q from the center Inner surface: not uniform; outer surface: no charge induced Inner surface: no charge induced; outer surface: uniform Inner surface: not uniform; outer surface: not uniform Inner surface: not uniform; outer surface: uniform
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Question
Transcribed Image Text:Consider a metallic shell of inner radius R₁ and outer radius R2. A point charge q is placed
inside the shell, but not at the center, and is not in contact with the inner surface. Will the
charge induced (if any) on the inner and outer surfaces of the shell be uniformly distributed?
Inner surface: uniform; outer surface: not uniform
Impossible to answer without knowing the distance of q from the center
Inner surface: not uniform; outer surface: no charge induced
Inner surface: no charge induced; outer surface: uniform
Inner surface: not uniform; outer surface: not uniform
Inner surface: not uniform; outer surface: uniform
Expert Solution
Step 1
If the charge is placed at the center then charge induced on the inner surface will be uniform. But if charge is not at the centre then the density of charge on the points on the inner surface near to the charge q will be higher compared to the points far from charge. Total induced charge on the inner surface will be -q. On the outer surface charge will be uniformly distributed. Total charge on the outer surface is q.
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