Two coils with inductances $$L_1$$ and $$L_2$$ are connected in parallel. An AC voltage $$U$$ is applied to the two coils. The total current $$\class{red}{I}$$ divides at the node into the current $$\class{red}{I_1}$$ flowing through the first coil and the current $$\class{red}{I_2}$$ flowing through the second coil.