Answer :

Radius of the outer shell (r1) = 13cm = 0.13m


Radius of the inner shell (r2) = 12cm = 0.12m


Charge on the outer surface of the inner shell = 2.5 μC = 2.510-6C


Dielectric constant of liquid () = 32


Since, Potential difference between the two shells,



Δ


Where, = Absolute Permittivity of free space = 8.8510-12C2N-1m-2


Therefore




(a) Capacitance,



C = 5.5510-9F


Hence, the capacitance of the capacitor = 5.5510-9F


(b) The potential of a capacitor (V), is given as:




V = 450 V


Hence, the potential of the inner sphere = 450V


(c) Radius of the isolated sphere(R) = 12 cm = 0.12m


Capacitance of an isolated sphere = 4πε0R


C = 4 × 3.14 × 8.85 × 10-12 × 0.12


C = 1.3310-11F


Where, ϵ0 is the Absolute Permittivity of free space = 8.8510-12C2N-1m-2The capacitance of the isolated sphere is less than that of the concentric spheres because the outer sphere of the concentric spheres is earthed. Hence, the potential difference is less and the capacitance is more than the isolated sphere.


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