Field on the axis of a circular opening of a plane - corrected exercises Gauss theorem






Consider a uniformly charged surface plane which is practiced in an empty hole of radius R and fillers.
Determine the electrostatic field at a point M of the axis of the hole.
We note s the surface density loads.

 




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Solution : Field on the axis of a circular opening of a plane - corrected exercises Gauss theorem

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∎ Back to exercise     The Load distribution can be seen as the result of the superposition of an infinite plane of a surface density of charge s and a disc with a density - s. The field at a point M of the axis  according to the principle of superposition is the vector sum of the fields created by each of these distributions taken separately. Either:   Noting the unit vector normal to the plane and oriented to the point M, z the coast of the point M from the center of the circular opening ,we have , using conventional demonstrated results in progress (demonstrate need to know!): Finally : ∎ Back to exercise ∎ See the list of electromagnetism exercises
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