Solution : electrostatic field created by an electrified segment - Corrected exercises electromagnetism

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Field created by a charged segment.

 

1. Field in a point of the axis of symmetry.

All planes passing through OM are  distribution symmetry planes of charge, the electrostatic field is therefore carried by the axis Ox.

Whether

 is  the field created by a wire element in M are centered around the point P:

  PM variables are expressed, in terms of θ.

Substituting we get:

  The angle is expressed:

  Finally :

2. Case of infinite wire.

In the case of an infinite wire we have:

whence

We get :

   

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