Ampere and Pythagoras

Two parallel wires carry \(1~\mbox{A}\) currents in unknown directions. The distance between the axes of the wires is \(10~\mbox{cm}\). What is the magnitude of the magnetic field \(B\) in Teslas at a point P located \(6~\mbox{cm}\) away from the axis of one of the wires and \(8~\mbox{cm}\) away from the axis of the other wire?

Details and assumptions

\[\frac{\mu_{0}}{4\pi}= 10^{-7}~\mbox{H/m}\]

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