3. Silicon is doped with impurity concentration of $N_d = 5 \times 10^{16} \text{ cm}^{-3}$ and $N_a = 1 \times 10^{16} \text{ cm}^{-3}$ at $T = 300 \text{ K}$. Excess carriers are generated at a concentration $\delta n = \delta p = 3 \times 10^{15} \text{ cm}^{-3}$ due an external energy. (a) Determine the thermal-equilibrium Fermi level with respect to the intrinsic Fermi level. (b) Find $E_F$ and $E_{Fp}$ with respect to $E_{Fi}$.
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- Given: \( N_d = 5 \times 10^{16} \, \text{cm}^{-3} \) and \( N_a = 1 \times 10^{16} \, \text{cm}^{-3} \). - Since \( N_d > N_a \), the semiconductor is n-type. Show more…
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Silicon is doped with acceptor impurity atoms at a concentration of $N_{a}=3 \times 10^{15} \mathrm{~cm}^{-3} .$ Assume $N_{d}=0$. Plot the position of the Fermi energy level with respect to the intrinsic Fermi energy level over the temperature range of $200 \leq T \leq 600 \mathrm{~K}$.
Consider a p-type silicon semiconductor at $T=300 \mathrm{~K}$ doped at $N_{a}=5 \times 10^{15} \mathrm{~cm}^{-3}$. (a) Determine the position of the Fermi level with respect to the intrinsic Fermi level. (b) Excess carriers are generated such that the excess carrier concentration is 10 percent of the thermal-equilibrium majority carrier concentration. Determine the quasiFermi levels with respect to the intrinsic Fermi level. (c) Plot the Fermi level and quasi-Fermi levels with respect to the intrinsic level.
(a) Silicon at $T=300 \mathrm{~K}$ is uniformly doped with boron atoms to a concentration of $3 \times 10^{16} \mathrm{~cm}^{-3}$ and with arsenic atoms to a concentration of $1.5 \times 10^{16} \mathrm{~cm}^{-3}$. Is the material n type or p type? Calculate the thermal equilibrium concentrations of majority and minority carriers. (b) Additional impurity atoms are added such that holes are the majority carrier and the thermal equilibrium concentration is $p_{0}=5 \times 10^{16} \mathrm{~cm}^{-3} .$ What type and concentration of impurity atoms must be added? What is the new value of $n_{0}$ ?
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