Common-Base Amplifier

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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

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's 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Probability Density InterpretationQuantum Superposition and Linear Combinations of StatesQuantum Operators and ObservablesCanonical Commutation Relations and UncertaintyHeisenberg Uncertainty Principle and Measurement LimitsTime-Independent Schrödinger Equation and EigenvaluesHydrogen Atom in Quantum MechanicsSpectral Lines and Energy TransitionsSelection Rules for Atomic TransitionsLS and jj Coupling Schemes in Multi-Electron AtomsPauli Exclusion Principle and Antisymmetric WavefunctionsElectron Configuration and the Aufbau PrincipleThe Periodic Table and Atomic Electronic StructureThe Periodic TableElectron ConfigurationPeriodic TrendsIonization EnergyIonic BondingLewis StructuresPolar Covalent Bonds and Dipole MomentsClassification of Bonds: Ionic, Covalent, and MetallicMetallic Bonding and Properties of MetalsCrystal Structures and Solid PropertiesCrystal Structure and Unit CellsElectrical Properties of MaterialsDiode Characteristics and ModelsDiode Circuit ApplicationsBipolar Junction Transistor (BJT) FundamentalsBJT Amplifier ConfigurationsCommon-Base Amplifier

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