Ohm’s law states that the current(I) flowing through a conductor is directly proportional to the potential difference (V) across the ends of the conductor, provided physical condition of the conductor such as temperature mechanical strain etc. are kept constant. I ∝V
Or V ∝ I or V = RI
V / I R = a constant
Where R is known as resistance of the conductor. It depends upon the length, shape and the nature of the material of the conductor. The variation between potential difference (V) and current (I) through a conductor is a straight line QA as shown in
Deduction of ohm’s law.
We know that
Vd = eE/mτ
But E = V/I
∴ vd = eV / Ml τ
Also I = A n e vd
∴ I = A ne (eV / miτ) = (An e2 τ / ml) V
Or V / I = ml / A n e2 τ = R = a constant for a given conductor. It is known as the resistance of the conductor.
Thus V = RI
This is ohm’s law
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