# inductor

#### Ronald19802014!

Joined Jan 25, 2023
2
1. What will happen in the circuit when I will connect an inductor |Z| ≤ 9 Ohms
in parallel ?

(This will shorten the circuit) ?

2. What will happen in the circuit when I will connect an inductor |Z| ≥11k Ohms,
in series ?

thx

#### WBahn

Joined Mar 31, 2012
28,512
In parallel or in series with what?

What does it mean to "shorten" a circuit?

You are expected to provide your best attempt to answer your homework question. We will then help guide to through the next step.

#### drjohsmith

Joined Dec 13, 2021
683
1. What will happen in the circuit when I will connect an inductor |Z| ≤ 9 Ohms
in parallel ?

(This will shorten the circuit) ?

2. What will happen in the circuit when I will connect an inductor |Z| ≥11k Ohms,
in series ?

thx
How about a picture of the proposed circuit ?

#### Papabravo

Joined Feb 24, 2006
20,162
Inductors in parallel in an AC circuit combine just like resistors in a DC circuit. For two resistors in parallel

$$R1\; ||\; R2\;=\;\cfrac{R1\; \times \;R1}{R1\;+\;R2}$$

Apply the same rule for the Inductive Reactance and you have your answer. If you have the intestinal fortitude to work with impedances, then:

$$Z1\;||\;Z2\;=\;\cfrac{Z1\;\times\;Z2}{Z1\;+\;Z2}$$

where

$$Z_L\;=\;R_L\;+\;j\omega L$$

which you can expand to get real and imaginary parts or express in polar form if you prefer.

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