Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - Guided Practice for Examples 3, 4, and 5 - Page 278: 10

Answer

The impendance of the circuit is $5-4i$ ohms.

Work Step by Step

The resistor has a resistance of $5$ ohms, so its impedance is $5$ ohms. The inductor has a reactance of $3$ ohms, so its impedance is $3i$ ohms. The capacitor has a reactance of $7$ ohms, so its impedance is $-7i$ ohms. Impedance of circuit: $=5+3i+(-7i)$ Simplify. $=5-4i$
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