Question

Derive an expression for conductivity in terms of mobility

Answer 1

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Answer 2

Expression for conductivity in terms of mobility

Explanation:

• The electron mobility is defined by the equation:    $V_d = \mu E$
• where:   E is the magnitude of the electric field applied to a material,
• $V_d$ is the magnitude of the electron drift velocity (in other words, the electron drift speed) caused by the electric field, and  µ is the electron mobility.
• There is a simple relation between mobility and electrical conductivity. Let n be the number density (concentration) of electrons, and let μe be their mobility. In the electric field E, each of these electrons will move with the velocity vector $-\mu_e E$, for a total current density of $ne\mu_eE$(where e is the elementary charge). Therefore, the electrical conductivity σ satisfies:   $\sigma = ne\mu_e$
• This formula is valid when the conductivity is due entirely to electrons

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