Physics

Energy Density of Fields Calculator

Find the energy density stored in electric and magnetic fields.

Calculated Output

Total energy density (J/m³) 99,471.84

Electric part (J/m³) 0

Magnetic part (J/m³) 99,471.84

Formula: u = ½·ε₀·E² + B² ÷ (2·μ₀)

Step-by-Step Breakdown

1. Values used:

2. Electric field = 1,000 V/m

3. Magnetic field = 0.5 T

5. Total energy density = 99,471.84J/m³

6. Electric part = 0J/m³

7. Magnetic part = 99,471.84J/m³

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The math behind it

u = ½·ε₀·E² (electric) + B²/(2μ₀) (magnetic). Magnetic energy density is usually far larger for everyday fields.

1000 V/m and 0.5 T → about 99,500 J/m³ (almost all magnetic).

Where is field energy stored?

In the field itself, throughout the region it occupies.