A single loop consists of inductors \( \left(L_{1}, L_{2}, \ldots\right) \), capacitors \( \left...

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A single loop consists of inductors \( \left(L_{1}, L_{2}, \ldots\right) \), capacitors \( \left(C_{1}, C_{2}, \ldots\right) \), and resistors \( \left(R_{1}, R_{2}, \ldots\right) \) connected in series as shown, for example, in Fig. 31-27a. Show that regardless of the sequence of these circuit elements in the loop, the behavior of this circuit is identical to that of the simple \( L C \) circuit shown in Fig. 31-27b.
(a)
(b)
Figure 31-27
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