Question:
Find the dimensions of
a)Electric field,
b)Magnetic field,
c)Magnetic permeability μ0
Solution:
a)Electric field $=F / q=\left[\mathrm{MLT}^{-2}\right] /[\mathrm{IT}]=\left[\mathrm{ML}^{-3} \mathrm{~T}^{-1}\right]$
b) Magnetic field $=\mathrm{F} / \mathrm{qv}=\left[\mathrm{ML} \mathrm{T}^{-2}\right] /[\mathrm{L}]=\left[\mathrm{MT}^{-2} \mathrm{|}^{-1}\right]$
c) Magnetic Permeability $=\mathrm{B} \times 2 \pi \mathrm{\pi a} / \mathrm{l}=\left[\mathrm{MT}^{-2} \mathrm{~F}^{-1}\right][\mathrm{L}] /[\mathrm{I}]=\left[\mathrm{MLT}^{-2} \mathrm{~V}^{-2}\right]$