The figure shows a −Q charge and +Q charge, and two paths (the dashed lines) to get from points 1 to 2. If a positive charge +q0 moves from 1 to 2, on which path will more work be done on the +q0 charge?  Equal amounts of work are done on each path  More work is done on the straight path.  More work is done on the curved path. What is the sign of the change in electric potential energy of the 3-charge system (involving charges +Q, −Q, and +q0) as the +q0 moves from 1 to 2 along the straigh path?  The change in electric potential energy is negative.  The change in electric potential energy is zero.  The change in electric potential energy is positive.

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The figure shows a −Q charge and +Q charge, and two paths (the dashed lines) to get from points 1 to 2. If a positive charge +q0 moves from 1 to 2, on which path will more work be done on the +q0 charge?

 Equal amounts of work are done on each path
 More work is done on the straight path.
 More work is done on the curved path.

What is the sign of the change in electric potential energy of the 3-charge system (involving charges +Q, −Q, and +q0) as the +q0 moves from 1 to 2 along the straigh path?

 The change in electric potential energy is negative.
 The change in electric potential energy is zero.
 The change in electric potential energy is positive.

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Expert Solution
Step 1

Work done on any object is define by the product of the force and displacementSo, W=Force×displacementIn this case, the force experienced by the charge is the electric forceAs can be seen in the figure, the displacement that the charge +qo undergoes is greater for the curved path than that for the straight pathSince a greater displacement will produce more work, so the work done on the charge +qo will be more on the curved path.

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