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Two concentric metallic spherical shell ...

Two concentric metallic spherical shell of radii R and 2R are given charges `Q_(1) & Q_(2)` respectively. The surface charge density on the outer surfaces of the shells are equal. Determine the ratio `Q_(1)=Q_(2)`

Text Solution

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Surface charge density `sigma` is same
`:.` charge `Q_(1)4 pi R^(2) sigma`
charge `Q_(2)=4pi (2R^(2)) sigma`
`(Q_(1))/(Q_(2))=(4pi R^(2) sigma)/(4pi (R^(2))sigma)=(1)/(4)`
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