In Figure P1 5-1 (, L_{1}=10 mathrm{mH}, L_{2}=5 mathrm{mH}, M=7 mathrm{mH}), and the outputs are (v_{2}(t)=0) and

Question:

In Figure P1 5-1 $, L_{1}=10 \mathrm{mH}, L_{2}=5 \mathrm{mH}, M=7 \mathrm{mH}$, and the outputs are $v_{2}(t)=0$ and $i_{2}(t)=35 \sin 1000 t \mathrm{~A}$.

(a) Write the $i-v$ relationships for the coupled inductors using the reference marks given.

(b) Solve for the source voltage $v_{\mathrm{S}}(t)$.

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