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Electricity & Magnetism
U=12LI2U = \frac{1}{2}LI^2

Energy stored in magnetic field of inductor.

Variables

U
Stored energy
Energy in inductor
J
L
Inductance
Inductance
H
I
Current
Current through inductor
A

Derivation

U = ∫P dt = ∫LI dI = ½LI².

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Common questions

What is the Inductor Energy formula?

Inductor Energy is written U = 1/2LI². Energy stored in magnetic field of inductor. It belongs to Electricity & Magnetism, under Electromagnetic Induction.

What are the units in U = 1/2LI²?

In SI units, U is stored energy, measured in kg·m²/s²; L is inductance, measured in kg·m²/(A²·s²); I is current, measured in A.

How is the Inductor Energy formula derived?

U = ∫P dt = ∫LI dI = ½LI². The result is U = 1/2LI².