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  • Consider two conducting spheres of radius R_{1} and R_{2} with R_{1} > R_{2}. If the two are at the same potential, the larger sphere has more charge than the smaller sphere.

Consider two conducting spheres of radius R_{1} and R_{2} with R_{1} > R_{2}. If the two are at the same potential, the larger sphere has more charge than the smaller sphere. State whether the charge density of the smaller sphere is more or less than that of the larger one.

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Here, \sigma _{1}R_{1}=\sigma _{2}R_{2}

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

If we consider R_{2}>R_{1}, therefore, \sigma _{1}>\sigma _{2}

Therefore, it is clear from the above statement that the charge density of the smaller sphere is greater than the charge density of the larger sphere.

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infoexpert23

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