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Question

A solid metallic sphere has a change +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
4Q2πε0R2
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B
3Q4πε0R2
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C
3Q2πε0R2
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D
Q2πε0R
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Solution

The correct option is B 3Q4πε0R2
Charge =+3Q
Change having =Q
radius of sphere =a (b>a)
Electric field at a distance =R (a<R<b) from the centre.
When electric field inside shell is always zero. Hence, the electric field intensity due to solid sphere is alone considered and at a distance R from its centre.
Now, E=14πϵ0(3Q)R2

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