Electric Field and Potential — Physics STD 12 Science — Question
Gujarat BoardEnglish MediumSTD 12 SciencePhysicsElectric Field and Potential1 Mark
Question
Find the dimensional formula of $\in_0.$
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Answer
By Coulomb's Law, $\text{F}=\frac{1}{4\pi\in_0}\frac{\text{q}_1\text{q}_2}{\text{r}^2}$ $\Rightarrow\in_0=\frac{1}{4\pi\text{F}}\frac{\text{q}_1\text{q}_2}{\text{r}^2}$ Using $[\text{F}]=\big[\text{MLT}^{-2}\big]$ $[\text{r}]=\big[\text{M}^0\text{L}^1\text{T}^0\big]$ $[\text{q}]=\big[\text{M}^2\text{L}^0\text{T}^1\text{A}^1\big],$ we get $[\in_0]=\big[\text{M}^{-1}\text{L}^{-3}\text{T}^4\text{A}^2\big]$
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