1.

The intrinsic conductivity of germanium at 27^(@)C is 2.13ohm^(-1)*m^(-1), the mobilities of electrons and holes are 0.38 and 0.18m^(2)//(V*s), respectively. Compute the carrier densities and the Hall coefficient.

Answer»


Solution :In the case of INTRINSIC conductivity, the electron and the HOLE CONCENTRATIONS are equal. Therefore `gamma=en(b_(+)+b_(-))`, where `b_(+)` is the mobility of holes and `b_(-)` is the mobility of electrons. Hence `n=(gamma)/(e(b_(+)+b_(-)))`.
To find the Hall coefficient, note that the Hall potential DIFFERENCE of the electron and the hole components are of opposite signs
We have
`R_(H)=R_(H)^((-))-R_(H)^((+))=(b_(-)-b_(+))/gamma`.


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