Let I = current through a conductor, R = its resistance and V = potential difference across its ends. According to Ohm’s law, product of two of these quantities equals the third. Obtain Ohm’s law from dimensional analysis. Dimensional formulae for R and V are ML 2 I -2 T 3 and ML 2 T -3 I -1 respectively.

Question

Philoid · Accepted Answer

Dimensions of V = [ML² T^-3 I^-1] (potential difference)

Dimensions of R = [ML²T³I^-2] (electrical resistance)

Dimensions of V/R =

Dimensions of V/R = Dimensions of I (Electric current)

Therefore, Ohm’s Law becomes V = IR

Let I = current through a conductor, R = its resistance and V =potential difference across its ends. According to Ohm’s law, productof two of these quantities equals the third. Obtain Ohm’s law fromdimensional analysis. Dimensional formulae for R and V are ML2I-2T3and ML2 T-3 I-1 respectively.