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  • Two charged spherical conductors of radius are connected by a wire. Then the ratio of surface charge densities of the s

Two charged spherical conductors of radius R_1\: and\: R_2 are connected by a wire. Then the ratio of surface charge densities of the spheres \left ( \sigma _1/\sigma _2 \right ) is :

Option: 1

\frac{R_1}{R_2}
 


Option: 2

\frac{R_2}{R_1}


Option: 3

\sqrt{\left ( \frac{R_1}{R_2} \right )}

 


Option: 4

\frac{R{_{1}}^{2}}{R{_{2}}^{2}}


Answers (1)

best_answer

V_{1}=V_{2}

\frac{kQ_{1}}{R_{1}}=\frac{kQ_{2}}{R_{2}}

\frac{Q_{1}}{Q_{2}}=\frac{R_{1}}{R_{2}}

\frac{\sigma _{1}}{\sigma _{2}}=\frac{Q_{1}/4\pi R^{2}_{1}}{Q_{2}/4\pi R^{2}_{2}}=\frac{R^{2}_{2}}{R^{2}_{1}}\times \frac{R_{1}}{R_{2}}

\frac{\sigma _{1}}{\sigma _{2}}= \frac{R_{2}}{R_{1}}

Posted by

Ritika Harsh

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