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Two long parallel wires are 0.400 m apart and carry currents of 4.00 A (wire1) and...

Two long parallel wires are 0.400 m apart and carry currents of 4.00 A (wire1) and 6.00 A (wire2). The length of each wire is 0.6m. What is the magnitude of the force on wire2? I already know the answer and just need an explanation Thank you!.

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Answer #1

We are given that d = 0.4m,

We are to find the force on wire 2 due to the current in wire 1.

- First, from ampere's law the magnetic field at the position of wire 2 due to current in wire 1 is, this works when 'wire 1' is ifinitely long, but if you consider just an infinitesimal part of 'wire 2', in comparison wire 1 is infinite.

- The direction of this magnetic field is into the page as shown above in blue.

- This magnetic field causes a force to act on the wire 2 due to the current that it is carrying. This force is given by.

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