# Magnitude (electric charge: need correction)

• BunDa4Th
In summary, the problem involves calculating the magnitude and direction of the Coulomb force on three charges (6.00 µC, 1.50 µC, and -2.00 µC) shown in Figure P15.10. The force is calculated using the equation F = K|q1||q2|/r^2. The first attempt at solving the problem resulted in a close but incorrect answer due to rounding errors. The correct method involves summing the forces from each charge, taking into account the vector nature of force and Newton's third law. The order of the charges from left to right is q1, q2, and q3. The force between the charges is either attractive or repulsive, depending

## Homework Statement

Calculate the magnitude and direction of the Coulomb force on each of the three charges shown in Figure P15.10.

http://www.webassign.net/sf5/p15_10.gif

thats 3 cm if its to small to see.

6.00 µC charge
Magnitude

1.50 µC charge
Magnitude

-2.00 µC charge
Magnitude

## Homework Equations

F = K|q1||q2|/r^2

## The Attempt at a Solution

I tried this problem and it said i was incorrect but within 10% to the answer and that my rounding is off or something.

this is what i did:

8.9875 x 10^9 (6 x 10^-6)(2 x 10^-6)/.05^2
(converted to m and C)

.10785/.05^2

= 43.14 N

That looks correct but it is saying I am off. It say that I am within 10% to the answer. Can anyone look at this and tell me what I am doing incorrectly?

For the other 2 I am not sure what to do, but i gave it a try

for 1.5uC i did

K(1.5 x 10^-6)(2 x 10^-6)/.02^2 this completely got me the wrong answer and not sure where to start on this.

There will also be a force from q3 acting on q1. You must sum the forces from each one.

okay when you say q3 acting on q1 do i do the same thing i did up top? that i did for 6uC because i don't think i quiet understand it.

also from the order left to right how would the order of q1, q2, and q3 be?

Okay, I understand what you meant by force from q3 acting on q1 now is. I was able to figure this out now. Thanks for that help that i would probably never would have thought of.

I still have trouble figuring out how to get -2uC. How would i go about solving this? I understand how to get the other two but this one seem to be different or would it be the sum of the two forces i found?

You would use the same method as the others. Remember that Coulomb's law obeys Newton's third law, so the force exerted on q1 by q2 is equal and opposite to the force of q2 on q1. Keep in mind that force is a vector quantity. Since one of the charges is negative you have to figure out if the force between the charges you are using is attractive or repulsive.

Thanks for the explanation on that and i was able to get it and it was attractive charges because of the different sign.