A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed, and the inner sphere is given a charge of 2.5 µC. The space between the concentric spheres is filled with a liquid of dielectric constant 32. Determine the potential of the inner sphere.

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400 V

450 V

500 V

300 V

answer is B.

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Detailed Solution

When outer sphere is earthed, the capacitance is k4πε0abb-a V−0=QC=Q(b−a)K4πε0ab V=9×109×2.5×10-60.13-0.1232×13×12×10-4=450 V,

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