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 path the charge moves parallel to the Y-axis to B and then parallel to the X-axis to C. In the second path, the charge moves directly from A to C. Select greater than, less than or equal to for the following statements.

The electric potential energy of a -14.0 ?C charge at point B is ___________ the electric potential energy of a -14.0 ?C charge at point C. The electric potential at point A is ___________ the electric potential at point B. The work done on a -14.0 ?C charge moved along the first path is __________ the work done on a -14.0 ?C charge moved along the second path.

The answers needed are either: greater than, less than, or equal to.

Explanation / Answer

1) The electric potential energy of a -14.0 C charge at point B is ___________ the electric potential energy of a -14.0 C charge at point C. Depends on the potential difference between B and C.

2) The electric potential at point A is equal to the electric potential at point B because the A and B are on the same equipotential surface.

3)  The work done on a -14.0 C charge moved along the first path is equal to the work done on a -14.0 C charge moved along the second path because work is path independent.

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