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Common-Base Amplifier

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BJT Amplifier Configurations→→Common-Collector AmplifierCommon-Emitter Amplifier
common-base current-buffer high-frequency low-input-impedance cascode no-phase-inversion

Core Idea

The common-base (CB) amplifier has its base terminal AC-grounded (via a bypass capacitor), with signal input at the emitter and output taken from the collector. It provides high voltage gain (A_v = g_m * R_C, similar in magnitude to the CE but without phase inversion) and a current gain near unity (alpha, slightly less than 1). Its distinctive feature is very low input impedance (approximately r_e = V_T / I_C, typically tens of ohms), making it suited for interfacing with low-impedance sources like transmission lines or photodetectors. The CB configuration excels at high frequencies because the Miller effect is absent — the collector-base capacitance C_bc does not get multiplied by voltage gain as it does in the CE topology, yielding a much wider bandwidth. The CB stage is frequently combined with a CE stage in the cascode configuration to achieve both high gain and wide bandwidth.

How It's Best Learned

Compare the CB and CE amplifiers side by side using the hybrid-pi model. Show that the same transistor produces similar voltage gain magnitudes in both topologies but with fundamentally different input impedances, current gains, and frequency responses. Analyze the Miller effect in the CE case to see why it limits bandwidth, then demonstrate its absence in the CB configuration.

Common Misconceptions

Explainer

You already understand the common-emitter (CE) amplifier from your BJT configurations prerequisite: the emitter is AC-grounded, signal enters the base, output is taken from the collector, and you get high voltage gain with phase inversion. The common-base (CB) configuration is best understood by contrast. Instead of AC-grounding the emitter, you AC-ground the *base* (via a large bypass capacitor to AC ground). The signal now enters at the emitter and exits at the collector. Everything changes — except the transistor.

The most immediately striking difference is the input impedance. In the CE amplifier, the input impedance looking into the base is β × r_e, typically a few kilohms. In the CB amplifier, the input is at the emitter, where the impedance is simply r_e = V_T / I_C — on the order of 25 Ω at 1 mA. This is not a bug; it is the feature. Transmission lines (coaxial cables used in RF work) have characteristic impedances of 50 or 75 ohms. Photodetectors and other sensors often behave as current sources driving low impedances. A CE amplifier would create a severe impedance mismatch in these systems, wasting signal power and causing reflections. The CB amplifier is impedance-matched to these sources by design.

The current gain situation is equally counterintuitive. The CB amplifier's current gain is α = I_C / I_E ≈ 0.99 — slightly less than unity. Compare this to the CE's current gain β ≈ 100. You might expect this to make the CB amplifier weak, but voltage gain tells a different story. Since nearly all the emitter current flows to the collector (I_C ≈ I_E), and the output is taken across a load resistor R_C, the voltage gain is A_v = g_m × R_C — numerically identical in magnitude to the CE amplifier. The CB stage sacrifices current gain to get low input impedance; it does not sacrifice voltage gain.

The most important advantage of the CB over the CE is bandwidth. Recall that in the CE amplifier, the collector-base junction capacitance C_bc appears across the high-gain amplifying path. By the Miller effect, this capacitance is multiplied by (1 + |A_v|) when reflected to the input, creating a large effective input capacitance that limits bandwidth. In the CB amplifier, the base is grounded. The collector-base capacitance C_bc is now connected from the output to AC ground — it forms a simple shunt at the output, not an amplified feedback path. There is no Miller multiplication. The bandwidth of a CB stage can be ten or more times greater than a CE stage with the same transistor and bias current. This is why the CB configuration dominates in RF amplifiers, optical receivers, and the high-frequency input stage of the cascode — the CE-plus-CB cascade that combines the current gain of a CE with the bandwidth of a CB.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → The WKB Approximation → WKB Quantization and Bohr-Sommerfeld Rule → Angular Momentum Quantization → Solution of the Hydrogen Atom → Introduction to Scattering Theory → Partial Wave Analysis in Scattering → Spin Angular Momentum → Electron Spin and Intrinsic Magnetic Moment → Stern-Gerlach Experiment: Spin Quantization and Measurement → Electron Diffraction and Matter Wave Properties → Davisson-Germer Experiment: Crystal Diffraction of Electrons → Electron Diffraction and Matter Wave Interference → Wavefunctions and Probability Density Interpretation → Quantum Superposition and Linear Combinations of States → Quantum Operators and Observables → Expectation Values and Averages → Time-Independent Perturbation Theory → Degenerate Perturbation Theory → Time-Dependent Perturbation Theory → Transition Probabilities and Selection Rules → Hydrogen Atom Spectral Series → Spectral Lines and Energy Transitions → Selection Rules for Atomic Transitions → LS and jj Coupling Schemes in Multi-Electron Atoms → Pauli Exclusion Principle and Antisymmetric Wavefunctions → Electron Configuration and the Aufbau Principle → Electrical Properties of Materials → Diode Characteristics and Models → Diode Circuit Applications → Bipolar Junction Transistor (BJT) Fundamentals → BJT Amplifier Configurations → Common-Base Amplifier

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