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Consider two charged metallic spheres S1 and S2 of radii R1 and R2 , respectively. The electric fields E1/E2 = R1/R2 . Then the ratio V1(on S1)/V2(on S2) of the electrostatic potentials on each sphere is :
Option: 1 \left ( \frac{R_{1}}{R_{2}} \right )^{3}

Option: 2 \left( \frac{R_{2}}{R_{1}} \right )

Option: 3 \frac{R_{1}}{R_{2}}

Option: 4 \left ( \frac{R_{1}}{R_{2}} \right )^{2}
 

Answers (1)

best_answer

Given 

\\\frac{E_1}{E_2}=\frac{R_1}{R_2}\\V=-E.R\\\frac{V_1}{V_2}=\frac{E_1R_1}{E_2R_2}=(\frac{R_1}{R_2})^2

hence the correct option is (4)

Posted by

vishal kumar

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