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]

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

Solution:

Resistance \(R = V/I = W/(QI)\). (W) is work done, (Q) is charge. \(W = [ML^2T^{-2}]\), \(Q = [IT]\). So, \(R = [ML^2T^{-2}] / ([IT][I]) = [ML^2T^{-3}I^{-2}]\).

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