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Question: In a spherical condenser radius of the outer sphere is \(R\). The different in the radii of outer an...

In a spherical condenser radius of the outer sphere is RR. The different in the radii of outer and inner sphere inxx. Its capacity is proportional to

A

xR(R−x)\frac{xR}{(R - x)}

B

x(R−x)r\frac{x(R - x)}{r}

C

R(R−x)x\frac{R(R - x)}{x}

D

Rx\frac{R}{x}

Answer

R(R−x)x\frac{R(R - x)}{x}

Explanation

Solution

C∝abb−a;C \propto \frac{ab}{b - a}; a = R – x, b = R so, C∝R(R−x)xC \propto \frac{R(R - x)}{x}