PX157 - D3e - inductors in parallel

\begin{aligned} \frac{d I_{1}}{d t} & = \frac{V}{L_{1}} \\ \frac{d I_{2}}{d t} & = \frac{V}{L_{2}} \\ \frac{d I}{d t} & = (\frac{1}{L_{1}} + \frac{1}{L_{2}}) V \end{aligned}

\begin{aligned} \frac{d I}{d t} & = \frac{V}{L_{e q}} \\ \frac{1}{L_{e q}} & = \frac{1}{L_{1}} + \frac{1}{L_{2}} \end{aligned}

\frac{1}{L_{e q}} = \frac{l_{1}}{μ N^{2} A} + \frac{l_{2}}{μ N^{2} A} = \frac{l_{1} + l_{2}}{μ N^{2} A}