Force per unit length between two parallel whires of +/- X volts

AI Thread Summary
The discussion focuses on calculating the force per unit length between two parallel wires charged with a potential of +/- X volts and separated by distance D. The magnetic field generated by the current in the wires is described by the equation B = μ0*I /(2πr). The force between the wires is determined using the equation F = B × IL, where L represents the length of the wire. Participants suggest clarifying the notation for current density, recommending the use of J to avoid confusion. The conversation emphasizes deriving an expression for the current in the wires to facilitate the calculation of the force per unit length.
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Homework Statement


Two parallel whires, separated by a distance D (midpoint distance), are charged with a current density L (each whire has a radius R). If the whires have the potential +/- X Volts, what is the force per unit length between them?

Homework Equations


B = μ0*I /(2πr) is describing the magnetic field at a distance r perpendicular from the whire.

F=B×IL is describing the force


The Attempt at a Solution


?
 
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The L in your second equation is the length of the wire, I think. Current density is the current per unit cross sectional area of the wire. It might be helpful to call this J or something so that you don't get confused.

It seems like a good idea would be to start off by getting an expression for the current in the wires. Your second equation can be rearranged to give the force per unit length in terms of the other quantities in the question.
 
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