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Illustration Two coils connected in series

Two coils connected in series
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Two coils with inductances \(L_1\) and \(L_2\) are connected in series. An alternating voltage \(U(t)\) is applied to the two coils. The voltages \(U_1\) and \(U_2\) are at the individual coils. The current \( \class{red}{I} \) is the same through the two coils.