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Spherical capacitor: Equivalent parallel plate capacitor

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Derive an expression for capacitance of spherical capacitor (inner and outer radii are R1 and R2 respectively) and show that in case of small distance between spheres (R1 ≈ R2) capacitance can be calculated using the expression for parallel plate capacitor.

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Solution Summary

The formula for the capacitance of a spherical capacitor is derived and the same is calculated considering it a parallel plate capacitor.

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Answer:

A spherical capacitor consists of two concentric conducting shells. The inner shell is given charge and the outer shell is earthed. The charge is uniformly distributed on the surface of the inner shell and induces an equal negative charge on ...

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