\[U=\frac{1}{2}Li^2\]
Variables
Umagnetic energy stored (J)
Linductance (H)
ielectric current (A)
Description
What is this formula?
This formula calculates the magnetic energy stored inside an inductor carrying electric current. The energy is stored in the magnetic field generated by the current flow.
When to use it
Use this equation when analyzing inductors, magnetic energy storage systems, switching circuits, and electromagnetic devices.
Example
An inductor with an inductance of 0.12 H carries a current of 5 A. Calculate the stored magnetic energy.
Data:
L = 0.12 H
i = 5 A
Formula:
U = (L*i²)/2
Substitution:
U = (0.12*5²)/2
Result:
U = 1.5 J
Applications
- Power electronics
- Magnetic energy storage
- RL circuit analysis
- Electromagnetic systems
- Switching device design