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[QUE/EM-04004] EM-PROBLEM

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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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