Q. Capacitance of a spherical capacitor is proportional to

एक गोलाकार संधारित्र की धारिता आनुपातिक होती है

Sum of radii
त्रिज्याओं का योग

Difference of radii
त्रिज्या का अंतर

Product of radii / difference
त्रिज्या/अंतर का गुणनफल

Product of radii / sum
त्रिज्या/योग का गुणनफल

For a spherical capacitor with inner radius $a$ and outer radius $b$ , the capacitance is:

C = 4\pi\varepsilon_0 \cdot \frac{ab}{b - a}

This shows that the capacitance is proportional to $\frac{ab}{b - a}$ , i.e., product of radii / difference.

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