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:
- (b) Due to conducting sphere
At centre, electric field $E=0$
but electric potential, $V=\frac{Q}{4 \pi \in_0 R}$
