Two of your friends separately calculated a magnetic field line integral around a long, straight current-carrying wire

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Two of your friends separately calculated a magnetic field line integral around a long, straight current-carrying wire in a homework problem, but they arrived at different answers. Now they want your help, so they send you a copy of their work. Andy chose a square path for his line integral, a path centered on the wire in a plane perpendicular to the wire. Beth chose a path in the shape of an equilateral triangle encircling the wire in the same plane, with one side exactly equal in length to and aligned with one side of Andy's square path. The wire penetrates the center of the square but not the center of the triangle. Andy came up with a value of \(64 \mathrm{~T} \cdot \mathrm{m}\) for the line integral, and Beth calculated \(89 \mathrm{~T} \cdot \mathrm{m}\). Andy's integral along the common side was \(10 \mathrm{~T} \cdot \mathrm{m}\), and Beth's integral along this side was \(45 \mathrm{~T} \cdot \mathrm{m}\). Unfortunately they forgot to send you any details about the current in the wire. You begin to text them for more information, but you suddenly realize that you need nothing more to evaluate quite a bit about their work.

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