We have obtained the expression for the potential of the field of a point charge using numerical methods. When you have learned to difierentiate, prove that formula (18.25) leads to the expression for the field intensity of a point charge known from the Coulomb law.

We have obtained the expression for the potential of the field of a po

1.	We have obtained the expression for the potential of the field of a point charge using numerical methods. When you have learned to difierentiate, prove that formula (18.25) leads to the expression for the field intensity of a point charge known from the Coulomb law.
Answer» Solution :In this case equipotential surfaces are SPHERES with a common CENTRE at the source, and radii normal to the surfaces. If the potential is `varphi=q..4PI epsi_(0)r,`the FIELD strength is `E=(dvarphi)/(dr)=-(d)/(dr)((q)/(4pi epsi_(0)r))=(q)/(4pi epsi_(0)r^(2))` and just this was to be proved.

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We have obtained the expression for the potential of the field of a point charge using numerical methods. When you have learned to difierentiate, prove that formula (18.25) leads to the expression for the field intensity of a point charge known from the Coulomb law.

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