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 ● 2009 Kenneth R. Laker, updated 05Oct12 KRL 1 ESE319 Introduction to Microelectronics Basic Single BJT Amplifier Features CE Amplifier Voltage Gain (AV) moderate (-RC/RE) CC Amplifier low (about 1) Current Gain (AI) moderate ( 1) moderate ( ) Input Resistance high high Output Resistance high low VCVS CB Amplifier high low (about 1) low CCCS high CE BJT amplifier => CS MOS amplifier CC BJT amplifier => CD MOS amplifier CB BJT amplifier => CG MOS amplifier 2009 Kenneth R. Laker, updated 05Oct12 KRL 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.” 2009 Kenneth R. Laker, updated 05Oct12 KRL 3 ESE319 Introduction to Microelectronics Equivalent Circuits C in RE RS vout vO <=> vs R B =R1∥R2 RB Rb VB V CC vout vO RE VCC/2 2009 Kenneth R. Laker, updated 05Oct12 KRL 4 ESE319 Introduction to Microelectronics Multisim Bias Check V Rb =I B R B = Cin IE R =0.495V 1 B Cin iB - vout <=> VRb + Rb vout Identical results – as expected! 2009 Kenneth R. Laker, updated 05Oct12 KRL 5 ESE319 Introduction to Microelectronics Follower Small Signal Analysis - Voltage Gain Circuit analysis: v s =R S r ib 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 1v s v o= R S r 1 R E for Current Bias Design replace RE with ro||ro = ro/2 >> RE 2009 Kenneth R. Laker, updated 05Oct12 KRL vo R E r o∥r o AV = = ≈1 v s R S r R E r o∥r o 1 6 ESE319 Introduction to Microelectronics Small Signal Analysis – Voltage Gain - cont. vo RE = v s R S r R E 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 2009 Kenneth R. Laker, updated 05Oct12 KRL 7 ESE319 Introduction to Microelectronics Quick Review CE Amplifier CC Amplifier CB Amplifier Voltage Gain (AV) Current Gain (AI) Input Resistance Output Resistance ANSWERS: Low, Moderate or High 2009 Kenneth R. Laker, updated 05Oct12 KRL 8 ESE319 Introduction to Microelectronics Quick Review cont. CE Amplifier Voltage Gain (AV) moderate (-RC/RE) Current Gain (AI) moderate (β) Input Resistance high (RB||βRE) Output Resistance high (RC||ro) 2009 Kenneth R. Laker, updated 05Oct12 KRL CC Amplifier CB Amplifier low (about 1) high (RC/RS) moderate (β + 1) low (about 1) high (RB||βRE) low (re) low (re) VCVS high (RC||ro) CCCS 9 ESE319 Introduction to Microelectronics Of What value is a Unity Gain Amplifier? RS ib vs ie vo To answer this question, we must examine the small-signal output impedance of the amplifier and its power gain. RE 2009 Kenneth R. Laker, updated 05Oct12 KRL 10 ESE319 Introduction to Microelectronics Emitter Follower 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 IC 1 1 VT VT I C =1 mA ⇒ r = = =2500 IB IC =100 R S =50 2009 Kenneth R. Laker, updated 05Oct12 KRL R out ≈r e = 2550 =25.5 100 Recall Rin =r bg =r 1 R E 11 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. 2009 Kenneth R. Laker, updated 05Oct12 KRL v oc R out = i sc vvsigs = =R RSSiibbr ri bi b vs + v ocv=ocA=v V v ss - Rout i sc =i x vAs v RS r R S r 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 12 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 2009 Kenneth R. Laker, updated 05Oct12 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 13 ESE319 Introduction to Microelectronics Emitter Follower 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 2009 Kenneth R. Laker, updated 05Oct12 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 14 U 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 2009 Kenneth R. Laker, updated 05Oct12 KRL 15 ESE319 Introduction to Microelectronics R S =50 R S C in ib Blocking Capacitor - Cin - Selection Rb ie vbg vs v bg R B - Rin ib + Rin 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 To obtain the base to ground resistance of the transistor: This transistor input resistance is in parallel with RB = 50 k , forming the total amplifier input resistance: 515 Rin= R S R B∥r bg ≈ R B∥r bg = 50 k =45.6 k ≈ R B =50 k 51550 2009 Kenneth R. Laker, updated 05Oct12 KRL 16 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. 2009 Kenneth R. Laker, updated 05Oct12 KRL 17 ESE319 Introduction to Microelectronics Final Design C in R1 3.3 uF RS vs 2009 Kenneth R. Laker, updated 05Oct12 KRL V CC R2 vo RE 18 ESE319 Introduction to Microelectronics Multisim Simulation Results 20 Hz Data Av = 0.995 1 kHz Data 2009 Kenneth R. Laker, updated 05Oct12 KRL 19 ESE319 Introduction to Microelectronics The Common Base Amplifier Voltage Bias Design 2009 Kenneth R. Laker, updated 05Oct12 KRL Current Bias Design 20 ESE319 Introduction to Microelectronics Common Base Configuration Both voltage and current biasing follow the same rules as those applied to the common emitter amplifier. As before, 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 intentional RE feedback) holds the emitter at signal ground, while the common collector circuit does the same for the collector. 2009 Kenneth R. Laker, updated 05Oct12 KRL 21 ESE319 Introduction to Microelectronics Voltage Bias Common Base Design CE Amp We keep the same bias 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. 2009 Kenneth R. Laker, updated 05Oct12 KRL 22 ESE319 Introduction to Microelectronics Mid-band Small Signal Analysis Input Impedance RC ro is Zin C in =∞ Note: is = - ie RE >>re 2009 Kenneth R. Laker, updated 05Oct12 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 23 ESE319 Introduction to Microelectronics Common Base Small Signal Analysis - Cin ib vo RC Determine Cin: (let C b =∞ ) 4.7 k Ohm ic ∞ Cb R B re 25 Ohm NOTE: RB is shorted v Re ie RS C in RE 470 Ohm v Re = R E∥r e R S vs by Cb = ∞ 1 2 f min C in R E∥r e re ≪ R S R E∥r e ⇒ 2009 Kenneth R. Laker, updated 05Oct12 KRL 1 j2 f C in R E∥r e ideally v Re = R ∥r R v s E e S vs r re= 1 for f ≥ f min R S r e 10 = ⇒C in = 10 2 f min C in 2 f min R S r e 1 24 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 = ≈1062 F ! 125.6⋅75 Not Practical! Must choose smaller value of Cin. Choose: 2 f min C in R S r e =1 1 C in = ≈106.2 F 125.6⋅75 2009 Kenneth R. Laker, updated 05Oct12 KRL 25 ESE319 Introduction to Microelectronics ignore RB Small-signal Analysis - Cb Determine Cb: (let C in =∞ ) Note the ac reference current reversals (due to vs polarity)! 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 2009 Kenneth R. Laker, updated 05Oct12 KRL 26 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 2009 Kenneth R. Laker, updated 05Oct12 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 27 ESE319 Introduction to Microelectronics Multisim Simulation 4.7 k Ohm vO 31.8 uF 1060 uF 470 Ohm vs v o 1 RC RC 4700 AV = = ≈ = =62.7 v s R S r e R S r e 5025 2009 Kenneth R. Laker, updated 05Oct12 KRL 28 ESE319 Introduction to Microelectronics Multisim Frequency Response 20 Hz response vertical axis is a linear scale 1 % 1 kHz Response 2009 Kenneth R. Laker, updated 05Oct12 KRL Av sim=63.3A v theory =62.7 29