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A point charge is placed at the centre o...

A point charge is placed at the centre of a hollow conducting sphere of internal radius ' and outer radius '2r. The ratio of the surface charge density of the inner surface to that of the outer surface will be ___________ .

Text Solution

Verified by Experts

The correct Answer is:
`4:1`
Surface charge density on inner surface `sigma_(1) = (q)/(4pir^(2)).` and that on the outer surface `sigma_(2)= (q)/(4pi(2r)^(2))=(q)/(16pir^(2))implies (sigma_(1))/(sigma_(2))=(4)/(1)`
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