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A cable of length L aligned with the x-axis carries a current I. It is in an unknown magnetic field B. The force produced by the field on the cable
is:
F₁ = 3j + 2k
Now the cable is rotated so that it aligns with the y-axis, with everything else unchanged. The force is now
F₂ = -3î - 2k
Calculate B in terms of L and I.

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