8. What are the electric fields of an isolated sphere of radius \(R\), with uniform volume charge density \(\rho\), at a point outside the sphere?      (9)

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)

8. What are the electric fields of an isolated sphere of radius \(R\), with uniform volume charge density \(\rho\), at a point outside the sphere? (9)

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