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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

If the electric field strength in air exceeds 3.0 × 106 N/C, the air becomes a conductor. Using this fact, determine the maximum amount of charge that can be carried by a metal sphere 2.0 m in radius. (See the hint in Problem 40.)

To determine
The maximum amount of charge.

Explanation

Given info: The maximum electric field strength (E) is 3.0×106N/C . Radius of the sphere (R) is 2.0 m.

Formula to calculate the electric field strength is,

E=keqR2

  • ke is the Coulomb constant.

On Re-arranging,

q=ER2ke

Substitute 8.99×109N.m2/C2 for ke , 3

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