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. Dimensonal formulae for R andV are `ML^2I^-2T^-3 and ML^2T^-3I^-1` respectively.

Explanation

DimensioN/Al formule of R `=[ML^2I^I^2T^-3], DimensioN/Asl formulae of `V=[ML^2I^-2T^-3]. DimensioN/Al formulae of `[ML^2 I^-1T^-3]=[ML^2T^-2][I], [ML^2I^-IT^-3]=[ML^2T^-3I^-2][I], rarrV=IR`