Answer: (a) Show that the system of differential equations for the charge on the
Chapter 4, Problem 20(choose chapter or problem)
(a) Show that the system of differential equations for the charge on the capacitor q(t) and the current \(i_{3}\)(t) in the electrical network shown in FIGURE 4.6.7 is
\(R_{1} \frac{d q}{d t}+\frac{1}{C} q+R_{1} i_{3}=E(t)\)0
\(L \frac{d i_{3}}{d t}+R_{2} i_{3}-\frac{1}{C} q=0\)
(b) Find the charge on the capacitor when L= 1 h, \(R_{1}\)= 1\(\Omega\), \(R_{2}\)= 1\(\Omega\), C= 1f,
\(E(t)=\left\{\begin{array}{lr}0, & 0<t<1 \\50 e^{-t}, & t \geq 1\end{array}\right.\)
\(i_{3}\)(0)= 0, and q(0)= 0.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer