(Solution) - The coil in Figure carries current i 2 00 A -(2025 Original AI-Free Solution)

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The coil in Figure carries current i = 2.00 A in the direction indicated, is parallel to an xz plane, has 3.00 turns and an area of 4.00 x 10-3 m2, and lies in a uniform magnetic field B = (2.00 i - 3.00 j - 4.00 k) mT. What are?
(a) The magnetic potential energy of the coil-magnetic field system and
(b) The magnetic torque (in unit-vector notation) on thecoil