Govt. Exams
Entrance Exams
In saturation, I_D = (1/2)μ_n C_ox (W/L)(V_GS - V_T)², so g_m = ∂I_D/∂V_GS = μ_n C_ox (W/L)(V_GS - V_T) = √(2μ_n C_ox (W/L)I_D).
The avalanche factor M = 1/(1-(VR/BV)ⁿ) shows multiplication increases exponentially as reverse voltage approaches breakdown voltage BV, where n≈3-6.
Current mirror loads increase output impedance, while source degeneration resistors provide common-mode feedback, both reducing common-mode gain.
At low frequencies, shot noise associated with base current (IB) dominates, following Poisson statistics: i²n = 2q×IB×Δf.
The gate-drain capacitance (Cgd) creates Miller effect, which effectively multiplies the capacitive reactance in feedback, severely limiting high-frequency gain.
At pinch-off, VGS reaches VP (pinch-off voltage), channel closes, and further VDS increase has minimal effect on ID (saturation region).
Overdrive factor β = IB(actual) / IB(min) ensures transistor stays saturated even with parameter variations.
Breakdown voltage BV ∝ ND^(-3/4) approximately; lower doping increases depletion width, requiring higher field and higher voltage for breakdown.
Miller effect: CBE capacitance reflected to input = CμC·(1+|Av|); dominates high-frequency response and limits bandwidth in CE configuration.
Gunn effect: electrons transfer from high-mobility Γ valley to low-mobility L valley at threshold field, causing dI/dV < 0 (negative resistance).