Potential field created by a disc at a point on its axis of revolution - electrostatic potential-Corrected exercises electromagnetism

Consider a disk its center O and its radius R.

This system is loaded on the surface with the surface density:

  a is a constant homogeneous to a length and r is the distance of a point P on the surface of the disc to its center .

1. Determine the electrostatic potential at a point M of the axis  of revolution Oz of this disc.
   For the calculation is carried out the change of variable r = z u sh.
2. Deduce the expression of the electrostatic field in point M.
   
   
   
   
   
   
   
   

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