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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a
400 V
b
450 V
c
500 V
d
300 V
answer is B.
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Detailed Solution
V−0=QC=Q(b−a)K4πε0abor V=9×109×2.5×10−6(0.13−0.12)32×0.13×0.12=450 V