Posted by Rachel on Saturday, April 9, 2011 at 11:46am.
Not exactly write a formula. You have to analyze the problem, then derive the formula. We don't write formulas in Physics, the Creator did that.
Here first find the distance between wires (so what is the distance between x=-2a and x=a) The force at the origin? Well it is the sum of the two forces from each wire.
Force from wire1 is kI/(2pi*distance)
http://dev.physicslab.org/Document.aspx?doctype=3&filename=Magnetism_CurrentCarryingWires.xml
The other force is similar, but the distances are different.
Now signs. Use your right hand rule, and determine the force direction for each wire. You dont know the direction for current I2, but if it is into the page, then the force subtracts from the first force.
Well, add the forces, with the +- force for the second force.
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