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Least amount of current through a coil

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A wood cylinder of mass m = .250 kg and length L=.100m, with N =10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle theta to the horizontal, with the plane coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.5 T, what is the least amount of current i through the coil that keeps the cylinder from rolling down the incline?

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This solution helps find the least amount of current through a coil to keep a cylinder from rolling.

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A wood cylinder of mass m = 0.250 kg and length L = 0.100m, with N =10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle theta to the horizontal, with the plane coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.5 T, what is the least amount of current i through the coil that keeps the cylinder from ...

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