ESE319 Introduction to Microelectronics Common Base BJT Amplifier Common Collector BJT Amplifier Common Collector (Emitter Follower) Configuration ● Common Base Configuration ● Small Signal Analysis ● Design Example ● Amplifier Input and Output Impedances ● Kenneth R. Laker, updated 27Sep13 KRL 1 ESE319 Introduction to Microelectronics Basic Single BJT Amplifier Features CE Amplifier Voltage Gain (AV) moderate (-RC/RE) CC Amplifier low (about 1) CB Amplifier High (RC/(Rs + re)) Current Gain (AI) High (β) High (β + 1) low (about 1) Input Resistance High (RB||βRE) high (RB||βRE) low (re) low (re) High (RC||ro) Output Resistance High (RC||ro) VCVS CE BJT amplifier => CS MOS amplifier CC BJT amplifier => CD MOS amplifier CB BJT amplifier => CG MOS amplifier Kenneth R. Laker, updated 27Sep13 KRL CCCS 2 ESE319 Introduction to Microelectronics Common Collector ( Emitter Follower) Amplifier R1 ro C in V CC RS vs vs vO R2 RE Voltage Bias Design Q1 Qamp Q2 vO ro Current Bias Design In the emitter follower, the output voltage is taken between emitter and ground. The voltage gain of this amplifier is nearly one – the output “follows” the input - hence the name: emitter “follower.” Kenneth R. Laker, updated 27Sep13 KRL 3 ESE319 Introduction to Microelectronics DC Bias C in RE RS vout vO <=> vs R B =R1∥R2 RB Rb VB iC V CC vout vO RE VCC/2 Kenneth R. Laker, updated 27Sep13 KRL 4 ESE319 Introduction to Microelectronics Follower Small Signal Analysis - Voltage Gain Circuit analysis: v s = R s r i b R E i e=R s r 1 R E i b Rs ib vs ie vout v o=v e RE Solving for ib vs i b= R s r 1 R E v o=R E i e =R E 1i b R E 1 v s vo= R s r 1 R E for Current Bias Design replace RE with ro||ro = ro/2 >> RE Kenneth R. Laker, updated 27Sep13 KRL vo R E r o∥r o AV = = ≈1 v s R s r R E r o∥r o 1 5 ESE319 Introduction to Microelectronics Small Signal Analysis – Voltage Gain - cont. Rs vo RE = v s R s r RE 1 Since, typically: R s r 1 ≪ R E (or ro||ro = ro/2) vo R E AV = ≈ =1 vs RE Note: AV is non-inverting Kenneth R. Laker, updated 27Sep13 KRL 6 ESE319 Introduction to Microelectronics Of What value is a Unity Gain Amplifier? Rs ib vs ie vo RE Or Buffer Kenneth R. Laker, updated 27Sep13 KRL 7 ESE319 Introduction to Microelectronics Emitter Follower Small Sig. Output Resistance −i x i x =−i e =−1i b ⇒ i b= 1 Rs ib vs 0 ie ix vx Rout Assume: R s r v x =−i b R s r = i x where r ≫ R S 1 r v x R s r 1 VT R out = = ≈ =r e≈ = ix gm I C 1 1 VT VT I C =1 mA ⇒ r = = =2500 IB IC =100 R s =50 Kenneth R. Laker, updated 27Sep13 KRL R out ≈r e = 2550 =25.5 100 Recall Rin =r bg =r 1 R E 8 ESE319 Introduction to Microelectronics Multisim Verification of Rout RS Rout vs Rin Av*vsig AV = 1 i x=−1i b i sc =i x <=> Rin =r bg =R S r 1 R E ≈1 R E Rin =R S r 1 R E ≈ 1 R E Thevenin equivalent for the short-circuited emitter follower. If β = 200, as for most good NPN transistors, Rout would be lower - close to 12 Ω. Kenneth R. Laker, updated 27Sep13 KRL v oc R out = i sc vvsigs=RSs i bbr ri bi b v s rms vs + v ocv=ocA=v V v ss - Rout iiscsc=i x rms vAs v Rs r R Sr V=sig RRoutout= =i = 1 sc i x 1 =100 Multisim short circuit check ( = 100, vo = vs): v oc Av s rms 1 V1 v v oc V s rms = = = == =22.25 RRoutout= =25.25 39.61 mA iiscsc i iscscrms 0.0396 rms 9 ESE319 Introduction to Microelectronics Emitter Follower Power Gain R S C in ib + ib Rb ie v bg vbg RB vs - Rin vo RE Consider the case where a RL=50 Ω load is connected through an infinite capacitor to the emitter of the follower. Using its Thevenin equivalent: RL r bg Rin @ midband where Av = 1 R L AV v s 50 2 vo= = v= v R L∥R E R out 75 s 3 s AV v s vs i o= = R out R L∥R E 75 2 2 p o =v o i o = vs 225 Kenneth R. Laker, updated 27Sep13 KRL is vs R out≈ 25 i Rin o + - A vth=G v v s vsig C=∞ + vo R E∥R L=50 - 50 load is in parallel with 5.1k vs vs vs vs REb = and ≈ dominates: ≈ i s =i ≈ R in 1 R L∥R E 101⋅50 R E∥R L =5.1 k ∥50 ≈50 1 2 p s =v s i s ≈ vs 5000 p o 25000 A pwr = = =44.4≫1 ps 225 5000 10 ESE319 Introduction to Microelectronics Quick Review Rs ? ib vs ie vo RE ? ? ? Kenneth R. Laker, updated 27Sep13 KRL 11 ESE319 Introduction to Microelectronics Quick Review Rs ib vs ie vo RE Or Buffer Kenneth R. Laker, updated 27Sep13 KRL 12 ESE319 Introduction to Microelectronics Base Voltage Biasing – Typical Design R1 C in RS vs VB Vb iB R2 Then, choose/specified IE, and the rest of the design follows: iC iE vO =v E vout RE V CC V E V CC /2−0.7 RE= = IE IE For an assumed = 100: Split bias voltage drops about equally across the transistor VCE (or VCB) and VRe (or VB). For simplicity,choose: V CC ⇒ R 1=R 2 V B= 2 Kenneth R. Laker, updated 27Sep13 KRL As with CE bias design, stable op. pt. => R B ≪1 R E , i.e. R 1 1 R B =R 1∥R 2= = R E ≈10 R E 2 10 R 1=R 2 =20 R E 13 ESE319 Introduction to Microelectronics Typical Design - Cont. Given: R out =r e =25 V CC =12 V And the rest of the design follows: VT I E ≈ I C = =1 mA re V E 12/ 2−0.7 RE= = =5.3 k −3 IE 10 Use standard sizes 100 kΩ C in v O =v E 12V 100 kΩ 5.1 kΩ R E =5.1 k R1 =R 2=100 k Kenneth R. Laker, updated 27Sep13 KRL 14 ESE319 Introduction to Microelectronics R s =50 R S C in ib Blocking Capacitor - Cin - Selection ib + Rb ie vbg vs v bg R B - Use the base current expression: v bg =r i b R E i E =r 1 R E ib vo RE r bg v bg i b= r 1 R E v bg r bg = =r 1 R E ≈1 R E =101⋅5.1 k =515 k ib Rin This transistor input resistance rbg is in parallel with RB = 50 k ; vbg: R B∥r bg v s v bg = 1 R B∥r bg R s 2 f C in Ideally we want vbg = vs for f ≥ fmin Kenneth R. Laker, updated 27Sep13 KRL 15 ESE319 Introduction to Microelectronics Cin – Selection cont. Choose Cin such that its reactance is ≤ 1/10 of RB at fmin: RB 1 Assume fmin = 20 Hz = 2 f C in 10 with R B =50 k 10 C in ≥ 2 f min R B 10 C in ≥ =1.59 F 3 2 ⋅20⋅50⋅10 Pick Cin = 3.3 µ F ), the nearest standard value in the Detkin Lab. We could be (unnecessarily) more precise and include rbg and Rs as part of the total resistance in the loop. Kenneth R. Laker, updated 27Sep13 KRL 16 ESE319 Introduction to Microelectronics Final Design C in R1 3.3 uF RS vs Kenneth R. Laker, updated 27Sep13 KRL V CC R2 vo RE 17 ESE319 Introduction to Microelectronics Multisim Simulation Results 20.74 Hz Data Av = 0.989 1 kHz Data Av = 0.995 Kenneth R. Laker, updated 27Sep13 KRL 18 ESE319 Introduction to Microelectronics The Common Base Amplifier Voltage Bias Design Kenneth R. Laker, updated 27Sep13 KRL Current Bias Design 19 ESE319 Introduction to Microelectronics Common Base Configuration Both voltage and current biasing follow the same rules as those applied to the common emitter amplifier. Insert a blocking capacitor in the input signal path to avoid disturbing the dc bias. The common base amplifier uses a bypass capacitor – or a direct connection from base to ground to hold the base at ground for the signal only! RECALL: The common emitter amplifier (except for RE feedback) holds the emitter at signal ground, while the common collector circuit does the same for the collector. Kenneth R. Laker, updated 27Sep13 KRL 20 ESE319 Introduction to Microelectronics Voltage Bias Common Base Design CE Amp We keep the same bias (1/3, 1/3, 1/3) that we established for the gain of 10 common emitter amplifier. All that we need to do is pick the capacitor values and calculate the circuit gain. Kenneth R. Laker, updated 27Sep13 KRL 21 ESE319 Introduction to Microelectronics Mid-band Small Signal Analysis Input Impedance RC ro is Zin C in =∞ Note: is = - ie RE >>re Kenneth R. Laker, updated 27Sep13 KRL v Re =r e∥R E i s v Re VT Z in = =r e∥R E ≈r e = is IC vo Z out = ≈ RC∥r o ic Current Gain ic Ai = =≈1 ie Voltage Gain v s =−i e R S −r e∥R E i e RC 1 v o =−RC i c =− RC i e = vs R S r e∥R E v o 1 RC Av = ≈ v s R S r e 22 ESE319 Introduction to Microelectronics Common Base Small Signal Analysis - Cin ib vo RC 4.7 k Ohm ic ∞ Cb R B re 25 Ohm v Re NOTE: Cb is short ckt ie RS C in RE 470 Ohm Determine Cin: (let C b =∞ ) v Re = R E∥r e R E∥r e R s vs 1 j2 f C in vs R E∥r e re ideally v Re = R ∥r R v s≈ r R v s E e s e s for f ≥ f min R s R E 1 10 ≪ R s r e ⇒ = ⇒ C in= 10 2 f min C in 2 f min C in 2 f min R s r e 1 Kenneth R. Laker, updated 27Sep13 KRL 23 ESE319 Introduction to Microelectronics Determine CIN cont. A suitable value for Cin for a 20 Hz fmin with re = 25 Ω and Rs = 50 Ω: 10 10 2 f min C in R s r e ≫1⇒ C in ≥ = F 2 f min R s r e 2 20⋅75 10 C in = ≈1060 F 125.6⋅75 Too Large to be Practical! Choose Cin = 220 µF (largest standard value in Detkin Lab) 1 X Cin = ≈36 2 f min C in Kenneth R. Laker, updated 27Sep13 KRL 24 ESE319 Introduction to Microelectronics ignore RB Small-signal Analysis - Cb Determine Cb: (let C in =∞ ) 1 j 2 f C b 1 v Re = vs 1 R E∥r e R S j 2 f C b 1 R E∥r e R E∥r e ideally v Re = R ∥r R v s for f ≥ f min E e S re 1 1 10 ≪ re ⇒ = ⇒ C b= 2 f min C b 1 2 f min C b 1 10 2 f min r e 1 Kenneth R. Laker, updated 27Sep13 KRL 25 ESE319 Introduction to Microelectronics Determine - CB cont. i'b i'c vout vo R E∥r e≈r e is R 4.7 Ck Ohm ib' i'e vs ignore RB Kenneth R. Laker, updated 27Sep13 KRL Choose (conservatively): 10 C b= F 2 f min 1r e for fmin = 20 Hz i.e. 10 C b= =31.8 F 2 20 10025 26 ESE319 Introduction to Microelectronics Multisim Simulation 4.7 k Ohm vO 31.8 uF 153 uF 470 Ohm vs v o 1 RC RC 4700 AV = = ≈ = =62.7 v s R S r e R S r e 5025 Kenneth R. Laker, updated 27Sep13 KRL 27 ESE319 Introduction to Microelectronics Multisim Frequency Response 19.3 Hz response Av sim=61.8 vertical axis is a linear scale 1 % 1 kHz Response Kenneth R. Laker, updated 27Sep13 KRL Av sim=63.3A v theory =62.7 28