Basic Maths and Units and DimensionsMedium
Question
If $\in ,E$ and t represent the free space permittivity, electric field and time respectively, then the unit of $\frac{\in E}{t}$ will be :
Options
A.Am
B.${Am}^{2}$
C.$A/m^{2}$
D.$A/m$
Solution
$\frac{\varepsilon E}{t} = \frac{\varepsilon}{t}\frac{1}{4\pi\varepsilon}\frac{q}{r^{2}}$
$${\Rightarrow \frac{AT}{{TL}^{2}} = \left( {AL}^{- 2} \right) }{\Rightarrow A/m^{2}}$$
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