Electricity & Magnetism
Inductor Energy
Energy stored in magnetic field of inductor.
Variables
UJ
Stored energy
Energy in inductor
In SI units: kg·m²/s²
LH
Inductance
Inductance
In SI units: kg·m²/(A²·s²)
Allowed values: greater than 0
IA
Current
Current through inductor
Derivation
U = ∫P dt = ∫LI dI = ½LI².
Your notes
0/5000
Check value
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- L = 2 H (Inductance)
- I = 3 A (Current)
Result: U = 9 J
Other electricity & magnetism formulas with the same quantities
- RL Time Constant (Electromagnetic Induction) shares Inductance
- Ohm's Law (Electric Circuits) shares Current
- Electric Power (Electric Circuits) shares Current
- Electric Current (Electric Circuits) shares Current
- Magnetic Force on Wire (Magnetism) shares Current
- Biot-Savart Law (Magnetism) shares Current
Where this formula is listed
- Electricity & Magnetism formulas, under Electromagnetic Induction, alongside Faraday's Law, Magnetic Flux, Motional EMF, Mutual Inductance EMF and Transformer Equation.
- In the electricity & magnetism list it comes after Self-Inductance and before RL Time Constant.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Inductor Energy formula?
Inductor Energy is written U = (1/2)LI². Energy stored in magnetic field of inductor. It belongs to Electricity & Magnetism, under Electromagnetic Induction.
What are the units in U = (1/2)LI²?
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 = (1/2)LI².