## Related questions with answers

Figure we saw earlier shows some of the electric field lines due to three point charges arranged along the vertical axis. All three charges have the same magnitude. (b) At what point(s) is the magnitude of the electric field the smallest? Explain your reasoning. Explain how the fields produced by each individual point charge combine to give a small net field at this point or points.

Solution

Verified$\bf b)$

We know that the three charges are having the same magnitude. We can assume that the distance between the charges is the same, as you see in the figure below.

We choose an arbitrary point to the left of the middle charge in which we need to analyze the net electric field exerted on it.

Since we assume that the distance between the charged is equal (and hence the distance from the upper charge to our chosen point is equal to the distance between the lower point and our chosen point), so the angle of the first electric field that made with the horizontal line that passes through the middle charge, as you see below, is equal to the angle that made by the third electric filed of the third charge with the same line.

Therefore,

$\theta_1=\theta_3=\theta$

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