Find position, magnitude, and direction

AI Thread Summary
To solve the problem of finding the position, magnitude, and direction of the current in wire 3, it is essential to understand the magnetic fields produced by the currents in wires 1 and 2. Wire 1, carrying an upward current of 1.5 A, generates a magnetic field that affects wire 2, which has a downward current of 4 A. The goal is to position wire 3 such that the net magnetic force on all three wires is zero, requiring careful calculation of the magnetic fields and forces involved. The magnetic field at a distance 'r' from an infinitely long wire can be determined using the appropriate equations, which are crucial for finding the required parameters for wire 3. Ultimately, the solution will involve balancing the magnetic forces to achieve equilibrium among the wires.
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Homework Statement



Three long wires( 1,2 and 3) are coplanar and hang vertically. The distance between wire 1 and 2 is 20 cm. On the left wire 1 carries an upward current of 1.5 A. To the right the wire 2 carries a downward current of 4 A. Wire 3 is located such that, when it carries certain current such that no net magnetic force acts upon any of the wires. Find the position of wire 3 and the magnitude and direction of the current in 3.


Homework Equations



Ummm...?


The Attempt at a Solution




I'm drawing a blank...This question confuses me.
 
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