<^< Flux Linkage and Current | Course Index | Examples: Inductance >^>
![A graph showing how energy stored in an inductor is related to flux linkage and current A graph showing how energy stored in an inductor is related to flux linkage and current](https://www.matrixtsl.com/courses/ecc/uploads/indengy.png)
Graph of energy stored related to flux linkage and current
The energy stored in an inductor is the area under the graph of flux linkage (N Φ) plotted against current (I). This area is given by:
Area = half height times base
= ½ (N Φ) I
Since L I = N Φ:
Area = ½ (L I) x I
Thus the energy stored in an inductor is proportional to the product of the inductance and the square of the current, i.e.
E = ½ L I2
where E is the energy (in Joules), L is the inductance (in Henries), and I is the current (in Amps).
<^< Flux Linkage and Current | Course index | Examples: Inductance >^>