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2. Real coil
The real coil is the seat of non-linear phenomena that complicate calculations enormously. In particular, in the magnetic circuit :
material saturation: b and h are no longer proportional;
magnetic hysteresis, which results in a doubling of the b (h) characteristic;
the appearance of induced currents known as eddy currents.
The last two phenomena give rise to losses in the magnetic circuit, known as hysteresis losses and eddy-current or iron losses.
First, we'll assume that hysteresis and eddy currents are negligible 2.1
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The Ultimate Scientific and Technical Reference