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Question

A solid metallic sphere has a charge . Concentric with this sphere is a conducting spherical shell having charge . The radius of the sphere + 3 Q. 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
  1. Q2πϵ0R
  2. 3Q2πϵ0R
  3. 3Q4πϵ0R2
  4. 4Q4πϵ0R2


Solution

The correct option is C 3Q4πϵ0R2
Electric field at a distance R is only due to sphere because electric field due to shell inside it is always zero. Hence electric field =14πϵ0.3QR2

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