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Question

Physics Question on Units and measurement

What is the dimensions of impedance ?

A

L2T−3A−2L^2T^{-3}A^{-2}

B

M−1L−2T3A2M^{-1}L^{-2}T^3A^2

C

ML3T−3A2ML^3T^{-3}A^2

D

M−1L−3T3A2M^{-1}L^{-3}T^3A^2

Answer

L2T−3A−2L^2T^{-3}A^{-2}

Explanation

Solution

Impedance has the same dimensions as that of a resistance ? Resistance R =Voltage Vcurrent I=\frac{Voltage\,V}{current\,I}% =[ML2T−3I−1][1]=[ML2T−3A−2]=\frac{\left[ML^{2}T^{-3}I^{-1}\right]}{\left[1\right]}=\left[ML^{2}T^{-3}A^{-2}\right]