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2. Electric Potential and Capacitance
medium
A thin spherical conducting shell of radius $R$ has a charge $q$. Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $p$ at distance $\frac{R}{2}$ from the centre of the shell is
A
$\frac{{(q + Q)}}{{4\pi {\varepsilon _0}}}\frac{2}{R}$
B
$\frac{{2Q}}{{4\pi {\varepsilon _0}R}}$
C
$\frac{{2Q}}{{4\pi {\varepsilon _0}R}} - \frac{{2q}}{{4\pi {\varepsilon _0}R}}$
D
$\frac{{2Q}}{{4\pi {\varepsilon _0}R}} + \frac{q}{{4\pi {\varepsilon _0}R}}$
(AIEEE-2003)
Solution
(d) Electric potential at $P$
$V = \frac{{k.Q}}{{R/2}} + \frac{{k.q}}{R}$
$ = \frac{{2Q}}{{4\pi {\varepsilon _0}R}} + \frac{q}{{4\pi {\varepsilon _0}R}}$
Standard 12
Physics
