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CBSE Class 12-science Answered

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 | 22 Apr, 2015, 11:35: AM
answered-by-expert 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 | 22 Apr, 2015, 01:35: PM
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