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A Van de Graaff generator has a spherical metal shell as an electrode which is at a potential 15 xx 10^(6)V. If the dielectric strength of the surrounding medium is 5 xx 10^(7) Vm^(-1), then the diameter of the shell is

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Answer Text

30 cm15 cm60 cm120 cm

Answer :
C
Solution :
Potential difference, `V = 15 xx 10^(6)V` <br> Dielectric strength of medium `=5 xx 10^(7) V//m` <br> Electric field intensity, <br> `E = 5 xx 10^(7) V//m` <br> Minimum radius of spherical shell required for the purpose is given by <br> `r = (V)/( E) = (15 xx 10^(6))/(5 xx 10^(7)) = 0.3m` <br> Hence diameter, `d = 2r = 0.6m = 60cm`

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