The Fermi-Dirac factor is expressed in. Equation (9.34) as In a semiconductor o...

The Fermi-Dirac factor is expressed in. Equation (9.34) as

In a semiconductor or insulator, with an energy gap E_g between the valence and conduction bands, we can take E_F to be halfway between the bands, so that E_F = E_g/2. (a) Show that for a typical semiconductor or insulator at room temperature the Fermi-Dirac factor is approximately equal to (b) Use the result in (a) to compute the Fermi-Dirac factor For a typical insulator, with (c) Repeat for a semiconductor, silicon, with E_g = 1.1 eV at T = 293 K. (d) Your result in (c) is still small, but sufficiently large to explain why there will be conduction. Explain.