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