Inductors Energy Stored

Overview

Engineering reference data for Inductors Energy Stored in electrical engineering.

Key Formulas

Ohm's Law

$V = IR$

Voltage = Current × Resistance.

Power

$P = VI = I^2R = V^2/R$

Electrical power.

Energy

$E = Pt$

Energy = Power × Time.

Variables

Symbol	Description	Unit
$V$	Voltage	V
$I$	Current	A
$R$	Resistance	Ω
$P$	Power	W

Formula Application

The energy stored in an inductor's magnetic field is given by:

$W = \frac{1}{2} L I^2$

where:

• $W$ is the energy stored in joules (J),
• $L$ is the inductance in henrys (H),
• $I$ is the current in amperes (A).

Worked Example

For an inductor with inductance $L = 10\,\text{H}$ carrying a current $I = 5\,\text{A}$:

$W = \frac{1}{2} \times 10\,\text{H} \times (5\,\text{A})^2 = \frac{1}{2} \times 10 \times 25 = 125\,\text{J}$

This calculation demonstrates how energy storage scales with the square of the current and linearly with inductance.

References

• Original Source