A constant electric field is in the positive X direction as shown in the diagram

Question

A constant electric field is in the positive X direction as shown in the diagram below. Also shown are two paths through which a charge can move from point A to point C. In the first path, the charge moves directly from A to C. In the second path path the charge moves parallel to the Y-axis to B and then parallel to the X-axis to C.

Select greater than, less than or equal to for the following statements.

1. The electric potential at point A is ___________ the electric potential at point B.

2. The work done on a -13.0 ?C charge moved along the first path is __________ the work done on a -13.0 ?C charge moved along the second path.

3. The electric potential energy of a -13.0 ?C charge at point B is ___________ the electric potential energy of a -13.0 ?C charge at point C.

Explanation / Answer

1.) same

electric potential = - E.dr

in above problem Electric field and relatve distance is constant so potential will also remain same.

2.) same

work done = change in potential energy

as in both the cases we have same potential energy as potential energy doesnot depend on the path followed it only depends on charge and the distance from the source of the object.

3.) less

potential energy = - KQ1Q2/r

or amount of work require to move to the position so we can observe here the electric is caused by positive charge is electric field is outward, so the charge we have is negative so we require more energy to move the charge from B to C hence will gain more energy at point C

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