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MHT CET 2025 (20 Apr, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2025 (20 Apr, Shift 1)

Q26MHT CET 2025 · 20 APR · SHIFT 1Easy

Electric Potential & Equipotentials

A conducting sphere of radius ' R ' is given a charge ' $Q$ ' uniformly. The electric field and the electric potential at the centre of the sphere are respectively [ $\varepsilon_0 =$ permittivity of free space]

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Answer: (a)

Inside a conductor in equilibrium $E = 0$ , so the field at the centre is zero.
The whole conductor is equipotential: $V_{\text{centre}} = V_{\text{surface}} = \frac{Q}{4\pi\varepsilon_0 R}$
So the answer is (a) zero and $\frac{Q}{4\pi\varepsilon_0 R}$ .

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