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Question N1: a) Calculate the intrinsic currier density of in silicon by using Equation (3.25): $\left(\frac{2\pi kT}{h^2}\right)^{3/2} \left(m_n^m_p^\right)^{3/4} e^{-\frac{E_g}{2kT}}$ $n_i = 2$ $n_i = 2 \left(\frac{2\times(1.4\times10^{-21})}{(6.62\times10^{-34})^2}\right)^{3/2} \cdot (7.91\times10^{-61})^{3/4} \cdot e^{-\left(\frac{1.792\times10^{-19}}{2(4.14\times10^{-21})}\right)}$ b) Calculate the intrinsic density of electrons in silicon by using Eq. (3.18): $n = N_c e^{-\frac{E_c - E_F}{kT}}$ $n = 3.22 \times 10^{19} \cdot e^{-\left(\frac{1.792 \times 10^{-19}}{4.14 \times 10^{-21}}\right)}$ c) Calculate the intrinsic density of electrons in silicon by using Eq. (3.22): $np = N_c N_v e^{-\frac{E_c - E_v}{kT}}$ $n = 9.67 \times 10^{10} cm^{-3}$ Explain any difference in the magnitudes of intrinsic densities calculated in a), b) and c). (Weight of Question is 45%)

          Question N1:
a) Calculate the intrinsic currier density of in silicon by using Equation (3.25):
$\left(\frac{2\pi kT}{h^2}\right)^{3/2} \left(m_n^*m_p^*\right)^{3/4} e^{-\frac{E_g}{2kT}}$
$n_i = 2$
$n_i = 2 \left(\frac{2\times(1.4\times10^{-21})}{(6.62\times10^{-34})^2}\right)^{3/2} \cdot (7.91\times10^{-61})^{3/4} \cdot e^{-\left(\frac{1.792\times10^{-19}}{2(4.14\times10^{-21})}\right)}$
b) Calculate the intrinsic density of electrons in silicon by using Eq. (3.18):
$n = N_c e^{-\frac{E_c - E_F}{kT}}$
$n = 3.22 \times 10^{19} \cdot e^{-\left(\frac{1.792 \times 10^{-19}}{4.14 \times 10^{-21}}\right)}$
c) Calculate the intrinsic density of electrons in silicon by using Eq. (3.22):
$np = N_c N_v e^{-\frac{E_c - E_v}{kT}}$
$n = 9.67 \times 10^{10} cm^{-3}$
Explain any difference in the magnitudes of intrinsic densities calculated in a), b) and c).
(Weight of Question is 45%)

Question N1:
a) Calculate the intrinsic currier density of in silicon by using Equation (3.25):
((2π kT)/(h^2))^3/2(mn^*mp^*)^3/4 e^-(Eg)/(2kT)
ni = 2
ni = 2 ((2×(1.4×10^-21))/((6.62×10^-34)^2))^3/2· (7.91×10^-61)^3/4· e^-((1.792×10^-19)/(2(4.14×10^-21)))
b) Calculate the intrinsic density of electrons in silicon by using Eq. (3.18):
n = Nc e^-(Ec - EF)/(kT)
n = 3.22 × 10^19· e^-((1.792 × 10^-19)/(4.14 × 10^-21))
c) Calculate the intrinsic density of electrons in silicon by using Eq. (3.22):
np = Nc Nv e^-(Ec - Ev)/(kT)
n = 9.67 × 10^10 cm^-3
Explain any difference in the magnitudes of intrinsic densities calculated in a), b) and c).
(Weight of Question is 45%)

Added by Holly J.

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