MOSFET Transconductance:
gm = 2 × K × (VGS - Vth)
or equivalently: gm = 2 × √(K × ID)
Output resistance: rd ≈ ∞ (ideal)
JFET Transconductance:
gm = |(-2 × IDSS × (1 - VGS/VP)) / VP|
or: gm = 2 × √(K × ID) where K = IDSS / VP²
Output resistance: rd = large (typically 10kΩ - 1MΩ)
Effective Drain Load:
RD,eff = RD || RL = (RD × RL) / (RD + RL)
Common Source Voltage Gain:
Av = -gm × RD,eff / (1 + gm × RS_unbypassed)
With full bypass (RS_unbypassed = 0): Av = -gm × RD,eff
Negative sign indicates phase inversion
Source Follower Voltage Gain:
Av = (gm × RS) / (1 + gm × RS) ≈ 1
Non-inverting, unity gain buffer
Zout = 1 / gm (very low)
Solving for RS Split (Common Source):
RS_unbypassed = RD,eff / |Av| - 1 / gm
RS_bypassed = RS - RS_unbypassed
(RS_bypassed is bypassed with CS capacitor)
Input Impedance:
FET gate: Zin,gate ≈ ∞ (very high, 10¹² Ω)
MOSFET: Zin = R1 || R2 (limited by bias divider)
JFET: Zin = RG (typically 1 MΩ)