Finding current in a parralle wire

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Two parallel wires, separated by 8.0 cm and carrying equal but opposite currents, create a magnetic field at point P, located 2 cm from wire 1, measured at 0.01 T directed downward. The magnetic field at point P results from the superposition of the magnetic fields generated by both wires. The formula for the magnetic field, B, is given by B = (μI)/(2πr), where μ is a constant and r is the distance from each wire to point P. The user initially attempted to solve for the current I directly but made an error by not accounting for the contributions from both wires. Understanding the superposition principle is crucial for correctly calculating the current in wire 1.
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Homework Statement



two long straight parallel wires separated by 8.0 cm carry currents of equal magnitude but heading in opposite directions. Wires are perpendicular to the plane of the page. Point P is 2cm form wire 1. magnetic field at P = 0.01 T directed downward ( neg y direction). Calc Current in wire 1 and its direction.


Homework Equations




B= (μ.I)/2 pi r where mu not is 4pi X 10^-7 and r is the distance of the mag field from the wire.

The Attempt at a Solution



I tried using the given information and instead of solving for B solve for I (current) However my answer was incorrect.

Did i miss a step?

Thank You
 
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You have not been very clear in showing your entire approach.
However, I believe that the likely mistake that you made is overlooking the fact that the magnetic field of 0.01 T at P is the superposition of the individual magnetic fields from wires 1 and 2. Thus,
B_{p} = \frac{μ I}{2 \pi r_{1}} + \frac{μ I}{2 \pi r_{2}}
where r_{1} denotes distance from wire 1 to P and r_{2} denotes distance from wire 2 to P.
 
Thank you :) that's helps a ton
 
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