magnetic field energy density

Question

Energy density u of magnetic field B in vacuum is?

RankGuru · Accepted Answer

1. **Definition**: Energy density ($u_B$) is the amount of magnetic energy stored in a field per unit volume.
2. **Mathematical Expression**: $u_B = \frac{1}{2} \frac{B^2}{\mu_0}$.
3. **Isolate Terms**: This can be written as **$\frac{B^2}{2 \mu_0}$**.
4. **Analogy**: It is analogous to electric field energy density $u_E = \frac{1}{2} \epsilon_0 E^2$.
5. **Dimensions**: Energy per volume ($[M L^{-1} T^{-2}]$).

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magnetic field energy density

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