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Berkeley ELENG 105 - Lecture Notes

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Lecture 7 ANNOUNCEMENTS MIDTERM 1 will be held in class on Thursday Thursday October 11 Review session will be held on Friday October 5 MIDTERM 2 will be held in class on Tuesday November 13 OUTLINE BJT Amplifiers cont d Biasing Amplifier topologies Common emitter topology Reading Chapter 5 5 1 2 5 3 1 1 2 5 3 1 EE105 Fall 2007 Lecture 7 Slide 1 Prof Liu UC Berkeley Biasing of BJT Transistors must be biased because 1 They must operate in the active region 1 region and 2 Their small signal model parameters are set by the bias conditions EE105 Fall 2007 Lecture 7 Slide 2 Prof Liu UC Berkeley DC Analysis vs Small Signal Analysis Firstly DC analysis is performed to determine the DC operating point and to obtain the small signal small signal model parameters Secondly independent sources are set to zero and the small signal model is used EE105 Fall 2007 Lecture 7 Slide 3 Prof Liu UC Berkeley Simplified Notation Hereafter the voltage source that supplies power to the circuit is replaced by a horizontal bar labeled VCC and input signal is simplified as one node labeled vin EE105 Fall 2007 Lecture 7 Slide 4 Prof Liu UC Berkeley Example of Bad Biasing The microphone is connected to the amplifier in an attempt to amplify the small output signal of the microphone Unfortunately there is no DC bias current running through the transistor to set the transconductance EE105 Fall 2007 Lecture 7 Slide 5 Prof Liu UC Berkeley Another Example of Bad Biasing The base of the amplifier is connected to VCC trying to establish a DC bias Unfortunately the output signal produced by the microphone is shorted to the power supply EE105 Fall 2007 Lecture 7 Slide 6 Prof Liu UC Berkeley Biasing with Base Resistor Assuming a constant value for VBE one can solve for both IB and IC and determine the terminal voltages of the transistor However the bias point is sensitive to variations EE105 Fall 2007 Lecture 7 Slide 7 Prof Liu UC Berkeley Improved Biasing Resistive Divider Using a resistive divider to set VBE it is possible to produce an IC that is relativelyy insensitive to p variations in if the base current is small EE105 Fall 2007 Lecture 7 Slide 8 Prof Liu UC Berkeley Accounting for Base Current With a proper ratio of R1 to R2 IC can be relatively insensitive to However its exponential p dependence p on R1 R2 makes it less useful EE105 Fall 2007 Lecture 7 Slide 9 Prof Liu UC Berkeley Emitter Degeneration Biasing RE helps to absorb the change in VX so that VBE stays relativelyy constant This bias technique is less sensitive to if I1 IB and VBE variations EE105 Fall 2007 Lecture 7 Slide 10 Prof Liu UC Berkeley Bias Circuit Design Procedure 1 Choose a value of IC to provide the desired small signal model parameters gm r etc etc 2 Considering the variations in R1 R2 and VBE choose 2 a value for VRE 3 With VRE chosen and VBE calculated Vx can be determined 4 Select R1 and R2 to provide Vx EE105 Fall 2007 Lecture 7 Slide 11 Prof Liu UC Berkeley Self Biasing Technique This bias technique utilizes the collector voltage to provide the necessaryy Vx and IB p One important characteristic of this approach is that the collector has a higher potential than the base thus h guaranteeing active mode d operation off the h BJT EE105 Fall 2007 Lecture 7 Slide 12 Prof Liu UC Berkeley Self Biasing Design Guidelines 1 RC RB 2 VBE VCC VBE 1 provides insensitivity to 2 provides insensitivity to variation in VBE EE105 Fall 2007 Lecture 7 Slide 13 Prof Liu UC Berkeley Summary of Biasing Techniques EE105 Fall 2007 Lecture 7 Slide 14 Prof Liu UC Berkeley PNP BJT Biasing Techniques The same principles that apply to NPN BJT biasing also apply to PNP BJT biasing biasing with only voltage and current polarity modifications EE105 Fall 2007 Lecture 7 Slide 15 Prof Liu UC Berkeley Possible BJT Amplifier Topologies There are 3 possible ways to apply an input to an amplifier and 3 possible ways to sense its output In practice only 3 out of the possible 6 input output combinations are useful EE105 Fall 2007 Lecture 7 Slide 16 Prof Liu UC Berkeley Common Emitter CE Topology EE105 Fall 2007 Lecture 7 Slide 17 Prof Liu UC Berkeley Small Signal of CE Amplifier vout Av vin EE105 Fall 2007 Lecture 7 Slide 18 Prof Liu UC Berkeley Limitation on CE Voltage Gain Since gm IC VT the CE voltage gain can be written as a function of VRC where VRC VCC VCE VCE should be larger than VBE for the BJT to be operating in active mode I C RC VRC Av VT VT EE105 Fall 2007 Lecture 7 Slide 19 Prof Liu UC Berkeley Voltage Gain Headroom Tradeoff EE105 Fall 2007 Lecture 7 Slide 20 Prof Liu UC Berkeley I O Impedances of CE Stage When measuring output impedance the input port has to be grounded so that vin 0 0 vX Rout RC iX vX Rin r iX EE105 Fall 2007 Lecture 7 Slide 21 Prof Liu UC Berkeley CE Stage Design Trade offs EE105 Fall 2007 Lecture 7 Slide 22 Prof Liu UC Berkeley Inclusion of the Early Effect The Early effect results in reduced voltage gain of the CE amplifier amplifier Av gm RC rO Rout RC rO EE105 Fall 2007 Lecture 7 Slide 23 Prof Liu UC Berkeley Intrinsic Gain As RC goes to infinity the voltage gain approaches its maximum possible value value gm rO which is referred to as the intrinsic gain The intrinsic gain is independent of the bias current Av g m rO VA Av VT EE105 Fall 2007 Lecture 7 Slide 24 Prof Liu UC Berkeley Current Gain AI The current gain is defined as the ratio of current delivered to the load to current flowing into the input input For a CE stage it is equal to iout AI iin AI EE105 Fall 2007 CE Lecture 7 Slide 25 Prof Liu UC Berkeley


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Berkeley ELENG 105 - Lecture Notes

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