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Consider two charged metallic sphere $S_{1}$ and $S_{2}$ of radii $R_{1}$ and $R_{2}$ , respectively. The electric fields $E_{1}$ (on $S_{1}$ ) and $E_{2}$ (on $S_{2}$ ) on their surfaces are such that $E_{1} / E_{2} = R_{1} / R_{2}$ . Then the ratio $V_{1} (o n S_{1}) / V_{2} (o n S_{2})$ of the electrostatic potentials on each sphere is :

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Correct option is B

Given : E1E2=R1R2We know, E=kQR2 and V=kQR∴V=ER⇒V1V2=E1R1E2R2=R1R2×R1R2=R1R22

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2023 | www.infinitylearn.com

Consider two charged metallic sphere S1 and S2 of radii R1 and R2, respectively. The electric fields E1(on S1) and E2(on S2) on their surfaces are such that E1/E2=R1/R2. Then the ratio V1on S1/V2on S2 of the electrostatic potentials on each sphere is :

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