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Question

Charge is continuously fed to a conductor. What should the minimum charge density at any point be to give corona discharge when the conductor is kept in air?
(Dielectric strength of air is 3,000,000Vm

A
4,000,000ε0
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B
3,000,000ε0
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C
2,000,000ε0
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D
1,000,000ε0
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Solution

The correct option is B 3,000,000ε0
Corona discharge takes place when there is dielectric breakdown around a conductor. The dielectric strength of air is given to be 3,000,000Vm So, if the conductor creates an electric field more than 3,000,000Vm then dielectric breakdown will take place. The electric field produced by a conductor is given by σε0 , where σ is the local charge density
So,
σε0 > 3,000,000
σ > 3,000,000ε0
So the minimum charge density is 3,000,000ε0

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