Which of the following is the correct expression for drift velocity of electrons in a conductor?

A. v_d = eE m — The drift velocity is defined as the average velocity attained by charged particles in a material due to an electric field. It is derived from the acceleration of electrons between collisions.

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$Which of the following is the correct expression for drift velocity v_{d} of electrons in a conductor where e is charge, E is electric field, m is mass, and τ is relaxation time?$

A. $v_{d} = \frac{e E τ}{m}$
B. $v_{d} = \frac{e E}{m}$
C. $v_{d} = \frac{m}{e E τ}$
D. $v_{d} = e E τ$

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Correct answer: A — $v_{d} = \frac{e E τ}{m}$

Solution

The acceleration of an electron is a = \frac{e E}{m} . The drift velocity is the product of acceleration and the average relaxation time, giving v_{d} = \frac{e E τ}{m} .

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Which of the following is the correct expression for drift velocity vd​ of electrons in a conductor where e is charge, E is electric field, m is mass, and τ is relaxation time?

Solution

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More Current Electricity practice questions

$Which of the following is the correct expression for drift velocity v_{d} of electrons in a conductor where e is charge, E is electric field, m is mass, and τ is relaxation time?$