Question
The two graphs are drawn below, show the variations of electrostatic potential (V) $\frac{1}{\text{r}}$ (r being the distance of field point from the point charge) for two point charges q1 and q2.
  1. What are the signs of the two charges?
  2. Which of the two charges has the larger magnitude and why?
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Answer

  1. The potential due to positive charge is positive and due to negative charge, it is negative, so, is q1 positive and q2 is negative.

$\text{V}=\frac{1}{4\pi\varepsilon_0}\frac{\text{q}}{\text{r}}$

  1. The graph between V and $\frac{1}{\text{r}}$ is a straight line passing through the origin with slope $\frac{\text{q}}{4\pi\varepsilon_0},$

As the magnitude of slope of the line due to charge q2 is greater than that due to q1, q2 has larger magnitude.

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