Derivation of Drift Velocity ? And Drift Velocity in form of Potential?
Answers
Answer:
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dirft velocity is proportional to current .In a resistive material it is also proportion to the Magnitude of an external electric field .Thus ohm's law can be explained in the term of drift
=u= uE
Answer:
Explanation:
Drift velocity is defined as the average velocity attained by the particles (electrons) of a given material due to an electric field which is proportional to current. Ohm’s law can be expressed in terms of drift velocity as follow:
u=μE
Where,
u: drift velocity (m/s)
μ: material’s electron mobility (m2/V.s)
E: electric field (V/m)
Derivation of Drift velocity
Following is the derivation of drift velocity:
F=−μE
a=Fm=−μEm
u=v+at
Here,
v = 0
t = T (relaxation time that is the time required by an electron to return to its initial equilibrium value)
u=aT (substituting for v and u)
∴u=(−μEm)T (substituting for a)
This is the final equation explaining drift velocity.
But as the temperature increases, drift velocity of electrons increases in a metallic conductor.
This was the derivation of drift velocity