The spherical metal shell in a Van de Graff type generator is supposed to be a 3 x 107 V electrode. The dielectric strength of the gas surrounding the electrode is 5 x 107 Vm-1. What is the minimum radius of the spherical shell required?

Asked by Topperlearning User | 22nd Apr, 2015, 11:35: AM

Expert Answer:


Electric field at the surface, begin mathsize 11px style straight E space equals space fraction numerator straight Q over denominator 4 straight pi element of subscript 0 straight r squared end fraction end style
Potential of the sphere,  begin mathsize 11px style straight V space equals space fraction numerator straight Q over denominator 4 straight pi element of subscript 0 straight r end fraction space equals space 3 space cross times 10 to the power of 7 space straight V end style
                            

Emax = 5 x 107 Vm-1

Answered by  | 22nd Apr, 2015, 01:35: PM