Calculating Net Force on a Point Charge in a 2D Coulomb's Law System

AI Thread Summary
To calculate the net force on point charge 1 in a 2D Coulomb's Law system, first determine the individual forces exerted by the other charges (2, 3, and 4) using the formula Fnet = Kq1q2/r^2. Each force must be treated as a vector, requiring the calculation of their components using trigonometric ratios based on the angles involved. After calculating the forces from each charge, sum the vector components to find the total net force on charge 1. Additionally, ensure clarity on the arrangement of charges and the distances between them to accurately compute the forces. Understanding vector addition is crucial for incorporating the 2D aspect of the problem.
cobhc27
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Homework Statement



Consider the arrangement of point charges shown below. Calculate the net force on point charge 1 given the arrangement of the point charges and the separation of the charges.

1=2=3=e-
2=e+
r=0.4cm
=0.0004m
K=9x10^9
Fnet=?

Please use this link for an image of the "point charges shown below"
http://i277.photobucket.com/albums/kk71/cobhc_27/physics101.jpg

Homework Equations



Fnet=
Kq1q2
r^2


The Attempt at a Solution



Fnet=
Kq1q2
------
r^2

=
kq^2
-----
r^2

I assume you have to solve for 1 2 3 and 4 in this case, but I don't have a great idea on how to. From there, perhaps you add up each net force (but I don't know how to incorporate the 2d part). Any help given is greatly appreciated.
 
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cobhc27 said:
From there, perhaps you add up each net force (but I don't know how to incorporate the 2d part

Remember that force is a vector. To add vectors (in two-dimensions or in n-dimensions), add the components of the vector. The components can easily be calculated using trigonometric ratios, especially since you know the angle.

cobhc27 said:
1=2=3=e-
2=e+

Could you clear this up a bit? You have 2 twice.
 
It's pretty easy:

1. Calculate the force on 1 caused by 2.
2. Calculate the force on 1 caused by 3.
3. Calculate the force on 1 caused by 4.
4. Add the forces together.

Do you know how to calculate the distance between 4 and 1? Do you know how to add vectors?
 
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