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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.

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For a point charge Q,

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

Electric Potential

\(V = \frac{Q}{4 \pi \varepsilon_o r}; i.e., V \propto \frac{1}{r}\)

Electric field

\(E = \frac{Q}{4 \pi \varepsilon_o r^2}; i.e., E \propto \frac{1}{r^2}\)

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

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