Common Emitter BJT

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Heikki
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Common Emitter BJT

Post by Heikki »

Common emitter amplifier

gm = IC/VT

Av = -gm*(RC||RL||rc) (bypassed emitter)

Av = -RC/(RE+re) (unbypassed emitter)

Rin = R1||R2||Rπ (bypassed emitter)

Rin = R1||R2||[(RE+re)*ß] (unbypassed emitter)

Rout = rc||RC||RL

Rout ≈ RC

Rπ = ß/gm

re = 1/gm

rc = VA/IC


Av = voltage gain
ß = transistor current gain
gm = transconductance
IC = collector current
RC = collector resistor
rc = internal collector resistance
RE = emitter resistor
re = internal emitter resistance
Rin = input resistance
RL = load resistor
Rout = output resistance
Rπ = internal resistance from base to emitter
Rs = source resistance
VA = Early voltage
VT = (kT)/q ≈ 30 mV

Frequency response

High-pass filter

FC1 = 1/(2π(RS+Rin)C1)
FC2 = 1/(2π((re+(Rth/ß))||RE)C2)
FC3 = 1/(2π(Rout+RL)C3)


Low-pass filter (Miller-capacitance)

FH1 = 1/(2π*Rout*CoutM)
FH2 = 1/(2π(Rth||Rπ)(Cbe+CinM))

Rth = R1||R2||RS

CinM = Cbc(|Av|+1)

CoutM = Cbc(|Av|+1)/|Av|


Cbc = base to collector capacitance
Cbe = base to emitter capacitance
bjt.png
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