Answer: (a) Show that the system of differential equations for the currents i2(t) and
Chapter 4, Problem 15(choose chapter or problem)
(a) Show that the system of differential equations for the currents \(i_{2}(t) \text { and } i_{3}(t)\) in the electrical network shown in FIGURE 4.6.5 is
\(L_{1} \frac{d i_{2}}{d t}+R i_{2}+R i_{3}=E(t)\)
\(L_{2} \frac{d i_{3}}{d t}+R i_{2}+R i_{3}=E(t)\)
(b) Solve the system in part (a) if \(R=5 \Omega\), \(L_{1}\)=0.01h, \(L_{2}\)=0.0125 h, E=100 V, \(i_{2}\)(0)= 0, and \(i_{3}\)(0)= 0.
(c) Determine the current \(i_{1}\)(t).
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