Advanced Semiconductor Fundamentals Solution Manual Official

1.1 Determine the intrinsic carrier concentration in silicon at 300 K.

Vbi ≈ 0.85 V

Ic = Is * (exp(VBE/Vt) - 1)

Substituting typical values:

Vth ≈ 0.64 V

3.1 Analyze the current-voltage characteristics of a BJT.

1.2 Compare the electron and hole mobilities in silicon at 300 K. Advanced Semiconductor Fundamentals Solution Manual

Vtn = 0.5 V γ = 0.5 V^1/2 φf = 0.3 V Vsb = 0 V

Vth = Vtn + γ * (√(2φf + Vsb) - √(2φf))

where Is is the reverse saturation current, VBE is the base-emitter voltage, and Vt is the thermal voltage. Vtn = 0

where Vtn is the threshold voltage at zero body bias, γ is the body effect coefficient, φf is the Fermi potential, and Vsb is the source-body voltage.

2.1 Calculate the built-in potential barrier in a pn junction.

The built-in potential barrier in a pn junction can be calculated using the following equation: The built-in potential barrier in a pn junction

Substituting the values for silicon:

The current-voltage characteristics of a BJT can be described by the Ebers-Moll model. The collector current can be expressed as: