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What is the dimensions of impedance ?
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The correct answer is:
\(\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]\)
Impedance has the same dimensions as that of a resistance
\(\begin{aligned}
& \therefore \quad \text { Resistance } R=\frac{\text { Voltage } V}{\text { current } I} \\
& \quad=\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{I}^{-1}\right]}{[\mathrm{I}]}=\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{I}^{-2}\right]
\end{aligned}\)
\(\begin{aligned}
& \therefore \quad \text { Resistance } R=\frac{\text { Voltage } V}{\text { current } I} \\
& \quad=\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{I}^{-1}\right]}{[\mathrm{I}]}=\left[\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{I}^{-2}\right]
\end{aligned}\)
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