At room temperature, the intrinsic carrier density in a semiconductor is 10¹1 cm³. If 3x10¹² cm-3 of donors and 2.9x10¹2 cm-3 acceptors are doped in the semiconductor, determine the electron and hole densities in the sample. Assume at room temperature all donors and acceptors are ionized.

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At room temperature, the intrinsic carrier density in a semiconductor is \(10^{11} \, \text{cm}^{-3}\). If \(3 \times 10^{12} \, \text{cm}^{-3}\) of donors and \(2.9 \times 10^{12} \, \text{cm}^{-3}\) acceptors are doped in the semiconductor, determine the electron and hole densities in the sample. Assume at room temperature all donors and acceptors are ionized.

*This is to test the solution of the quadratic equation. You need to solve the equation and obtain the numbers.*
Transcribed Image Text:At room temperature, the intrinsic carrier density in a semiconductor is \(10^{11} \, \text{cm}^{-3}\). If \(3 \times 10^{12} \, \text{cm}^{-3}\) of donors and \(2.9 \times 10^{12} \, \text{cm}^{-3}\) acceptors are doped in the semiconductor, determine the electron and hole densities in the sample. Assume at room temperature all donors and acceptors are ionized. *This is to test the solution of the quadratic equation. You need to solve the equation and obtain the numbers.*
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