CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


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 formula of resistance, [R] = [ML2A−2T−3]    ...(1)
Dimensional formula of potential difference, [V] = [ML2A−1T−3]    ...(2)
Dimensional formula of current,  I = [A]

Dividing (2) by (1), we get:
VR=ML2A-1T-3ML2A-2T-3=A
⇒ V = IR

Physics
HC Verma - I
Standard XI

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image