the spherical sell is to be charged to a potential 2 million volt . calculate the minimum radius the shell can have , if the dielectric strength of air is 0.8
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The minimum radius of the shell is r = 25 cm.
Explanation:
V = 2 million volt = 2 x 10^6 V
Dielectric strength = 0.8 kV / mm = 8 x 10^5 V/m
Maximum electric field E = 10% Dielectric strength
E = 10 /100 x 8 x 10^5 = 8 x 10^4 V/m
As E = V / r = 2 x 10^6 / r
8 x 10^4 = 2 x 10^6 / r
r = 25 cm
Thus the minimum radius of the shell is r = 25 cm.
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