Question

The dimensions of energy density of magnetic field $\frac{1}{2} \frac{B^2}{\mu_0}$, where $B$ is magnetic field and $\mu_0$ is the magnetic permeability of vacuum, is

• A. $\left[ MLT ^{-2}\right]$
• B. $\left[ ML ^2 T ^{-1}\right]$
• C. $\left[ ML ^2 T ^{-2}\right]$
• D. $\left[ ML ^{-1} T ^{-2}\right]$

Answer 1

Answer: (D)

Energy density of magnetic field.
$\frac{B^2}{2 \mu_0}=\frac{\text { Energy }}{\text { Volume }}=\frac{M L^2 T^{-2}}{L^3}=\left[M L^{-1} T^{-2}\right]$