(a) Define Hall effect. Explain Hall effect in semiconductor and deri…

Question

(a) Define Hall effect. Explain Hall effect in semiconductor and derive an expression for Hall voltage and Hall coefficient. Mention its applications.

(b) Find the conductivity of $n$-type Ge at room temperature, assuming one donor atom in each $10^8$ atoms. The density of Ge is $5.32 \times 10^3\text{ kg/m}^3$ and the atomic weight is $72.6\text{ kg/k-mol}$. Comment on result [$e = 1.6 \times 10^{-19}\text{ C}$, $\mu_e = 0.38\text{ m}^2\text{/V-s}$, $\mu_h = 0.18\text{ m}^2\text{/V-s}$].

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