4. An isolated spherical capacitor has charge +Q on its inner conductor (radius ra) and -Q charge on its outer conductor (radius rb ). Half of the volume between the two conductors is then filled with a liquid dielectric of constant K as shown in cross section in Fig. a) Find the capacitance of the half-filled capacitor. b) Find the magnitude of E in the volume between the two conductors as a function of the distance from the center of the capacitor. Give answers for both the upper and lower halves of this volume.
4. An isolated spherical capacitor has charge +Q on its inner conductor (radius ra) and -Q charge on its outer conductor (radius rb ). Half of the volume between the two conductors is then filled with a liquid dielectric of constant K as shown in cross section in Fig. a) Find the capacitance of the half-filled capacitor. b) Find the magnitude of E in the volume between the two conductors as a function of the distance from the center of the capacitor. Give answers for both the upper and lower halves of this volume.
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