Magnetic field in a infinitley long wire

AI Thread Summary
To determine the current in the second infinitely long wire, the magnetic field produced by the first wire must be calculated at the specified point where the total magnetic field is zero. The relevant equation for the magnetic field due to an infinitely long wire is derived from Ampère's Law, which states that the magnetic field B at a distance r from a wire carrying current I is given by B = (μ₀I)/(2πr). To find the current in the second wire, the magnetic fields from both wires must cancel each other out at x = 1.6 cm. Additionally, the magnetic field at x = 5 cm can be calculated using the same principles, taking into account the contributions from both wires. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement


An infinitely long wire lies along the z axis and carries a current of 12 A in the positive z direction. A second infinitely long wire is parallel to the z axis at x = 8.2 cm.

a.)Find the current in the second wire if the magnetic field at x = 1.6 cm is zero.
b.)What is the magnetic field at x = 5 cm?


Homework Equations


F=I(LxB)


The Attempt at a Solution


I am lost with this one.
 
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What is the relevant equation for the field due to current carrying infinite long wire?
 

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