Try the fastest way to create flashcards
Question

# Alternating current (AC) circuits use complex numbers to represent impedance in ohms. To find the total impedance in a circuit, you need to find the sum of the impedances from each part of the circuit. A circuit has partial impedances of 4.2 + 3i and 5 - 2.2i. What is the total impedance for the circuit?

Solution

Verified
Step 1
1 of 2

As stated, the total impedance in a circuit is the sum of the impedances from each part of the circuit. Hence, we simply add the two given partial impedances. Letting $\textbf{Z}$ be the total impedance, we have:

$\textbf{Z}=(4.2+3i)+(5-2.2i)$

$\textbf{Z}=4.2+3i+5-2.2i$

$\color{#c34632}{\textbf{Z}=9.2+0.8i\text{ ohms}}$

## Recommended textbook solutions #### Algebra 2 Common Core

1st EditionISBN: 9780133186024 (1 more)Basia Hall, Charles, Kennedy
7,537 solutions #### enVision Algebra 2

1st EditionISBN: 9780328931590 (1 more)Al Cuoco
3,573 solutions #### Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405 (3 more)Boswell, Larson
5,067 solutions #### Big Ideas Math: Algebra 2 A Common Core Curriculum

1st EditionISBN: 9781642088052Laurie Boswell, Ron Larson
5,067 solutions