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In a Van de Graaff generator a spherical...

In a Van de Graaff generator a spherical metal shell in to be a `15xx10^(6)V` electrode. The dielectric strength of the gas surrounding the electrode is `5xx10^(7)V*m^(-1)`. What is the minimum radius of the spherical shell required?

Text Solution

Verified by Experts

Minimum radius of the shell,
`r = (V)/(E )= (15xx10^(6))/(5xx10^(7))= 3xx10^(-1)m = 30 cm`
This result shows why an electrostatic generator which requires a small charge to acquire a high potential cannot be build using a very small shell.
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