# Homework Help: Electric potential Energy

1. Jul 27, 2015

### Mr.somebody

1. The problem statement, all variables and given/known data
Describe the motion of a test charge in a non-uniform electric field.

By considering the electric forces acting and Newton’s second law, explain the type of motion occurring in a non-uniform electric field.

2. Relevant equations

3. The attempt at a solution
I wrote that the direction of the field is the opposite to the direction a test charge would move in.

the second question i dont understand at all .... I think it would be circular motion? Fc?

2. Jul 27, 2015

### Staff: Mentor

It does not have to be. You can shoot electrons into a field with a velocity perpendicular to the field, for example.

The motion will depend on the field, so it is hard to describe the motion in general. You can make a statement about the acceleration of the test charge, however.

3. Jul 27, 2015

### Mr.somebody

in a uniform e-field the acceleration would be constant but in a non-uniform field it would accelerate at an increasing rate? Is this correct?

4. Jul 27, 2015

### SammyS

Staff Emeritus
Maybe at a decreasing rate ... maybe at a varying rate, up & down, changing direction, etc.

5. Jul 28, 2015

### Staff: Mentor

We don't know unless we get the geometry of the field and the initial position and velocity of the electron.