If the maximum circumference of a sphere is 2 m, then its capacitance in water would be :- (Dielectric constant of water = 81)
2385 pF
2865 pF
27.65 pF
236.5 pF
A
27.65 pF
B
2385 pF
C
236.5 pF
D
2865 pF
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Solution
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Given,
ε0=8.85×10−12
εr=81
Perimeter, L=2πr=2m
r=1π
The capacitance in water,
C=4πε0εrr
C=4π×8.85×10−12×81×1π
C=2865pF
The correct option is D.
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