Gujarati
2. Electric Potential and Capacitance
hard

A sphere of $4\, cm$ radius is suspended within a hollow sphere of $6\, cm$ radius. The inner sphere is charged to potential $3\, e.s.u.$ and the outer sphere is earthed. The charge on the inner sphere is.....$e.s.u.$

A

$54$

B

$0.25$

C

$30$

D

$36$

Solution

(d) Suppose charge on inner sphere is $+Q$ as shown.
Potential on inner sphere
$V = \frac{Q}{4} – \frac{Q}{6}$
$==>$ $3 = Q\,\left( {\frac{1}{4} – \frac{1}{6}} \right)$ $==>$ $Q = 36\,e.s.u.$

Standard 12
Physics

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