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 ● 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 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 ( ) CB Amplifier high low (about 1) Input Resistance high high low Output Resistance high low high CE BJT amplifier => CS MOS amplifier CC BJT amplifier => CD MOS amplifier CB BJT amplifier => CG MOS amplifier 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 2 ESE319 Introduction to Microelectronics Common Collector ( Emitter Follower) Amplifier vout 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.” 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 3 ESE319 Introduction to Microelectronics Emitter Follower Biasing Then, choose/specified IE, and the rest of the design follows: iC Vb iB iE vout 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 ⇒ R1 = R2 V B= 2 As with CE bias design, stable op. pt. => RB ≪1 RE , i.e. R1 RE RB= R1∥ R2 = =1 ≈10 RE 2 10 R1 = R2=20 RE 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 4 ESE319 Introduction to Microelectronics Typical Design Choose: I E =1 mA V CC =12 V And the rest of the design follows immediately: V E 12/ 2−0.7 RE = = =5.3 k −3 IE 10 iC Vb iB iE vout Use standard sizes! RE =5.1 k R1 = R2=100 k 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 5 ESE319 Introduction to Microelectronics Equivalent Circuits RB= R1∥R2 Rb vout vout <=> VCC/2 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 6 ESE319 Introduction to Microelectronics Multisim Bias Check V Rb= I B R B= IE R =0.495 V 1 B iB - vout <=> VRb + Rb vout Identical results – as expected! 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 7 ESE319 Introduction to Microelectronics Emitter Follower Small Signal Circuit Mid-band equivalent circuit: RB 50 vsig ' = vsig = vsig ≈ vsig RB RS 50.05 50 RTH = RS∥ RB= RS ≈ RS 50.05 vout Rb Small signal mid-band circuit - where CB has negligible reactance (above min). Thevenin circuit consisting of RS and RB shows effect of RB negligible, since it is much larger than RS. 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 8 ESE319 Introduction to Microelectronics Follower Small Signal Analysis - Voltage Gain Circuit analysis: vsig = RS r 1 RE i b ib ie vout Solving for ib v sig i b= RS r 1 RE RE 1 v sig vout = RS r 1 RE vout RE v sig AV = = ≈1 vsig RS r RE 1 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 9 ESE319 Introduction to Microelectronics Small Signal Analysis – Voltage Gain - cont. vout RE = v sig RS r RE 1 vout Since, typically: RS r ≪ RE 1 vout RE AV = ≈ =1 v sig RE Note: AV is non-inverting 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 10 ESE319 Introduction to Microelectronics Blocking Capacitor - CB - Selection + Rb vbg - ib Use the base current expression: vbg = r i b RE i E = r 1 i b vbg i b= r 1 RE vbg r bg = = r 1 RE ≈1 RE =101⋅5.1 k =515 k RS =50 ib To obtain the base to ground resistance of the transistor: This transistor input resistance is in parallel with the 50 k RB, forming the total amplifier input resistance: RRinB=50 k ≫ RS 515 Ri n = RS RB∥r bg ≈ RB∥r bg = 50 k =45.6 k 51550 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 11 ESE319 Introduction to Microelectronics CB – Selection cont. Choose CB such that its reactance is ≤ 1/10 of Rin at min: Ri n 1 Assume the lowest frequency = C B 10 is 20 Hz: 10 CB ≥ min Ri n min=2 20≈125=1.25⋅102 =100 −7 CB ≥ 10⋅10 ≈1.73 F 1.25⋅0.46 Ri n≈46 k Pick CB = 2 F (two 1 F caps in parallel), the nearest standard value in the RCA Lab. We could be (unnecessarily) more precise and include Rs as part of the total resistance in the loop. It is very small compared to Rin. 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 12 ESE319 Introduction to Microelectronics Final Design 2.0 uF vout 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 13 ESE319 Introduction to Microelectronics Multisim Simulation Results 20 Hz. Data 1 Khz. Data 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 14 ESE319 Introduction to Microelectronics Of What value is a Unity Gain Amplifier? ib ie vout To answer this question, we must examine the output impedance of the amplifier and its power gain. 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 15 ESE319 Introduction to Microelectronics Emitter Follower Output Resistance ib 0 vout ix vx Rout RB=50 k ≫ RS Assume: −i x i x=−i b− i b =−1 i b ⇒ i b = 1 RS r v x=−i b Rs r = i 1 x r v x RS r Rout = = ≈ ix 1 1 Rout is the Thevenin resistance looking into the open-circuit output. VT VT I C =1 mA⇒ r = = =2500 IB IC =100 RS =50 2550 Rout ≈ =25.5 100 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 16 ESE319 Introduction to Microelectronics Multisim Verification of R out Rout Rin Av*vsig AV = 1 i x=−1 i x i sc =i x vsig = RS i b r i b <=> Rin = RS r 1 RE∥ RL≈1 RL + voc= AV v sig - Thevenin equivalent for the short-circuited emitter follower. If was 200, as for most good NPN transistors, Rout would be lower - close to 12 . AV v sig RS r Rout = = ix 1 i sc =i x Multisim short circuit check ( = 100, vout = vsig): voc AV v sig rms 1 Rout = = = =25.25 i sc i sc rms 0.0396 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 17 ESE319 Introduction to Microelectronics Equivalent Circuits with Load R L ib vout ie Rout v Z in = sig i 'e <=> RL + + Rin Av*vsig vload RL||Re - vsig rms 1 Rout = = =25.25 i sc rms 0.0396 Rin= RS r 1 RE∥RL≈1 RL 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 18 ESE319 Introduction to Microelectronics Emitter Follower Power Gain Consider the case where a RL = 50 load is connected through an infinite capacitor to the emitter of the follower we designed. Using its Thevenin equivalent: isig Rout≈25 C =∞ vsig Rin iload + - Av*vsig vth=G vsig RL AV vsig 50 2 vload = = v = v RL Rout 75 sig 3 sig AV vsig v sig i load = = Rout RL 75 2 2 pload =vload i load = vsig 225 + vload RL≈50 AV ≈1 - 50 load is in parallel with 5.1k RE and dominates: vsig vsig v sig i sig =i b = ≈ ≈ Rin 1 RE∥RL 101⋅50 1 v2sig 5000 pload 25000 G pwr = = =44.4≫1 p sig 225 p sig =v sig i sig ≈ 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 19 ESE319 Introduction to Microelectronics The Common Base Amplifier vout vout Voltage Bias Design Current Bias Design 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 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! 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. 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 21 ESE319 Introduction to Microelectronics Voltage Bias Common Base Design 47k Ohm 4.7 k Ohm vout 5.1k Ohm 470 Ohm 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. 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 22 ESE319 Introduction to Microelectronics Common Base Small Signal Analysis - C i'b ib Determine CIN: (let C B=∞) 4.7 k Ohm ∞ ic i'e I'c ie 470 Ohm Find a equivalent impedance for the input circuit, RS, CIN, and RE2: RE2∥r e vRe2= isig RE2∥r e RS Zin re IN 1 j C IN RE2∥r e ideally vRe2= R ∥r R vsig E2 e S vsig r = r e 1 for ≥ min RS r e 1 1 10 ≪ RS RE2∥r e ⇒ = ⇒ C IN = 10 min C IN min C IN min RS r e 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 23 ESE319 Introduction to Microelectronics Determine C IN cont. A suitable value for CIN for a 20 Hz lower frequency: 10 10 min C IN RS r e ≫1⇒ C IN ≥ = F 2 min RS r e 2 20⋅75 10 C IN = ≈1062 F ! 125.6⋅75 Not too practical! Must choose smaller value of CIN. 1. Choose: min C IN RS r e =1 or 2. Choose larger min 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 24 ESE319 Introduction to Microelectronics Small-signal Analysis - C i'b i'c ib RE2 >> RS ib' Determine CB: (let C IN =∞) Note the reference current reversals (due to vsig polarity)! 1 v sig = R i r i 'b j CB ' S e i'e ie Zin Determine Z in = ic B v sig i ' e ' i 1 e v sig = RS i'e r j C B 1 1 ' e i= 1 RS r 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 1 j CB vsig 25 ESE319 Introduction to Microelectronics Determine – CB i'b i'c ' e i= ib' i'e 1 1 1 RS r j CB v sig ' e i= RE2 >> RS RS Zin Z in= v sig i 'e vsig 1 1 r 1 j C B = RS 1 1 r 1 j CB r 1 ideally Z in≈ RS ⇒ ≪1 RS r for ≥ min 1 C B 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 26 ESE319 Introduction to Microelectronics Determine - C B cont. i'b i'c For ≥ min vout ib' i'e RE2 >> RS r 1 Z in≈ RS ⇒ ≪1 RS r 1 C B Choose: C B≥ 10 F min 1 RS r i.e. C B≥ 10 =10.5 F 2 20 1001502500 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 27 ESE319 Introduction to Microelectronics Small-signal Analysis – ∞ ib' RE2 >> RS Assume: C B=C IN =∞ ' e i≈ Voltage Gain 1 r RS 1 1 v sig = v sig RS r e RC vout = R i = R i = vsig 1 RS r e ' C c ' C e vout RC 100 5100 AV = = = ≈67 vsig 1 RS r e 101 5025 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 28 ESE319 Introduction to Microelectronics Multisim Simulation 1062 uF 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 29 ESE319 Introduction to Microelectronics Multisim Frequency Response 20 Hz. response 1 KHZ. Response 2008 Kenneth R. Laker (based on P. V. Lopresti 2006) updated 01Oct08 KRL 30