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In a Van-De Graaff type generator a spherical metal shell is to be a 15 xx 10^(6) V electrode. The dielectric strength of the gas surrounding the electrode is 5xx10^(7) Vm^(-1). What is the minimum radius of the spherical shell required ? |
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Answer» Solution :Maximum acceptable potential `V=1.5xx10^(6)` V For SAFETY E = 10 % of dielectric strength `= 5 xx10^(7)` `= 5xx10^(7)xx(10)/(100)` `= 5xx10^(6) Vm^(-1)` Potential for spherial shell `V = (kq)/(r)` and electric field `E = (kq)/(r^(2))` `:. (V)/(E) =r ` `:.` Required MINIMUM RADIUS `r = (V)/(E) = (1.5xx10^(6))/(5xx10^(6))` `:. r = 3xx10^(-1) `m = 30 CM |
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