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**Homework Statement**

A positive charge of magnitude qo is shown in the diagram below. Points B and C are a distance r away from the charge and point A is a distance 2r from it.

1. Would the absolute value of work done by an external agent in moving the same test charge from point B to C be greater than, less than, or equal to from point A to B

2. Would the absolute value of the work done by an external agent in moving the same test charge from point A to C be greater than, less than, or equal to from point A to B?

## Homework Equations

W = Fd

## The Attempt at a Solution

1. Work from A to B to be would be negative because the distance is in the opposite direction of the force being exerted. From B to C would be 0 because the first half of the path has a negative work done and the second half of the path has a positive work being done. The absolute work done would be 0 because both paths have equal magnitude but different direction. Therefore, work from point B to C would be greater than from point A to B

2. I really have no idea about this problem. From A to C and from A to B are both negative, which makes the problem incomparable. All I know is that A to C has a longer distance than from A to B. However, I cannot compare their forces...

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