Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 31 - Electromagnetic Oscillations and Alternating Current - Problems - Page 936: 8

Answer

The inductors can be replaced with a single inductor of equivalent inductance $L$ such that $L = L_1+L_2+...$ The capacitors can be replaced with a single capacitor of equivalent capacitance $C$ such that $\frac{1}{C} = \frac{1}{C_1}+\frac{1}{C_2}+...$ The resistors can be replaced with a single resistor of equivalent resistance $R$ such that $R = R_1+R_2+...$

Work Step by Step

When devices are connected in series in a circuit, the order of the devices does not affect the behavior of the circuit. We can rearrange the devices so the inductors are on the left, the capacitors are in the middle, and the resistors are on the right. The inductors can be replaced with a single inductor of equivalent inductance $L$ such that $L = L_1+L_2+...$ The capacitors can be replaced with a single capacitor of equivalent capacitance $C$ such that $\frac{1}{C} = \frac{1}{C_1}+\frac{1}{C_2}+...$ The resistors can be replaced with a single resistor of equivalent resistance $R$ such that $R = R_1+R_2+...$
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