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Semiconductors Cheat Sheet by

Covers chapters 1, 2, & 18 of EE 331

Voltage Amplifier

Vi = Vs * (Ri / (Ri + Rs))
Vo = AvoVi * (RL / (RL + Ro))
Ideal op-amp:
Ri = infinity
Ro = 0
RL = Rs = 0 affect on gain

Four Amplifier Models

Voltage Amplifier
Current Amplifier
Av = Vo / Vi
Ri = infinity
Ro = 0
Av = io / ii
Ri = 0
Ro = infinity
Transc­ond­uctance Amp
Transr­esi­stance Amp
Gm (i dep.) = io / Vi
Ri = infinity
Ro = infinity
Rm (v dep.) = Vo / ii
Ri = 0
Ro = 0

Source Transf­orm­ation

Avo = Ais * (Ro / Ri) = Gm * Ro = Rm / Ri

Inverting vs. Non-In­verting Op-Amp

Inverting Op-Amp
Av = Rf / Ri
Non-In­verting Op-Amp
Av = 1 + Rf / Ri

Astable Multiv­ibrator

τ = CR
T = 2τ * ln[(1 + β) / (1 - β)]
β = R1 / (R1 + R2)
  

Gain in dB

Av = 20log|Av| dB
Ai = 20log|Ai| dB
Pg = 10log|Pg| dB

Differ­ential Amplifier (CMRR)

20log|Ad / Acm| = 20log|­(K+1) / δ| = 20log|­(K+1) / (4*ε)|
δ = mismatch
ε = tolerance
Ad = R2 / R1 = R4 / R3 = K

Vcmi = 0.5(V1 + V2)
V1 = Vcmi - 0.5Vdi
V2 = Vcmi + 0.5Vdi

555 Timer (Monos­table)

T = CR * ln3 ~= 1.1CR
VTH = Vcc(1 - eT/CR)
  

Amplifier Class

A: Full wave, θc = 360 deg.
B: Halfwave θc = 180 deg.
C: Between A & B class, θc < 180 deg.
D: Small wave

Bistable Multiv­ibrator

β = R1 / (R1 + R2)
VTH - VTL = β(L+ - L-)

VTL = -L+ (R1 / R2)
VTL = -L- (R1 / R2)

555 Timer (Astable)

Duty Cycle = (RA + RB) / (RA + 2RB)
T = 0.69C(RA + 2RB)
               
 

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  • Published: 18th September, 2024
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