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Two thin concentric and coplanar spheric...

Two thin concentric and coplanar spherical shells, of radii a and b `(bgta)` carry charges, q and Q, respectively. Find the magnitude of the electric field at a point distant x, from their common center for 3
(i) `0ltxlta` (ii) `alexltb` (iii) `blexltoo``blexltoo`

Text Solution

Verified by Experts

Using Gauss's law
`ointvecE.vec(ds)=Exx4pia^(2)=0impliesE=0`
(ii) For `alexltb` `ointvecE.vec(ds)=Exx4pia^(2)=q//in_(0)`
`impliesE=(1)/(4piepsi_(0))(q)/(a^(2))`
(iii) For `blexltoo` `ointvec(E).vec(ds)=Exx4pib^(2)=(Q+q)/(epsi_(0))`
`E=(1)/(4piepsi^(0))(Q+q)/(b^(2))`.
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