Correct Answer - Option 1 :
\(\rm \mu = \frac{\sigma}{ne}\)
Concept:
Relation between Current Density and Electric Field:
Current Density:
The amount of electric current travelling per unit cross-section area is called as current density and expressed in amperes per square meter.
Formula for Current Density is given as,
J = I/A
Where,
I = current flowing through the conductor in Amperes
A = cross sectional area in m2.
Consider a conductor of length l and area of cross-section A. Let its two ends be raised to potentials V1 and V2 (V1 > V2).
The electric current density is given by the formula:
j = σE = nevd
The electric current density is given by the formula:
j = σE = nevd
For intrinsic semiconductors (no impurities), the number of electrons will be equal to the number of holes.
\(\sigma = {\rm{ne}}\frac{{{{\rm{v}}_{\rm{d}}}}}{{\rm{E}}} = {\rm{ne\mu }}\)
\(\rm \mu = \frac{\sigma}{ne}\)
For N-type semiconductor, electrons are majority carriers.
Conductivity, σ ≈ neμ
Resistivity, \(\rho = \frac{1}{\sigma } = \frac{1}{{{{\rm{n}}_{\rm{e}}}{\rm{e}}{\mu _{\rm{e}}}}}\)