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The electric field at a distance \( \frac{3 R}{2} \) from the centre of a charged conducting spherical shell of radius \( \mathrm{R} \) is \( \mathrm{E} \). The electric field at a distance \( \frac{\boldsymbol{R}}{\mathbf{2}} \) from the centre of the sphere is :

1. zero
2. E
3. \( \frac{E}{2} \)
4. \( \frac{E}{3} \)

Correct answer: zero

Solution

For a charged conducting spherical shell, all excess charge resides on the outer surface, so the electric field inside the shell is zero. Since \(R/2 < R\), the point lies inside the shell, making the field zero regardless of the value at \(3R/2\).

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