Two metal spheres of radii {R₁} and {R₂} are charged to same potential. ratio of charges on sphe

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2. Electric Potential and Capacitance

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Two metal spheres of radii ${R_1}$ and ${R_2}$ are charged to the same potential. The ratio of charges on the spheres is

A

$\sqrt {{R_1}} \;:\;\sqrt {{R_2}} $

B

${R_1}\;:\;{R_2}$

C

$R_1^2\;:\;R_2^2$

D

$R_1^3:\;R_2^3$

Solution

(b) Spheres have same potential
i.e. $k\frac{{{Q_1}}}{{{R_1}}} = k\frac{{{Q_2}}}{{{R_2}}}$ $==>$ $\frac{{{Q_1}}}{{{Q_2}}} = \frac{{{R_1}}}{{{R_2}}}$

Standard 12

Physics

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