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Common-Base Amplifier

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BJT Amplifier ConfigurationsCommon-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 ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication 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 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-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 IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble 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 FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss'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 Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsThe WKB ApproximationWKB Quantization and Bohr-Sommerfeld RuleAngular Momentum QuantizationSolution of the Hydrogen AtomIntroduction to Scattering TheoryPartial Wave Analysis in ScatteringSpin Angular MomentumElectron Spin and Intrinsic Magnetic MomentStern-Gerlach Experiment: Spin Quantization and MeasurementElectron Diffraction and Matter Wave PropertiesDavisson-Germer Experiment: Crystal Diffraction of ElectronsElectron Diffraction and Matter Wave InterferenceWavefunctions and Probability Density InterpretationQuantum Superposition and Linear Combinations of StatesQuantum Operators and ObservablesExpectation Values and AveragesTime-Independent Perturbation TheoryDegenerate Perturbation TheoryTime-Dependent Perturbation TheoryTransition Probabilities and Selection RulesHydrogen Atom Spectral SeriesSpectral 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 PrincipleElectrical Properties of MaterialsDiode Characteristics and ModelsDiode Circuit ApplicationsBipolar Junction Transistor (BJT) FundamentalsBJT Amplifier ConfigurationsCommon-Base Amplifier

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