Electric Potential Video Lessons

Concept

# Problem: The electric potential at a point that is halfway between two identical charged particles is 300 V. What is the potential at a point that is 25% of the way from one particle to the other?

###### FREE Expert Solution

Electric potential is a scalar, therefore we'll sum the contribution of charges at the point of interest.

Initially:

$\begin{array}{rcl}\mathbf{V}& \mathbf{=}& \mathbf{k}\mathbf{\left(}\frac{{\mathbf{Q}}_{\mathbf{1}}}{\mathbf{r}}\mathbf{+}\frac{{\mathbf{Q}}_{\mathbf{2}}}{\mathbf{r}}\mathbf{\right)}\\ \mathbf{300}& \mathbf{=}& \mathbf{k}\mathbf{\left(}\frac{\mathbf{q}}{\mathbf{r}}\mathbf{+}\frac{\mathbf{q}}{\mathbf{r}}\mathbf{\right)}\\ \mathbf{300}& \mathbf{=}& \frac{\mathbf{2}\mathbf{kq}}{\mathbf{r}}\\ \mathbf{150}& \mathbf{=}& \frac{\mathbf{kq}}{\mathbf{r}}\end{array}$

94% (439 ratings)
###### Problem Details

The electric potential at a point that is halfway between two identical charged particles is 300 V. What is the potential at a point that is 25% of the way from one particle to the other?

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.