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# If the electric ficld strength in air exceeds $3.0 \times 10^{6} \mathrm{N} / \mathrm{C}$ , the air becomes a conductor. Using this fact, determine the maximum amount of charge that can be carricd by a metal sphere 2.0 $\mathrm{m}$ in radius. (See the hint in Problem 40.)

## $1.335 \times 10^{-3} \mathrm{C}$

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### Video Transcript

maximum amount off. The charge can be calculated. Ah, by writing electric field the acreage in so electric field maximum physical to K times que maximum derided by our square for the uniformly charged sphere. Well, let's say this is a sphere which is only formally charged, they feel is strongest on the surface, so the surface this will be a strongest. Therefore, we can find a Q Mex will be our square e m x divided by Okay. From here will solve for a Q max by sub student values. That is ah, to swear on three times 10 to the power six divided by eight or 99 times 10 to the power I. This gives us que Mexico for the maximum charge off 1.3 turns deadly car in my industry My ministry Coolum

Wesleyan University