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Question

A solid metallic sphere has a charge + 3Q. concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is b. (b > a). What is the electric field at a distance R (a < R < b) from the centre.


A
Q2πϵ0R
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B
3Q2πϵ0R
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C
3Q4πϵ0R2
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D
4Q2πϵ0R2
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Solution

The correct option is C 3Q4πϵ0R2
We only need to consider the E contribution due to sphere.
Shell gives zero contribution to E at any point inside it.

Use direct formula.

E=14πϵ03QR2
E=3Q4πϵ0R2

Physics

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