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2. Electric Potential and Capacitance
easy
If a charged spherical conductor of radius $10\,cm$ has potential $V$ at a point distant $5\,cm$ from its centre, then the potential at a point distant $15\,cm$ from the centre will be
A
$\frac{1}{3}\,V$
B
$\frac{2}{3}\,V$
C
$\frac{3}{2}\,V$
D
$3\,V$
Solution
(b) Potential inside the sphere will be same as that on its surface i.e. $V = {V_{surface}} = \frac{q}{{10}}stat\,volt$, ${V_{out}} = \frac{q}{{15}}stat\,volt$
$\frac{{{V_{out}}}}{V} = \frac{2}{3}$ $==>$ ${V_{out}} = \frac{2}{3}\,V$
Standard 12
Physics