Question:
In a semiconductor, the number density of intrinsic charge carries at \(27^\circ\mathrm{C}\) is \(1.5\times10^{16}/\mathrm{m^3}\). If the semiconductor is doped with impurity atom, the hole density increases to \(4.5\times10^{22}/\mathrm{m^3}\). The electron density in the doped semiconductor is ___________ \(\times 10^{9}/\mathrm{m^3}\).
In a semiconductor, the number density of intrinsic charge carries at \(27^\circ\mathrm{C}\) is \(1.5\times10^{16}/\mathrm{m^3}\). If the semiconductor is doped with impurity atom, the hole density increases to \(4.5\times10^{22}/\mathrm{m^3}\). The electron density in the doped semiconductor is ___________ \(\times 10^{9}/\mathrm{m^3}\).
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Mass-action law: n_e n_h = n_i^2 holds for a doped semiconductor at the same temperature.
Updated On: Nov 4, 2026
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Correct Answer: 5
Solution and Explanation
Law of mass action: \(n_e\,n_h = n_i^2\).
\(n_e = \dfrac{n_i^2}{n_h} = \dfrac{(1.5\times10^{16})^2}{4.5\times10^{22}} = \dfrac{2.25\times10^{32}}{4.5\times10^{22}} = 0.5\times10^{10} = 5\times10^{9}\ \mathrm{/m^3}\).
Answer: 5
\(n_e = \dfrac{n_i^2}{n_h} = \dfrac{(1.5\times10^{16})^2}{4.5\times10^{22}} = \dfrac{2.25\times10^{32}}{4.5\times10^{22}} = 0.5\times10^{10} = 5\times10^{9}\ \mathrm{/m^3}\).
Answer: 5
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