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Calculate the electric current generated in an intrinsic germanium plate at room temperature whose area is 2 × 10-4 m2 and width is 1.2 × 10-3 m and a potential difference of 5V is applied. Intrinsic charge carrier density is 1.6 × 106 /m3 for germanium at room temperature. The mobility of electrons and holes is 0.4 m2 V-1 s-1 and 0.2 m2 v-1 s-1.

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Given, Area of plate (A) = 2 × 10-4 m2
Width (l) = 1.2 × 10-3 m
Potential difference V = 5 V
Intrinsic charge carrier density n1 = 1.6 × 106/m3
Mobility of electrons (µ2) – 0.4 m2V-1s-1
Mobility of holes (µn ) = 0.2 m2V-1s-1
So, current in Ge plate I = \(\frac{V}{R}\)

or \(I=\frac{1.6 \times 10^{-19} \times 1.6 \times 10^6(0.4+0.2) \times 5 \times 2 \times 10^{-4}}{1.2 \times 10^{-3}}\) 

\(=12.8\times10^{-14}\\=1.28\times10^{-13}A\)

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