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Recall Last Lecture Voltage Transfer Characteristic A plot of Vo versus Vi Use BE loop to obtain a current equation, IB in terms of Vi Use CE loop to get IC in terms of Vo Change IC in terms of IB Equate the two equations to link Vi with Vo Bipolar Transistor Biasing Fixed Bias Biasing Circuit Vo (V) Cutoff 5 = 4.8 Active Saturation 0.2 0.7 x 5 V (V) i x = 4.3 Biasing using Collector to Base Feedback Resistor IC + IB = IE IB IC IE Find RB and RC such that IE = 1mA , VCE = 2.3 V, VCC = 10 V and b=100. NOTE: Proposed to use branch current equations and node voltages BiasingI =using Collector to Base Feedback 1mA , V = 2.3 V, V = 10 V and b=100. E CE CC Resistor VC VB • • • • • (VC – VB ) / RB= IB but VC = VCE and VB = VBE = 0.7 V (2.3 – 0.7) / RB = (IE / (b+1) RB = 161.6 kW • (VCC – VC ) / RC = IE • RC = 7.7 kW Voltage Divider Biasing Circuit This is a very stable bias circuit. The currents and voltages are almost independent of variations in b. Analysis Redrawing the input side of the network by changing it into Thevenin Equivalent RTh: the voltage source is replaced by a short-circuit equivalent Analysis VTh: open-circuit Thevenin voltage is determined. VTH VTH Use voltage divider Inserting the Thevenin equivalent circuit Analysis The Thevenin equivalent circuit BJT Biasing in Amplifier Example Find VCE ,IE, IC and IB given b=100, VCC=10V, R1 = 56 kW, R2 = 12.2 kW, RC = 2 kW and RE = 0.4 kW VTH= R2 /(R1 + R2 )VCC VTH = 12.2k/(56k+12.2k).(10) VTH = 1.79V RTH = R1 // R2 = 10 kW BJT Biasing in Amplifier Circuits VTH = RTH IB + VBE + RE IE 1.79 = 10k IB + 0.7 + 0.4k (b+1)IB IB = 21.62mA IC = bIB = 100(21.62m)=2.16mA IE = IC + IB = 2.18mA VCC = RC IC + VCE + RE IE 10 = 2k(2.16m)+VCE +0.4(2.18m) VCE = 4.8 V Basic Transistor Application Digital Logic – NOT GATE In the simple inverter circuit, if the input is approximately zero volts, the transistor is in cutoff and the output is high and equal to VCC. If the input is high and equal to VCC, the transistor is driven into saturation, and the output is low and equal to VCE (sat). Digital Logic – NOR Gate If the two inputs are zero, both transistors Q1 and Q2 are in cutoff, and VO = 5 V. When V1 = 5 V and V2 = 0, transistor Q1 can be driven into saturation, and Q2 remains in cutoff. With Q1 in saturation, the output voltage VO = VCE (sat). If V1 = 0 and V2 = 5 V, then Q1 is in cutoff, and Q2 can be driven in saturation, and VO = VCE (sat). If both inputs are high, meaning V1 = V2 = 5 V, then both transistors can be driven into saturation, and VO = VCE (sat). In a positive logic system, meaning that the larger voltage is a logic 1 and the lower voltage is a logic 0, the circuit performs the NOR logic function. The circuit is then a two-input bipolar NOR logic circuit.