Who foots the (magnetic) energy bill?
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The potential energy of a magnet ofmagnetic moment, , in a magneticfield, , is defined as the mechanical work of magnetic force (actually ofmagnetic torque) on re-alignment of the vector of the Magnetic dipole moment, and is equal: ... Energy is also stored in a magnetic field.
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The energy comes from the voltage driving the current that causes magnetic induction. You have to do external work keeping the voltage at a certain level, which will be resisted whenever an external charge interacts with the magnetic field caused by the voltage. So the energy comes from whatever drives the voltage... whether it be you on a stationary bicycle, nuclear reactions in a power plant, etc.
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