Find the dimensions of

Question:

Find the dimensions of

(a) Electric field,

(b) Magnetic field,

(c) Magnetic permeability $\mu_{0}$

Solution:

(a) Electric field $=\mathrm{F} / \mathrm{q}=\left[\mathrm{MLT}^{-2}\right] /[\mathrm{IT}]=\left[\mathrm{MLT}^{-3} \mathrm{~J}^{-1}\right]$

(b) Magnetic field $=\mathrm{F} / \mathrm{qv}=\left[\mathrm{MLT}^{-2}\right] /[\mathrm{IL}]=\left[\mathrm{MT}^{-2} \mathrm{I}^{-1}\right]$

(c) Magnetic Permeability $=\mathrm{B} \times 2 \pi \mathrm{a} / \mathrm{I}=\left[\mathrm{MT}^{-2} \mathrm{I}^{-1}\right][\mathrm{L}] /[\mathrm{I}]=\left[\mathrm{MLT}^{-2} \mathrm{I}^{-2}\right]$

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