Electrical Conductivity Of A Semiconductor

Electrical Conductivity Of A Semiconductor — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.

Electrical Conductivity of a Semiconductor Used for intrinsic and extrinsic semiconductors to find total conductivity considering both types of charge carriers. Total current density J = J e + J h Substitute J = n e v d Substitute drift velocity v d = mu E Factoring out e and E gives J = e(n e mu e + n h mu h)E Apply Ohm's law J = sigma E to identify sigma Assumes low electric field where mobility is constant Valid for non-degenerate semiconductors Assumes thermal equilibrium Thinking mobility of holes is greater than electrons; actually mu e > mu h due to band structure Ignoring one carrier type in extrinsic semiconductors even though one dominates Assuming conductivity decreases with temperature like metals