Electricity & Magnetism

Inductive Reactance

XL=ωLX_L = \omega L

Opposition to AC current flow by an inductor.

Variables

X_L
Inductive reactance
Opposition to AC by inductor
Ω
ω
Angular frequency
ω = 2πf
rad/s
L
Inductance
Inductance
H

Derivation

From V = L(dI/dt) for I = I₀sin(ωt), X_L = V₀/I₀ = ωL.

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Common questions

What is the Inductive Reactance formula?

Inductive Reactance is written Xₗ = ωL. Opposition to AC current flow by an inductor. It belongs to Electricity & Magnetism, under AC Circuits.

What are the units in Xₗ = ωL?

In SI units, X_L is inductive reactance, measured in kg·m²/(A²·s³); ω is angular frequency, measured in s⁻¹; L is inductance, measured in kg·m²/(A²·s²).

How is the Inductive Reactance formula derived?

From V = L(dI/dt) for I = I₀sin(ωt), X_L = V₀/I₀ = ωL. The result is Xₗ = ωL.