-->

Electric Charges And Fields

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.

Solution

For a point charge Q,

Electric potential is inversely proportional to r and Electric field is inversely proportional to r².

Electric Potential	Electric field
$V space equals space fraction numerator Q over denominator 4 pi epsilon subscript o r end fraction semicolon space i. e. comma space V proportional to 1 over r$	$E equals fraction numerator Q over denominator 4 pi epsilon subscript o r squared end fraction semicolon space i. e. comma space E proportional to 1 over r squared$

The graph below shows us the variation of E and V with distance ‘r’.