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True or False

When a charge is moved from point A to point B in E field, the work done by the electric force and the associated potential energy change depend on not only the initial and final locations, but also the path taken.

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Explanation:

The work of the electric force does not depend on the trajectory or the path taken. Regardless of trajectory a and b we have the following

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[tex]W_{ab} = \frac{K Q q}{R_{a} } \frac{K Q q}{R_{b} }[/tex]

Wab: Work

K: coulomb constant (9·109 N·m2/C2)

Ra,Rb: distances

Qq: electric charges

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