Derive the dreft velocity?
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Posted by Uknown Ips 5 years, 11 months ago
- 3 answers
Shivani Thakur 5 years, 11 months ago
Yogita Ingle 5 years, 11 months ago
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:
<nobr>F=−μE</nobr>
<nobr>a=F/m=−μE/m</nobr>
<nobr>u=v+at</nobr>
Here,
v = 0
t = T (relaxation time that is the time required by an electron to return to its initial equilibrium value)
<nobr>u=aT</nobr> (substituting for v and u)
<nobr>∴u=(−μE/m)T</nobr> (substituting for a)
This is the final equation explaining drift velocity.
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Anshu Dwivedi 5 years, 11 months ago
1Thank You