10. A solid cylindrical conductor of radius \(a\) and charge \(Q\) is coaxial with a cylindrical shell of radius \(b\) (\(b ＞ a\)) and charge \(-Q\). Find the capacitance of this configuration if its length is \(L\).     (11)

9. An air-filled parallel plate capacitor is connected to a battery of voltage \(V_0\). There is charge \(Q_0\) on each plate, energy \(U_0\) stored between the plates and an electric field of \(E_0\) between the plates. The capacitor remains connected to the battery and a dielectric material with a dielectric constant of \(K\) is then placed between the plates of the capacitor. What are the new values of \(V\), \(Q\), \(U\), and \(E\)? (10)

10. A solid cylindrical conductor of radius \(a\) and charge \(Q\) is coaxial with a cylindrical shell of radius \(b\) (\(b ＞ a\)) and charge \(-Q\). Find the capacitance of this configuration if its length is \(L\). (11)

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