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An uncharged spherical conductor has a radius of 2.4 m. What is the maximum charge you...

An uncharged spherical conductor has a radius of 2.4 m. What is the maximum charge you can deposit on the sphere before dielectric breakdown of the air around it occurs?

-> determine the strength of the electric field at the surface of the conductor and compare it against the field strength of 3 × 106 V/m above which air becomes a conductor

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Answer #1

The strength of the electric field at the surface of the conductor should be minimum 3 × 106 V/m above which air becomes a conductor

Ebreakdown = kQmax/R2
Qmax = Ebreakdown * R2/k
= 3000000 V/m * 2.4*2.4/9*10^9 = 0.00192 C = 1.92 mC

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