Gujarati
Hindi
2. Electric Potential and Capacitance
medium

A hemispherical bowl of mass $m$ is uniformly charged with charge density $'\sigma '$ . Electric potential due to charge distribution at a point $'A'$ is (which lies at centre of radius as shown).

A

$\frac{{\sigma R}}{{4{\varepsilon _0}}}$

B

$\frac{{\sigma R}}{{3{\varepsilon _0}}}$

C

$\frac{{\sigma R}}{{2{\varepsilon _0}}}$

D

$\frac{{\sigma R}}{{{\varepsilon _0}}}$

Solution

$V = \frac{{{\rm{kQ}}}}{{\rm{R}}} = \frac{{\sigma  \times 2\pi {{\rm{R}}^2}}}{{4\pi { \in _0}{\rm{R}}}} = \frac{{\sigma {\rm{R}}}}{{2{ \in _0}}}$

Standard 12
Physics

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