(a) A spherical capacitor consists of two concentric conducting spheres of radii (R) and (2 R). If...

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(a) A spherical capacitor consists of two concentric conducting spheres of radii \(R\) and \(2 R\). If the two spheres carry charges of \(+q\) and \(-q\), what is the average energy density inside the capacitor in terms of \(R\) and \(q\) ?

(b) \(\mathrm{A}\) cylindrical capacitor of length \(\ell\) consists of two coaxial conducting cylinders of radii \(R\) and \(2 R\). If the two cylinders carry charges of \(+q\) and \(-q\), what is the average energy density inside the capacitor?

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