For two concentric spherical shells of radii \(a\) and \(b\) find the
capacitance matrix
\(Q_1 = C_{11}V_1 + C_{12}V_2; \qquad Q_2= C_{21} V_1+ C_{22} V_2\)
Answer:
\[\begin{eqnarray}C_{11} = \frac{4\pi\epsilon_0 a b}{b-a}=-C_{12}, C_{22}=\frac{4\pi\epsilon_0 b^2}{b-a}\end{eqnarray}\]
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