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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 ML2I2T3 and ML2T3I1 respectively.


Solution

Dimensional formulae of R =[ML2I2T3]

Dimensional formulae os V =[ML2I1T3]

Dimensional formulae of I = [I]

[ML2I1T3]=[ML2T3I2][I]

V=IR

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