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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
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
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