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A spherical shell of radius R carries a ...

A spherical shell of radius R carries a uniformly distributed charge q. The electrical forces arising cause the ex-pansion of the shell. Find the mechanical stress in the shell.

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The mechanical stress is equal to the energy density of the electric field (see 37.8). We have `p=w_(0)=epsi_(0)E^(2)//2`. But we have already found the field on the surface of a sphere (see Problem 24.14): `E=q//(4pi epsi_(0)R^(2))`. Hence the result sought.
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