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QUESTION IMAGE

two concentric conducting spheres have radii of r1 and r2, with r1 grea…

Question

two concentric conducting spheres have radii of r1 and r2, with r1 greater than r2. the capacitance is proportional to (r1 - r2)/r1r2, r1r2/(r1 - r2), none of the choices are correct, r2 - r1, r2 + r1

Explanation:

Step1: Recall capacitance formula for concentric spheres

The capacitance $C$ of two - concentric conducting spheres with radii $R_1$ and $R_2$ ($R_1>R_2$) is given by $C = 4\pi\epsilon_0\frac{R_1R_2}{R_1 - R_2}$. So the capacitance is proportional to $\frac{R_1R_2}{R_1 - R_2}$.

Answer:

$R_1R_2/(R_1 - R_2)$