Solution Field created by a disc at a point on its axis -Corrected exercises electromagnetism

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Field created by a disc at a point on its axis.

The z axis is the axis of symmetry of load distribution. The field M is carried by this axis.

Consider a disk surface element centered at a point P. The electrostatic field created by this element at a point M of the axis Oz is expressed as:

Only the projection of this vector onto axis Oz contributes to the field at point M:

we have :

The field component of M is:

we can notice that:

After integration polar angle and using the remark, we write the result in the form:

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