Contents. 1. Fundamentals of Amplification The Small-Signal Pentode 40. Acknowledgements. Some Useful Formulae

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Contents Preface Acknowledgements Some Useful Formulae vii ix x 1. Fundamentals of Amplification 1 1.1: Basic Theory of Valves 2 1.2: Valve Diodes 2 1.3: Triodes 4 1.4: Anode Resistance, r a 6 1.5: Amplification Factor, µ 6 1.6: Transconductance, g m 7 1.7: Amplification 9 1.8: The Load Line 9 1.9: Biasing 11 1.10: The Cathode Load Line 13 1.11: Harmonic Distortion 15 1.12: Intermodulation Distortion 17 1.13: Cut-Off Clipping 18 1.14: Grid-Current Clipping 19 1.15: The Effect of Load on Distortion 21 1.16: The Golden Ratio 22 1.17: The AC Load Line 23 1.18: The Cathode Bypass Capacitor 25 1.19: Equivalent Circuits 29 1.20: Input and Output Impedance 22 1.21: Output Impedance of a Triode Gain Stage 30 1.22: Input Impedance of a Triode Gain Stage 32 1.23: Valve Ratings and the Safe Operating Area 33 1.24: Component Ratings 35 1.25: Types of Resistor 37 1.26: Types of Capacitor 38 2. The Small-Signal Pentode 40 2.1: Secondary Emission 41 2.2: The Suppressor Grid 42 2.3: The Screen Grid 42 2.4: The Effect of Screen Voltage 43 2.5: The Effect of Screen Current 45 2.6: The Anode/Screen Current Ratio 46 2.7: Deriving Grid Curves for Any Screen Voltage 47 2.8: A Simple Pentode Gain Stage 48 2.9: Effect of Screen and Cathode Bypassing 50 i

ii 2.10: Effect of Load on Distortion 52 2.11: Designing a Pentode Gain Stage the Easy Way 53 2.12: Pentodes Connected as Triodes 55 2.13: Pentode-Triode Morph Control 56 2.14: Variable Screen Bypass 57 3. Noise, Hum and Microphonics 59 3.1: Noise 59 3.2: Noise in Resistors 62 3.3: Noise in Triodes 63 3.4: Noise in Pentodes 64 3.5: Noise Calculations for a Triode Gain Stage 64 3.6: Noise Calculations for Cascaded Triodes 66 3.7: Principles of Low-Noise Design 67 3.8: Hum 69 3.9: Electric Fields 69 3.10: Magnetic Fields 70 3.11: Transformers and Hum 70 3.12: Electric Shielding 71 3.13: Magnetic Shielding 72 3.14: Lead Dress 73 3.15: Rectifier-Induced Heater Hum 75 3.16: Electrical Heater Balancing 76 3.17: Heater-Cathode Leakage and Heater Elevation 77 3.18: DC Heaters 79 3.19: Microphony 80 3.20: Diode Noise Gate 80 4. Coupling and Filters 82 4.1: Electromagnetic Guitar Pickups 82 4.2: Active Guitar Pickups 83 4.3: Piezoelectric Pickups 84 4.4: Equivalent Circuit of a Pickup 84 4.5: Electromagnetic Pickup Frequency Response 85 4.6: The Amplifier Input Network 87 4.7: High Impedance Input for Piezo Pickups 89 4.8: Interstage Filters 89 4.9: Understanding Filters with Simplified Bode Plots 90 4.10: High-Pass Filter 92 4.11: Low-Pass Filter 93 4.12: Attenuating High-Pass Filter 93 4.13: Attenuating Low-Pass Filter 95 4.14: High-Pass Shelving Filter 95 4.15: Low-Pass Shelving Filter 96 4.16: Band-Pass Filter 97 4.17: The Anode Bypass Capacitor 98 4.18: Blocking Distortion 100

4.19: Avoiding Blocking Distortion 102 4.20: DC Coupling 104 4.21: Level Shifting 105 4.22: Grid-Cathode Arc Protection 105 5. Valves in Parallel 107 5.1: Anode Characteristics of Parallel Valves 107 5.2: Noise in Parallel Valves 108 5.3: The Matchless Input Stage 109 5.4: The Common-Anode Mixer 110 5.5: Dissimilar Cathode Circuits 111 5.6: Blend Control 112 6. The Cathode Follower 113 6.1: Gain of the Cathode Follower 113 6.2: Output Impedance of the Cathode Follower 114 6.3: Avoiding Oscillation 116 6.4: Anode Characteristics 116 6.5: Using the New Anode Characteristics 118 6.6: Fixed Bias 119 6.7: Cathode Bias 120 6.8: DC Coupling 122 6.9: Heater Elevation 123 6.10: Input Resistance of the Cathode Follower 124 6.11: Input Capacitance of the Cathode Follower 125 6.12: The Pentode as a Cathode Follower 125 6.13: Transistor Followers 126 6.14: Cathode Followers in Guitar Amps 127 6.15: Controlling Cathode-Follower Clipping 128 6.16: Bootstrapping for More Gain 129 7. The Cascode 133 7.1: Basic Operation of the Cascode 133 7.2: The Effect of Screen Voltage 134 7.3: Drawing the Anode Characteristics by Hand 136 7.4: Equations for the Cascode 138 7.5: Designing a Cascode the Easy Way 139 7.6: Grid-Leak Biasing and Screen Compression 140 8. The Cathodyne Phase Inverter 143 8.1: The Cathodyne 143 8.2: Gain of the Cathodyne 144 8.3: Output Impedance 145 8.4: Designing a Cathodyne 146 8.5: Fixed Bias 148 8.6: Cathode Bias 149 iii

8.7: DC Coupling 150 8.8: Input Resistance of the Cathodyne 151 8.9: Input Capacitance of the Cathodyne 151 8.10: Avoiding Unpleasant Distortion Effects 152 9. The Long-Tailed-Pair Phase Inverter 154 9.1: Basic Operation of the Long-Tailed Pair 154 9.2: Common-Mode Rejection Ratio (CMRR) 155 9.3: Gain of the Long-Tailed Pair 156 9.4: Output Impedance 157 9.5: Designing a Long-Tailed Pair 158 9.6: Fixed Bias 159 9.7: Cathode Bias 160 9.8: DC Coupling 161 9.9: Dissimilar Anode Resistors 162 9.10: Input Resistance of the Long-Tailed Pair 163 9.11: Input Capacitance of the Long-Tailed Pair 163 9.12: Adding Global Negative Feedback 164 9.13: Presence Control 166 9.14: Resonance Control 167 9.15: Variable Feedback 168 9.16: Feedback-Free Resonance Control 169 9.17: Scale Control 170 9.18: Effects of Bias on the Long-Tailed Pair 171 9.19: Blocking Distortion 174 10. Feedback 177 10.1: The Universal Feedback Equation 177 10.2: Virtual Earth 179 10.3: Local Feedback 179 10.4: Effect on Headroom 181 10.5: Effect on Distortion and Noise 181 10.6: Effect on Frequency Response 183 10.7: Effect on Input and Output Impedance 184 10.8: Global Feedback: Single-Ended Amplifier Example 185 10.9: Global Feedback: Push-Pull Amplifier Example 188 10.10: Feedback from Alternative Speaker Taps 190 11. Tone Controls 191 11.1: Impedance Considerations 191 11.2: Impedance Scaling 192 11.3: Frequency Range 193 11.4: Simple Treble Controls 195 11.5: Simple Bass Controls 197 11.6: Simple Middle Controls 199 11.7: Tilt Control 201 11.8: The Bandmaster Tone Stack 203 iv

11.9: The Voigt Tone Stack 204 11.10: The James Tone Stack 204 11.11: The Passive Baxandall Tone Stack 205 11.12: The Bone Ray Tone Stack 206 11.13: The FMV Tone Stack 207 11.14: Tone Stack Defeat / Lift 209 12. Effects Loops 210 12.1: Serial and Parallel Effects Loops 210 12.2: Placement of Effects 211 12.3: Line Levels 211 12.4: Effects Loop Input and Output Impedance 213 12.5: Passive Line Out 214 12.6: Active Line Out 215 12.7: Commercial Line-Out Circuits 216 12.8: The Recovery Stage 218 12.9: Practical Serial Effects Loop 219 12.10: Practical Parallel Effects Loops 219 13. Signal Switching 222 13.1: Series and Shunt Switching 222 13.2: Clicks, Pops and Thumps 224 13.3: Light-Dependent Resistors 225 13.4: Relays 226 13.5: Audio Switching with Relays 227 13.6: Control Circuits for Relays 228 13.7: Power Supplies for Relay Circuits 231 13.8: Solid-State Relays 234 13.9: Audio Switching with SSRs 235 13.10: Control Circuits for SSRs 236 13.11: Power Supplies for SSRs 237 13.12: JFET Analog Switches 237 13.13: Audio Switching with JFETs 238 13.14: Control Circuits for JFET Analog Switches 242 13.15: Power Supplies for JFET Analog Switches 243 13.16: Some Two-Channel Switching Topologies 244 13.17: Switching More than Two Channels 247 14. Topology 249 14.1: Low-Gain or Clean Topologies 249 14.2: A Low-Gain Preamp Design 251 14.3: An Approach to Medium and High-Gain Design 251 14.4: Medium-Gain Topologies 255 14.5: A Medium-Gain Preamp Design 256 14.6: High-Gain Topologies 257 14.7: A High-Gain Preamp Design 258 14.8: An Ultra-High-Gain Preamp Design 259 v

15. Grounding 262 15.1: Safety Earth 263 15.2: Ground Loops 264 15.3: Power-Supply Ripple Current 265 15.4: Power-Supply Smoothing Filters 266 15.5: Signal Currents 268 15.6: Ground Planes 269 15.7: Bus Grounding 270 15.8: Star Grounding 271 15.9: The Ground-to-Chassis Connection 274 15.10: Ground Lift 275 15.11: Grounding Multi-Channel Amplifiers 276 15.12: Miscellaneous Ground Connections 277 Bibliography 278 Index 281 vi