Bias Circuit

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Equation 12.4 The 2 Vopeak is due to the fact that the integration is from minus Vopeak to plus Vopeak. The voltage drop across Ry has been neglected in the output. Suppose we choose Cf as the design parameter where Vs, T, Vopeak, and Ry (from Unit 11) are given. The capacitor is then selected according to Equation 12.5 For example, for Vs = 1 mV, Vopeak = 5 V, Ry = 220 Ω and T = 1 mS (f = 1 kHz), Cf = 23 nF. In the integrator project, a sine-wave source is used. The integrated output for this case is Equation 12.6 The sine term can be neglected and the resulting formulation can be used to predict the peak of the cosine for a given Cf and peak Vs. A more general solution for the output voltage for the noninverting integrator includes the current through the resistor Rf. If we neglect the voltage across Ry, (12.2) becomes, for this case (constant input or square-wave input) Equation 12.7 The solution is Equation 12.8 Replacing the exponential with the first three terms of an infinite series gives Equation 12.9
This demonstrates that for the circuit to function properly as an itegrator, the choice of Rf should satisfy RfCf >> T/2. In the above example, Cf = 23 nF. With this capacitor and Rf = 1 MΩ, for example, RfCf = 23 ms, compared with T/2 = 0.5 ms. The magnitude of Rf must also satisfy the requirement of sustaining the operational amplfier in the active mode. The solution for the periodic square-wave input, giving an approximate trianglar-wave output, unlike (12.8), includes the fact that the transient does not start at zero volts. This case is considered in Exercise12.mcd, Part 2. The output voltage function equivalent to (12.2) for the invertingmode integrator is Equation 12.10 This would apply to the circuit of Fig. 12.1 with the plus input grounded and the source, Vs, attached at the grounded end of Ry.
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Copyright Library of Congress Catal
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National Improvements | Virtual Ins
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formulations, the results from Math
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Hardware and Software Requirements
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Chan0_out Pin 21 Chan0_in Pin 68 Gn
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LabVIEW VI Libraries and Project an
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1.1 Resistor Voltage Divider and MO
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1.3 Frequency Response of the Ampli
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At f = flo, . This, by definition,
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1.5 Exercises and Projects Project
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2.1 BJT and MOSFET Schematic Symbol
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2.2 Fundamentals of Signal Amplific
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2.3 Basic NMOS Common-Source Amplif
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Using (2.4), (2.5), (2.9), and (2.1
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Unit 3. Characterization of MOS Tra
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In electronic circuit applications,
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The output-characteristic equation
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Equation 3.11 From the data measure
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The input circuit loop equation (Fi
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which leads to the result (3.5), re
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Unit 4. Signal Conductance Paramete
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4.2 Transistor Variable Incremental
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4.3 Transconductance Parameter The
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4.4 Body-Effect Transconductance Pa
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4.5 Output Conductance Parameter Th
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With a 1 - V drop across RS and a 5
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By the nature of the load-line func
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Unit 5. Common-Source Amplifier Sta
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5.2 Amplifier Voltage Gain This dc
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etween the drain and source of the
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5.3 Linearity of the Gain of the Co
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where av Vds/Vgs and where the appr
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is attached directly to the gate. B
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5.5 Design of a Basic Common-Source
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= VGSo - Vtno at the high and low e
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RG can be selected somewhat arbitra
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6.1 Grounded-Source Amplifier: Coup
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and Equation 6.6 Note that the "RC"
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6.4 Load Coupling Capacitor The com
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6.5 Summary of Equations MOSFET cou
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Unit 7. MOSFET Source-Follower Buff
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7.2 Source-Follower Voltage Transfe
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7.3 Body Effect and Source-Follower
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7.4 Summary of Equations Threshold
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Unit 8. MOSFET Differential Amplifi
Page 99 and 100: 8.2 DC Imbalances In a real transis
Page 101 and 102: 8.3 Signal Voltage Gain of the Idea
Page 103 and 104: 8.4 Effect of the Bias Resistor on
Page 105 and 106: 8.5 Differential Voltage Gain Suppo
Page 107 and 108: 8.7 Voltage Gains Including Transis
Page 109 and 110: 8.7.2 Common-Gate Amplifier Stage T
Page 111 and 112: with RD1 = RD2 and gm1 = gm2. In th
Page 113 and 114: It follows that the gain for the in
Page 115 and 116: 8.9 Amplifier Gain with Differentia
Page 117 and 118: 8.11 Summary of Equations Rs = Ris2
Page 119 and 120: 8.12 Exercises and Projects Project
Page 121 and 122: 9.1 Basic Current Source An example
Page 123 and 124: 9.2 Current Source with Source Dege
Page 125 and 126: If the magnitude of the voltage acr
Page 127 and 128: Any slight possible difference in
Page 129 and 130: Unit 10. Common-Source Amplifier wi
Page 131 and 132: 10.2 Signal Voltage Gain The expres
Page 133 and 134: 10.3 Summary of Equations Output dr
Page 135 and 136: Unit 11. Operational Amplifiers wit
Page 137 and 138: 11.1.1 Voltage Gain of the Noninver
Page 139 and 140: This expression can be manipulated
Page 141 and 142: 11.3 Operational Amplifier Offset I
Page 143 and 144: where the approximation usually app
Page 145 and 146: where Avo is the amplifier gain at
Page 149: 12.1 Operational Amplifier Integrat
Page 153 and 154: with a steady-state value of Vop. A
Page 155 and 156: Equation 12.25 A good estimate come
Page 159 and 160: 13.1 Combining NMOS and PMOS Circui
Page 161 and 162: 13.3 Stabilization of Signal Gain a
Page 163 and 164: An estimate of the new output volta
Page 165 and 166: This produces (9.9) from Ro = Vo/Io
Page 167 and 168: Equation 13.13 where 13.12 has been
Page 169 and 170: The open-loop transconductance is G
Page 171 and 172: Unit 14. Development of a Basic CMO
Page 173 and 174: 14.2 Current-Source Output Resistan
Page 175 and 176: 14.3 Current-Source Load for the Co
Page 177 and 178: 14.4 Current-Source Load for the Di
Page 179 and 180: the node (exclusive of the separate
Page 181 and 182: 14.5 Two-Stage Amplifier with Curre
Page 183 and 184: 14.6 Output Buffer Stage It is evid
Page 185 and 186: Suppose that ID6 = 400 µA, W6 = 50
Page 187 and 188: Av and Ro are calculated once, usin
Page 189 and 190: Since the source follower of M1 has
Page 191 and 192: 14.9 Summary of Equations CMRR = 1
Page 193: Unit A. Communicating with the Circ
Page 196 and 197: Place AI Acquire Waveform.vi in the
Page 198 and 199: Click from the Front Panel or Diagr
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Now go to the Diagram (under Menu W
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To complete connections to the term
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Now use the Edit Text Tool to edit
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on the left in the diagram . The Wh
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Figure A.15. Frame of Sequence Stru
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The transition regions are nonabrup
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during the oscilloscope measurement
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Unit B. Characterization of the Bip
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junction diodes, the current is lar
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common to the input and output and
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B.2 Base-Width Dependence on Juncti
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Figure B.8. Diodelike characteristi
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The minus sign comes from having as
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Figure B.10. Circuit for measuring
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B.5 Output Characteristics of BJT i
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After measuring the output characte
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B.6 SPICE Solution for IC versus VC
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B.7 Collector-Emitter Voltage and C
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B.8 DC as a Function of Collector C
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B.10 Summary of Equations Common-em
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Unit C. Common-Emitter Amplifier St
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The equation set above has three un
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The output-resistance parameter, ro
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of βDC as possible. Signal paramet
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Equation C.17 We note that the magn
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C.4 Accuracy of Transistor Gain Mea
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C.5 Effect of Finite Slope of the T
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It follows that for this case, f3dB
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C.7 Common-Emitter Amplifier with A
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Equation C.41 where IC IC(VCE), tha
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Applied voltage Vo sums up to Equat
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C.7.3 DC (Bias) of the NPN - PNP Am
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where Equation C.58 and Equation C.
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Equation C.67 The result is signifi
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The following form of the result pr
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This is equivalent to a unity-gain
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C.11 Summary of Circuit Equations B
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C.12 Exercises and Projects Project
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P1.1 Resistor Voltage-Divider Measu
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• Place AO Update Channel.vi in F
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• (Optional) To install the circu
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Procedure • Set your value of RG2
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• In the Diagram, we will add Get
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P1.4 Resistor Voltage Divider with
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• Now move the capacitor C2 = C1
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P2.1 NMOS Common-Source Circuit wit
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• In the Diagram (below), place,
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P2.2 NMOS Common-Source Amplifier w
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P2.3 Amplifier with Signal and Gain
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• Connect to FG1Chan.vi, the vari
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P3.1 SPICE Parameters and Pin Diagr
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P3.3 PMOS Transistor Use pins 6 (ga
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Procedure • Run PMOSlinear.vi and
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Procedure • Run PMOSparsub.vi wit
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Procedure • Run PMOSparam.vi to r
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Active Region Procedure • Install
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Laboratory Project 4. Characterizat
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P4.2 NMOS Transistor Use CD4007 pin
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P4.4 NMOS Parameters from the Trans
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P4.5 NMOS Lambda from the Transfer
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P4.6 NMOS Gamma SubVI Components No
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• Set RS. With NMOSgamsub.vi open
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• A file can be obtained from the
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P5.1 SPICE Equations and Pin Diagra
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P5.3 Amplifier Gain at One Bias Cur
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P5.4 Amplifier Gain versus Bias Cur
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Laboratory Project 6. PMOS Common-
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P6.2 SPICE PMOS and Circuit Equatio
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P6.4 Amplifier Gain LabVIEW Computa
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P6.5 Amplifier Frequency Response P
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P7.1 Chip Diagram and SPICE Equatio
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P7.3 Amplifier Gain at Optimum Bias
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P7.4 Optimum Bias Stability Test
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P7.5 Amplifier Frequency Response P
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Laboratory Project 8. NMOS Source-
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P8.2 Source-Follower DC Evaluation
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available for the next VI. It is us
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Laboratory Project 9. MOSFET Differ
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P9.2 DC Evaluation of the Single-Po
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P9.3 Determination of the PMOS Para
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Gains will be obtained from the gra
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• Run SweepSim.vi to obtain the d
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Laboratory Project 10. Current Mirr
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P10.2 Evaluation of the Current-Sou
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P10.4 Evaluation of the Bias Setup
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Laboratory Project 11. Operational
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P11.2 Bias Circuit Setup 1 Offset N
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P11.3 Opamp Offset Voltage Componen
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P11.4 Evaluation of the Bias Balanc
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VOH • Reset the Chan0_out Range,
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P11.6 Evaluation of the Gain with S
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P11.7 Determination of the Opamp Fr
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Laboratory Project 12. Operational
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P12.2 Opamp Integrator Components R
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Procedure • Turn off the power su
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Laboratory Project A. Communicating
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PA.2 Sending and Receiving Voltages
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Bipolar TABLE PA.2 0 to +5V 1.22 mV
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PA.5 Observing the Oscilloscope Out
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of the DAC. The steps are 2.44 mV f
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• The example here illustrates th
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Laboratory Project B. Characterizat
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PB.2 SPICE Equations SPICE Equation
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parameters nF and IS. • Connect C
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PB.4 DC versus the Collector Curren
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• Now open VI, IC_VCE.vi. Set the
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Laboratory Project C1. NPN Common-
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PC.2 DC Circuit Setup and Parameter
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PC.3 Amplifier Gain at One Bias Cur
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PC.4 Amplifier Gain versus Bias Cur
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• Run FreqResp.vi. Verify that in
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PC.6 SPICE Equations and Pin Diagra
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• Determine the value of VAF spec
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• Set the Run Mode switch to Set
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• Now reset VCC(init) and VBB(ini
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Bias Circuit

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