# Work on done on a test charge

• rgo

## Homework Statement

I am looking at quation 10 but it relates to question 9
http://137.186.166.185:8080/question.gif

## Homework Equations

In question 9 I calculated the electric field to be 5.4 X10^6 N/c.
I did this by using the equation E = K(Q/r^2)

## The Attempt at a Solution

I would assume that I would use this equation for question 10
W = PE2 - PE1 = -qEd

therfore

W = -(1.5x10^-6 C)(5.4 x 10^6 N/c)(0.25m)
W= -2.025 J

The sign is negative because the work is in the opposite direction of the electrical field.

This seems to be too simple. Am I missing something?

Thanks for the help

Last edited by a moderator:
Youre moving a positive test charge from lower potential to higher potential, so the work done on the charge is potential energy at D - potential energy at B. What does that say about the sign?

I think I got it

Thats right, so my final fomula should be:
W = (1.5x10^-6 c)(5.4 X10^6 N/c)(0.25m) - (1.5x10^-6 c)(0)(0.25m)
W = 2.025 J