Can a metal sphere of radius 1cm hold a charge of 1 coulomb

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Solution

the electric field that would be generated by 1C on a sphere of radius 0.01m on the surface of the sphere
E = kq/r^2
=(910^9)/(1 10^-4)
=910^13 V/m
the dielectric strength of air is about 310^6 V/m
so electric field generated by this sphere of charge will cause the air molecule to break down and nuteralise much of the sphere"s charge. hence answer is no.

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