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In a Van de Graaff type generator, a spherical metal shell is to be 15xx10^(6)V electrode. The dielectric strength of the gas surrounding the electrode is 5xx10^(7)Vm^(-1). The minimum radius of the spherical shell required is

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Answer Text

1 m 2 m 1.5 m 3 m

Answer :
D
Solution :
Here, `V = 15 xx 10^(6) V`, dielectric strenght ` = 5 xx 10^(7) V m^(-1)` <br> Maximun electric field , E = 10% of dielectric strength <br> `therefore E = (10)/(100) xx 5xx 10^(7) = 5 xx 10^(6) V m^(-1)` As `E = (V)/(r)` <br> `therefore r = (V)/(E) = (15 xx 10^(6))/(5xx10^(6)) = 3m `

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