Question

Draw a plot showing the variation of (i) electric field (E) and (ii) electric potential (V) with distance r due to a point charge Q.

Answer 1

We know, that for a point charge Q

 Electric potential ,`V=Q/(4pi in_0r) or V ∝ 1/r`

and

Electric field, `E = Q/(4piin_0r^2) or E ∝ 1/r^2` 

Thus, electric potential shows an inverse relationship while electric field shows a inverse square relationship with r.

So, their corresponding plots would be