# Electric potential and electric potential energy concept questions

Hello. This is my first post! Thanks in advance for any help given.

## Homework Statement

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.

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

2. The work done on a -17.0 C charge moved along the first path is __________ the work done on a -17.0 C charge moved along the second path.

3. The electric potential energy of a -17.0 C charge at point B is ___________ the electric potential energy of a -17.0 C charge at point C.

W=Fd
V=U/q

## The Attempt at a Solution

1. For this I put equal to because the A and B are on the same equipotential surface.

2. For this I put equal to because work is path independent.

3. For this one I'm unsure how to explain in terms of equations or concepts. I have multiple tries to guess and get the right answer, but I wish to know of how I can actually get to the right choice for this one. Any suggestions or hints?

Andrew Mason
Homework Helper
3. For this one I'm unsure how to explain in terms of equations or concepts. I have multiple tries to guess and get the right answer, but I wish to know of how I can actually get to the right choice for this one. Any suggestions or hints?
Is there a potential difference between B and C? Which direction is the force on a negative charge?

AM

ehild
Homework Helper
What is the definition of electric potential? How are work of the electric field and potential difference related?

ehild

Thanks!