Derive ohm's law using the basic idea of drift velocity
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Deduction of Ohm’s Law:
As drift velocity is given by V
d=eEt/m
But Electric field across the conductor of length l is
E=V/l
Thus V
d=e V/ml
Also, I=Anev
By putting value of v
in the equation of I (equation 1 of relation of the current and drift velocity),we get
I=Ane(eV/ml)=(Ane^22/ml)V
Or V/I=ml/Ane^2=R
Where R is a constant for a given conductor. It is known as the resistance of the conductor.
Thus V=RI
This is Ohm’s law.
As drift velocity is given by V
d=eEt/m
But Electric field across the conductor of length l is
E=V/l
Thus V
d=e V/ml
Also, I=Anev
By putting value of v
in the equation of I (equation 1 of relation of the current and drift velocity),we get
I=Ane(eV/ml)=(Ane^22/ml)V
Or V/I=ml/Ane^2=R
Where R is 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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