Purchase Solution

# Working with Point Charges - Potential Energy

Not what you're looking for?

Two point charges each of magnitude 2.00 ìC are located on the x axis. One is at x = 1.00 m, and the other is at x = -1.00 m.
(a) Determine the electric potential on the y axis at y = 0.500 m.
(b) Calculate the change in electric
potential energy of the system as a third charge of
-3.00 ìC is brought from infinitely far away
to a position on the y axis at y = 0.500 m.

##### Solution Preview

Potential at y = 0.5m is the sum of the potentials of both the charges.
<br>
<br>V(y=0.5) = Q/(4 pi * E_0)R + Q/(4 pi * E_0)R
<br>
<br>where E_o = permitivity of free space and R is the distance from the charge to the point.
<br>
<br>from the attached figure, we get, using Pythagorous theorem,
<br>
<br>R = Sqrt[1^2 + 0.5^2] = sqrt[1.25] = 1.12m
<br>
<br>Also we know, 1/(4 pi E_o) = k = 9 * 10^9
<br>
<br>Thus, V at the ...

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### The Moon

Test your knowledge of moon phases and movement.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.