A spherical capacitor is made of two conducting spherical shells of radii a and b = 3a. The space between the shells is filled with a dielectric of dielectric constant K = 3 upto a radius c = 2a as shown. If the capacitance of given arrangement is n times the capacitance of an isolated spherical conducting shell of radius a. Then find value of n.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(n = 3)
Sol.
V = 
= 
= 
= 
V = 
; C eq = 
C eq = 
= 
C eq = 3 (4π ∈ 0 a)
= 3 (capacitance of capacitor of isolated conducting shell of radius a)
⇒ n = 3
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