Dimensions of Resistance – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Dimensions of Resistance

Dimensions of resistance in an electrical circuit, in terms of dimension of mass \(M\), of length \(L\), of time \(T\) and of current \(I\), would be:

[2007]

\(ML^2T^{-2}\)
\(ML^2T^{-3}I^{-1}\)
\(ML^2T^{-3}I^{-2}\)
\(ML^2T^{-3}I^{-1}\)

Solution:

Resistance \(R = V/I = (W/q)/I = W/(I^2T)\). Work \([W] = ML^2T^{-2}\). So, \([R] = (ML^2T^{-2})/(I^2T) = ML^2T^{-3}I^{-2}\).

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