Electrostatics Question 818

Question: In a Van de Graff generator, a spherical metal shell is to be $ 15\times 10^{6}V $ electrode. The dielectric strength of the gas surrounding the electrode is $ 15\times {{10}^{-7}}V{{m}^{-1}}. $ The minimum radius of the spherical shell required is

Options:

A) 1m

B) 2m

C) 1.5m

D) 3m

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Here, $ V=15\times 10^{6}V $

dielectric strength $ =5\times 10^{7}V{{m}^{-1}} $

Maximum electric field, E = 10% of dielectric strength

As $ E=\frac{V}{r}\text{ }\therefore r=\frac{V}{E}=\frac{15\times 10^{6}}{5\times 10^{6}}=3m $



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