56. A surface completely surrounds a +2.0 x 10-6 C charge. Find the electric flux through this surface when the surface is (a) a sphere with a radius of 0.50 m, (b) a sphere with a radius of 0.25 m, and (c) a cube with edges that are 0.25 m long.

 

Gauss’s Law tells us that the electric flux is equal to the net charge enclosed divided by the permittivity of free space or in equation form

 

 

Since in all three of these shapes the surface area encloses the charge, the flux is the same regardless of the shape.

 

 

 

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This page last updated on June 6, 2018