What is the electric force acting on the charge at the origin?

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SUMMARY

The electric force acting on the charge at the origin, due to the arrangement of charges q1 = 4.3 nC, q2 = 6.6 nC, and q3 = -2.3 nC, is calculated to be 1.1739e-5 N at an angle of 270° counterclockwise from the negative x-axis. The net electric field at the origin is determined to be 4.3e12 N/C, also at 270° counterclockwise from the negative x-axis. The calculations involve using Coulomb's law, specifically the formula F=kQ1Q2/r^2, and require vector addition of the forces from each charge. The angle of 270° indicates a downward direction along the y-axis, confirming the repulsion and attraction dynamics between the charges.

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  • Basic trigonometry for angle determination
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1. Consider three charges q1 = 4.3 nC, q2 = 6.6 nC, and q3 = -2.3 nC, arranged in a triangle as shown below.

(a) What is the electric force acting on the charge at the origin?
N, ° counterclockwise from the negative x-axis

(b) What is the net electric field at the position of the charge at the origin?
N/C, ° counterclockwise from the negative x-axi
picture of problem
http://www.webassign.net/holtphys/p16-38alt.gif

2. Homework Equations
F=kQ1Q2/r^2


3. The Attempt at a Solution
a) What is the electric force acting on the charge at the origin?
1.1739e-5 N, 270 ° counterclockwise from the negative x-axis

(b) What is the net electric field at the position of the charge at the origin?
4.3e12 N/C, 270 ° counterclockwise from the negative x-axis
 
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p16-38alt.gif


You have to show your working and your reasoning or we cannot help you.
The procedure is to work out the force vectors for each charge and add them.
(Hint: pythagoras)

270 degrees looks a bit odd to me. That would be pointing along the +y axis.
reality-check: q1 is repulsed by q2 and attracted to q3 so the force points down and to the right ... so the angle should be less than 90 degrees.

Your equations are more carefully written like this:
[tex]\vec{F}_{a,b}=\frac{kq_aq_b}{r_{b,a}^2}\hat{r}_{b,a}\qquad \vec{F}=q\vec{E}[/tex]
 
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