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Potential and Potential Energy Relation

What is the p...

Question

What is the potential of the outer sphere?

A

k_{e} \frac{Q_{1} - Q_{2}}{R_{1}}

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B

k_{e} \frac{Q_{1} + Q_{2}}{R_{2}}

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C

k_{e} \frac{Q_{1} - Q_{2}}{R_{2}}

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D

k_{e} \frac{Q_{1} + Q_{2}}{R_{1}}

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Solution

The correct option is D $k_{e} \frac{Q_{1} + Q_{2}}{R_{1}}$
Potential of outer sphere due to inner sphere $= V_{1} = \frac{k_{e} Q_{2}}{R_{1}}$

Potential of outer sphere due to charge on outer sphere $= V_{2} = \frac{k_{e} Q_{1}}{R_{1}}$

Hence, total potential of outer sphere $= V = V_{1} + V_{2}$

$⟹ V = k_{e} \frac{Q_{1} + Q_{2}}{R_{1}}$

Answer-(D)

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