Derivation of Magnetic Field Energy Density
Energy density = Energy/volume
UB = 1/2 (LI2)/Al
Flux = NBA = LI
B = μ0 NI/length
I = B (Length)/ Nμ0
UB = (1/2) (B (Length)/ Nμ0) (NBA)/A (length)
UB = (1/2μ0)B2
In the energy density of electromagnetic waves, both electric and magnetic fields contribute. Therefore total energy density is equal to the sum of the electric and magnetic fields.
U = UE + UB
U = (1/2)ε0E2 + (1/2μ0)B2
where:
- UE = Electrical Energy Density
- UB = Magnetic Energy Density
- ε0 = Permittivity,
- μ0 = Permeability
- E = Electric Field
- B = Magnetic Field
How to calculate Energy Density?
Energy density is a concept that describes the amount of energy stored in a given volume or mass of a substance. It is measured in units such as watt-hours per litre (Wh/L) or watt-hours per kilogram (Wh/kg). It has applications in various fields like physics, engineering, material science, etc.
There are various types of energy, such as kinetic energy, potential energy, chemical energy, electrical energy, magnetic energy, nuclear energy, thermal energy, and sound energy. The above types of energy play an important role in the understanding of energy density. They all contribute to the total energy stored in a system per unit volume or mass.
In simple words, energy density indicates the amount of energy stored in a specific volume or mass.
Table of Content
- Energy Density Definition
- Types of Energy Density
- Energy Density Formula
- Volumetric Energy Density
- Gravimetric Energy Density
- Derivation of Electric Field Energy Density
- Derivation of Magnetic Field Energy Density