# Problem: A point charge is released from rest in a region containing an electric field. The charge will start to move: (A) in a direction that makes its potential energy increase (B) in a direction that makes its potential energy decrease (C) along a path of constant potential energy (D) Either A or B, depending on the sign of the point chargeA point charge is released from rest in a region containing an electric field. The charge will start to move: (A) in a direction of increasing electric potential (B) in a direction of decreasing electric potential (C) along a path of constant electric potential (D) Either A or B, depending on the sign of the point charge

###### FREE Expert Solution

Change in potential energy:

$\overline{){\mathbit{W}}{\mathbf{=}}{\mathbf{-}}{\mathbit{\Delta }}{\mathbit{U}}{\mathbf{=}}{\mathbf{-}}{\mathbf{\left(}}{\mathbf{∆}}{\mathbit{V}}{\mathbf{·}}{\mathbit{q}}{\mathbf{\right)}}}$

Change in electric potential:

$\overline{){\mathbf{\Delta }}{\mathbf{V}}{\mathbf{=}}{\mathbf{E}}{\mathbf{•}}{\mathbf{\Delta }}{\mathbf{d}}{\mathbf{=}}{\mathbf{E}}{\mathbf{\left(}}{\mathbf{d}}{\mathbf{f}}{\mathbf{-}}{\mathbf{d}}{\mathbf{0}}{\mathbf{\right)}}}$

(a)

Coulomb's force will do positive work. The work will be converted into kinetic energy of the charge.

When a force does positive work potential energy decreases.

91% (321 ratings) ###### Problem Details

A point charge is released from rest in a region containing an electric field. The charge will start to move:

(A) in a direction that makes its potential energy increase

(B) in a direction that makes its potential energy decrease

(C) along a path of constant potential energy

(D) Either A or B, depending on the sign of the point charge

A point charge is released from rest in a region containing an electric field. The charge will start to move:

(A) in a direction of increasing electric potential

(B) in a direction of decreasing electric potential

(C) along a path of constant electric potential

(D) Either A or B, depending on the sign of the point charge

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Potential concept. You can view video lessons to learn Electric Potential. Or if you need more Electric Potential practice, you can also practice Electric Potential practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Mahmood & Sickles' class at UIUC.