Electrostatic Potential and Capacitance - Result Question 5

6. A conducting sphere of radius $R$ is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are:

[2014]

(a) Zero and $\frac{Q}{4 \pi \varepsilon_0 R^{2}}$

(b) $\frac{Q}{4 \pi \varepsilon_0 R}$ and Zero

(c) $\frac{Q}{4 \pi \varepsilon_0 R}$ and $\frac{Q}{4 \pi \varepsilon_0 R^{2}}$

(d) Both are zero

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Answer:

Correct Answer: 6. (b)

Solution:

  1. (b) Due to conducting sphere

At centre, electric field $E=0$

but electric potential, $V=\frac{Q}{4 \pi \in_0 R}$