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crybllrd
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Homework Statement
Three point charges lie along a circle of radius r at angles of 30°, 150°, and 270° as shown in the figure below. Find a symbolic expression for the resultant electric field at the center of the circle.
Homework Equations
[itex]\vec{E}=\frac{k_{e}q}{r^{2}}[/itex]
The Attempt at a Solution
The two positive charges' horizontal components will cancel out, and their vertical components will combine. This is for the two positive charges:
[itex]=2\frac{k_{e}q}{r^{2}}sin(30)[/itex]
The negative charge is all in the vertical direction.
[itex]=-2\frac{k_{e}q}{r^{2}}[/itex]
I pulled the -2 from -2q out front.
Combining them for the total field:
[itex]=2\frac{k_{e}q}{r^{2}}sin(30)+-2\frac{k_{e}q}{r^{2}}[/itex]
[itex]=2\frac{k_{e}q}{r^{2}}[sin(30)+1][/itex]
How does that look?