Question

# 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 ML2I−2T−3 and ML2T−3I−1 respectively.

Solution

## Dimensional formulae of R =[ML2I−2T−3] Dimensional formulae os V =[ML2I−1T−3] Dimensional formulae of I = [I] ∴[ML2I−1T−3]=[ML2T−3I−2][I] ⇒V=IR

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