# Two thin rods of length L lie along the x-axis, one between x = a/2

Two thin rods of length L lie along the x-axis, one between x = a/2

and x = a/2 + L, and the other between x = −a/2 and x = −a/2 − L. Each rod has a positive charge Q distributed uniformly along its length. Show that the magnitude of the force that one rod exerts on the other is...

Please only assist with the last (bonus) question.

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#### Solution Preview

Please find the answer in the attached file. Thank you.

This is mostly a problem of mathematics. I am going to consider point A as my reference point. (i.e. I will measure distances from this point)

Red lines are two rods. Let 's' be the linear charge density on the rod. ...

#### Solution Summary

The solution analyzes two thin rods of length L. The magnitude of the force is calculated.

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