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(B) The capacitance $C$ of a spherical capacitor consisting of two concentric spherical conductors with radii $r_1$ (inner) and $r_2$ (outer) is given

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$8 \pi \varepsilon_0 R$

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(B) The capacitance $C$ of a spherical capacitor consisting of two concentric spherical conductors with radii $r_1$ (inner) and $r_2$ (outer) is given by the formula: $C = \frac{4 \pi \varepsilon_0 r_1 r_2}{r_2 - r_1}$ Given that the inner radius $r_1 = R$ and the outer radius $r_2 = 2 R$. Substituting these values into the formula: $C = \frac{4 \pi \varepsilon_0 (R)(2 R)}{2 R - R}$ $C = \frac{8 \pi \varepsilon_0 R^2}{R}$ $C = 8 \pi \varepsilon_0 R$ Therefore,the correct option is $B$.

$A$ spherical capacitor consists of two concentric spherical conductors. Find the capacitance of the spherical capacitor if the outer radius is $2 R$ and the inner radius is $R$.

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