Question

Why Ohm's law cannot be derived from, I=Q/t and V=W/Q ,since Q is same in both and by above equation If we proceed then we are finding that I is inversely proportional to V,Why ?

Answer 1

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This can be only derived by current and drift velocity formula.

Proceeding with I = Q/T, it can't be derived as I is coming inversely proportional to V which is incorrect.

Hence the equation becomes dimensionally incorrect.

The principle of Homogeneity is not applicable there.

However it can be derived by V = W/Q

[ W ] = ML^2 T^-2

[Q] = IT

[V] = ML^2 T^-3 I^-1