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Finding the electric flux of an object

Physics Tutorial Center Staff 9 years ago updated 9 years ago 1

If there is a non-constant electric field going through a cube, how am I suppose to find the electricflux in terms of the volume of the cube, the electric field, and the length of the cube? It isn't clear to me because there is no function for the electric field which I can multiply to it. Do I assume the electric field is constant in the y-z plane? why or why not?

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Electric flux is the amount of electric field flowing perpendicular through an area. For a volume, the total flux is the sum of all the electric flux flowing in or out of each surface.


For this problem, first think about what the flux would be if the electric field was constant. The same amount of field would flow through one side of the cube as it would flow out of the opposite side, so the flux would be zero.


If the field is non-constant, one side will have more flux in or out than the other. How much more will depend on how the field changes with position and the length of the cube. If you could provide more information on this problem, we can give you more specific guidance.