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AC Components and Circuits
Inductive Reactance

Section 2-3 Inductive Reactance in Series and Parallel

XL Circuits

 

Inductive Reactance in Series

 

Equation

Total Series Inductive Reactance

XLT = XL1 + XL2 + XL3 + ... + XLn

Where

XLT = Total inductive of the series circuit
XL1, XL2, XL3, XLn = Reactance of the individual inductors

 

 

XLT = 2pf(L1 + L2 + L3 + ... + Ln)

XLT = 2pfLT

Inductive Reactance in Parallel

 

Equation

Total Parallel Inductive Reactance

 

XLT =

1
1

+

 1

+

 1

+  ... +

 1
XL1 XL2 XL3 XLn

Where

XLT = Total inductive of the parallel circuit
XL1, XL2, XL3, XLn = Reactance of the individual inductors

 

The product-over-sum equation and it's shorthand rendering are available for calculating the total inductive reactance of a parallel inductor circuit.

XLT = XL1XL2
XL1 + XL2

 or

XL1 || XL2

 

 

XL2 = XL1XT
XL1 � XT

Example

XL1 = 180W

XLT = 120W

XL2 =

XL1XT
XL1 � XT

XL2 =

180 x 120
180 � 120

XL2 = 360W

 

 

 

 

 

David L. Heiserman, Editor

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All Rights Reserved

Revised: June 06, 2015