Two conducting spheres of radii 5, cm and 10, cm are given a charge of 15,μ C each. After two spher

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2. Electric Potential and Capacitance

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Two conducting spheres of radii $5\, cm$ and $10\, cm$ are given a charge of $15\,\mu C$ each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is.......$\mu C$

A

$5$

B

$10$

C

$15$

D

$20$

Solution

(b) Charge on smaller sphere
= Total charge $\left( {\frac{{{r_1}}}{{{r_1} + {r_2}}}} \right) = 30\,\left( {\frac{5}{{5 + 10}}} \right) = 10\,\mu C$

Standard 12

Physics

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