What is the dimension of impedance?

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(A) Impedance $(Z)$ is defined as the effective resistance in an alternating current $(AC)$ circuit.By Ohm's Law,$Z = \frac{V}{I}$,where $V$ is the po

Vedclass · Accepted Answer

$M{L^2}{T^{ - 3}}{I^{ - 2}}$

Vedclass · Answer

(A) Impedance $(Z)$ is defined as the effective resistance in an alternating current $(AC)$ circuit.By Ohm's Law,$Z = \frac{V}{I}$,where $V$ is the potential difference and $I$ is the current.The dimensional formula for potential difference $(V)$ is $[M L^2 T^{-3} I^{-1}]$.The dimensional formula for current $(I)$ is $[I]$.Therefore,the dimension of impedance is:$[Z] = \frac{[M L^2 T^{-3} I^{-1}]}{[I]} = [M L^2 T^{-3} I^{-2}]$.

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