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Common collector

The common collector amplifier, also known as the emitter follower, is a basic configuration of a (BJT) in which the collector terminal serves as the common connection between the input and output circuits, with the input applied to the and the output taken from the emitter. This arrangement results in a voltage of approximately (close to 1), making it ideal for buffering without significant voltage amplification, while providing a current of β + 1, where β is the transistor's current factor (typically 100 or more). Key characteristics include a high , often exceeding 4 kΩ and reaching hundreds of kilohms depending on , which minimizes loading on preceding stages, and a very low , typically 1–10 Ω, enabling it to drive low-impedance loads effectively. As one of the three primary BJT amplifier configurations—alongside and —the excels in applications requiring impedance transformation and signal isolation, such as serving as an output stage to connect high-impedance sources to low-impedance loads like speakers or multiple devices. Its unity voltage gain stems from the emitter voltage closely following the base voltage (V_E ≈ V_B - 0.7 V for BJTs), with the small intrinsic emitter r_e (approximately V_T / I_E, where V_T is 26 mV at ) contributing to the low . The configuration's is generally broad, with low cutoff frequencies around 100–200 Hz and high cutoffs up to 50–150 kHz in typical designs using components like 0.1 μF capacitors. In practical circuits, the common collector is often biased with a at the base and an emitter R_E for stability, using transistors like the or , and it is frequently cascaded after a stage to form a two-stage with overall voltage gain while benefiting from the low for improved drive capability. This makes it a versatile building block in analog electronics, particularly for audio amplifiers, sensor interfaces, and voltage regulators where preserving without is crucial.

Introduction

Definition and Terminology

The common collector amplifier is a configuration of a (BJT) in which the collector terminal is connected to both the input and output circuits, serving as the common electrode, while the input signal is applied to the and the output is taken from the emitter. This setup distinguishes it from other BJT configurations by prioritizing signal transfer through the emitter rather than amplification of voltage across the collector- junction. Commonly referred to as an emitter follower due to the emitter output closely tracking the base input, this amplifier is also known as a voltage buffer or unity-gain amplifier because of its characteristic voltage gain of approximately one. The core terminology emphasizes its role in following the input signal with minimal alteration, leveraging the transistor's inherent properties to maintain signal integrity. At its fundamental level, the common collector operates via a mechanism in which the output voltage at the emitter follows the input voltage at the , offset by the base-emitter of approximately 0.7 V for BJTs. This ensures and results in high current gain—typically β + 1, where β is the transistor's current gain factor—while providing near-unity voltage gain, making it ideal for between high-impedance sources and low-impedance loads. The common collector configuration is one of the three basic BJT amplifier topologies, which became standard in transistor electronics following the BJT's development in the early 1950s.

Comparison to Other Configurations

The common collector (CC) configuration, also known as the emitter follower, is one of the three fundamental bipolar junction transistor (BJT) amplifier topologies, alongside the common emitter (CE) and common base (CB). All three operate the BJT in its active region, where the base-emitter junction is forward-biased and the base-collector junction is reverse-biased, enabling linear amplification without entering saturation or cutoff. Unlike the CE, which provides high voltage gain but inverts the signal with a 180° phase shift, the CC offers unity voltage gain (approximately 1) with no phase inversion (0° shift), making it non-inverting and suitable for applications requiring signal fidelity. The CB configuration, in contrast, also delivers high voltage gain without phase inversion but features a current gain near unity (α ≈ 1), differing from the CC's high current gain of β + 1, where β is the transistor's current gain factor. In terms of impedances, the CC stands out with its high (typically in the hundreds of kΩ) and low (often tens of Ω or less), ideal for buffering between stages with mismatched impedances. This contrasts with the CE's moderate (around 1-2 kΩ) and moderate-to-high (several kΩ), which suits general but may load prior stages. The CB exhibits the lowest (tens of Ω) and highest , making it appropriate for high-frequency applications where low input capacitance is beneficial, though it demands careful . The CC's characteristics arise from inherent , which stabilizes the output close to the input voltage. Key trade-offs among these configurations highlight the CC's role as a rather than an : while the and provide significant voltage (gains >1, often tens to hundreds), the CC sacrifices voltage gain for superior current buffering and impedance transformation, avoiding the signal distortion possible in high-gain CE stages. Additionally, the CB offers the widest due to minimized Miller capacitance effects, outperforming the lower bandwidths of CE and CC in high-speed circuits.
ConfigurationVoltage GainCurrent GainInput ImpedanceOutput ImpedancePhase ShiftTypical Use Cases
Common Emitter (CE)High (>1)High (β)Moderate (kΩ)Moderate to High (kΩ)180°General , signal inversion
Common Base (CB)High (>1)≈1 (α)Low (tens of Ω)High (kΩ)High-frequency ,
Common Collector (CC)≈1High (β + 1)High (hundreds of kΩ)Low (tens of Ω)Buffering, voltage following,

Circuit Configuration

Basic Circuit Diagram

The basic common collector circuit, also known as an emitter follower, utilizes an NPN (BJT) as the core active device. In the standard schematic, the collector terminal of the NPN BJT is directly connected to the positive supply voltage V_{CC}, forming the common point shared by input, output, and . The base serves as the input terminal, where the AC signal is applied through an input coupling C_{in} to block DC while passing the signal; the base is also biased via a network consisting of s R_1 (connected to V_{CC}) and R_2 (connected to ). The emitter terminal provides the output, connected to an emitter R_E that leads to , with the AC output signal extracted across R_E via an output coupling C_{out} to isolate the load from DC bias. A bypass C_E is often placed in parallel with R_E to shunt AC signals around the resistor for enhanced AC performance. The signal flow in the diagram follows the path from the base input, through the BJT, to the emitter output, while DC biasing paths are established separately: from V_{CC} through R_1 to the base, and from the emitter through R_E to , ensuring stable quiescent operating points. Key components include the NPN BJT (e.g., ), biasing resistors R_1 and R_2 (typically in the kΩ range for voltage division), R_E (for current setting), and coupling capacitors C_{in} and C_{out} (chosen based on needs). A variation of the employs a BJT for applications requiring inverted , where the emitter connects to the negative supply, the to (or common), and adjusted accordingly, while maintaining the same topological input at the and output at the emitter.

Biasing and Operation

The common , also known as an emitter follower, employs at the to establish a DC operating point in the active region of the (BJT). This method uses two resistors, R1 connected from the supply voltage V_CC to the and R2 from the to , creating a Thevenin equivalent voltage V_B = V_CC \cdot \frac{R_2}{R_1 + R_2} that forward-biases the base-emitter junction while ensuring the collector-emitter voltage V_CE exceeds the base-emitter voltage V_BE (typically around 0.7 V for silicon BJTs), with current I_C approximately equal to emitter current I_E. For DC analysis, the quiescent is determined by solving the emitter current as I_E = \frac{V_B - V_{BE}}{R_E}, where R_E is the emitter connected to or a negative supply, assuming the base current is negligible due to high current gain β. This setup positions the transistor's Q-point centrally in the to allow maximum signal swing without or , with the collector typically tied directly to V_CC for voltage gain in the DC sense. In AC operation, the input signal is superimposed on the at the , and the emitter voltage follows the base voltage with a small offset due to V_BE, providing a voltage near unity while offering high current for . The emitter R_E plays a key role in stabilization by introducing (degeneration), which counteracts variations in parameters. Practically, R_E is chosen such that it supports the desired load current while providing (degeneration) without a bypass to minimize , where rising temperature increases I_E and risks device failure; this reduces the temperature of the point by opposing current increases.

Performance Characteristics

Gains and Impedances

The common collector amplifier provides a voltage A_v approximately equal to , making it a non-inverting configuration where the output voltage closely follows the input signal. This unity arises because the emitter voltage tracks the base voltage minus the base-emitter drop (V_{BE} \approx 0.7 V), resulting in a slightly less than in practice. The current gain A_i is approximately equal to the transistor's current gain \beta, typically ranging from 100 to 300 for common bipolar junction transistors, though it is more precisely \beta + 1. This high current gain allows the to provide significant drive capability to loads without drawing excessive current from the input source. Input impedance Z_{in} is high, approximated as Z_{in} \approx \beta (R_E \parallel R_L), where R_E is the emitter resistance and R_L is the load resistance; this characteristic makes the common collector suitable as a buffer stage following amplifiers with lower . Output impedance Z_{out} is low, approximated as Z_{out} \approx r_e + (R_{source} / \beta), with r_e being the small-signal emitter resistance, enabling effective driving of low-impedance loads such as speakers or transmission lines.
ParameterApproximate Value/ExpressionTypical Range/Implication
Voltage Gain (A_v)\approx 1 (non-inverting)Slightly <1 due to V_{BE} drop; unity follower action
Current Gain (A_i)\approx \beta100–300; high drive for loads
Input Impedance (Z_{in})\approx \beta (R_E \parallel R_L)High (kΩ range); buffers prior stages
Output Impedance (Z_{out})\approx r_e + (R_{source} / \beta)Low (<50 Ω); drives low-impedance loads
Power gain is moderate, stemming from the high current gain despite the near-unity voltage gain, resulting in a power gain roughly equal to the current gain. In class-A operation, the efficiency is near 50%, particularly when using inductive or tuned loads to optimize power transfer, though resistive loads typically yield lower values around 25%.

Frequency Response and Stability

The of the common collector amplifier exhibits a flat voltage close to unity from (DC) up to high frequencies, owing to its minimal on the input . In this configuration, the voltage gain A_v \approx 1, resulting in a Miller-multiplied C_M = C_\pi (1 - A_v) \approx 0, where C_\pi is the base-emitter diffusion ; this negligible avoids the seen in common-emitter s, wide primarily by parasitic capacitances such as the collector-base C_\mu. The lower cutoff frequency is determined by the coupling capacitors and biasing resistors, which form high-pass filters that attenuate low-frequency signals; for instance, the input coupling capacitor combines with the source and input resistances to set the low-frequency , typically designed to extend into the audio range or below depending on component values. At the upper end, the f_H arises from the transistor's transition frequency f_T and parasitic capacitances, with the gain rolling off at approximately f_H \approx g_m / (2\pi C_{out}), where g_m is the and C_{out} represents the total output including load and device parasitics; this yields bandwidths often exceeding those of other BJT configurations, approaching f_T in optimized designs. Stability in the common collector amplifier is inherently high due to its degenerative mechanism, which samples the output voltage and feeds it back to the input in opposition, providing ample and eliminating risk in basic setups without additional compensation. This also enhances linearity and reduces sensitivity to parameter variations across frequencies. However, practical limits emerge with large load capacitances, which can interact with the to form resonant poles or even negative input , potentially compromising in high-capacitive-load applications; often involves series resistors or inductive peaking.

Derivations of Parameters

The small-signal analysis of the common collector (CC) amplifier employs the hybrid-π model of the (BJT), which represents the device with base-emitter resistance r_\pi = \beta / g_m, transconductance g_m = I_C / V_T (where V_T is the thermal voltage, approximately 26 mV at ), controlled current source g_m v_\pi from collector to emitter, and output resistance r_o = V_A / I_C (with V_A the Early voltage). In the CC configuration, the collector is AC-grounded, the input signal is applied to the base via source resistance R_\text{source}, and the output is taken from the emitter with degeneration R_E to and load R_L in parallel with R_E. Assumptions include small-signal operation in the , infinite Early voltage (r_o \to \infty), and finite current \beta; these simplify the model by neglecting output conductance effects while accounting for finite β limitations, such as reduced gains at low R_E.

Voltage Gain Derivation

The voltage gain A_v = v_o / v_s (where v_s is the source voltage and v_o is the output voltage across R_E \parallel R_L) is derived using the T-model equivalent of the hybrid-π for simplicity in the emitter path, where r_e = 1 / g_m \approx V_T / I_E. Let R_\text{load} = R_E \parallel R_L. The base voltage is v_b = v_s - i_b R_\text{source}, and v_b = v_o + i_e r_e, with i_e = v_o / R_\text{load} and i_e \approx \beta i_b for large β. Substituting yields v_s - i_b R_\text{source} = ( \beta i_b ) r_e + ( \beta i_b ) R_\text{load}. Solving for i_b: i_b = v_s / [ R_\text{source} + \beta (r_e + R_\text{load}) ]. Then, v_o = \beta i_b R_\text{load} = \beta R_\text{load} v_s / [ R_\text{source} + \beta (r_e + R_\text{load}) ] = R_\text{load} / [ R_\text{load} + r_e + R_\text{source} / \beta ]. Thus, A_v = R_\text{load} / ( R_\text{load} + r_e + R_\text{source} / \beta ), which approximates to \approx 1 when R_\text{load} \gg r_e + R_\text{source} / \beta. This near-unity gain reflects the emitter-follower action, with slight attenuation due to the base-emitter drop and source loading.

Input Impedance Derivation

The input impedance Z_\text{in} is the impedance seen at the base terminals with the output loaded by R_L. Using the hybrid-π model, the base current i_b = v_\pi / r_\pi, and the emitter current i_e = (1 + \beta) i_b \approx \beta i_b. The voltage at the v_b = v_\pi + v_e, where v_e = i_e (R_E \parallel R_L) = \beta i_b R_\text{load} and v_\pi = i_b r_\pi. Thus, v_b = i_b r_\pi + \beta i_b R_\text{load} = i_b [ r_\pi + \beta R_\text{load} ]. Since r_\pi = \beta r_e, Z_\text{in} = v_b / i_b = \beta (r_e + R_\text{load}). This high value, often in the MΩ range for typical β ≈ 100 and R_load ≈ 1 kΩ, arises from the bootstrapping effect of the emitter . Limitations include finite β, which reduces Z_in if β is small.

Output Impedance Derivation

The output impedance Z_\text{out} is found using the test voltage method, with the input source shorted (v_s = 0, so the base connects to ground via R_\text{source}) and the load R_L disconnected. Apply test voltage v_t across the output port (emitter to ground, parallel to R_E); measure test current i_t. The total Z_\text{out} = R_E \parallel Z_\text{em}, where Z_\text{em} is the impedance looking into the emitter. For Z_\text{em}, the base voltage v_b = i_b R_\text{source}, v_\pi = v_b - v_t = i_b R_\text{source} - v_t, and i_b = v_\pi / r_\pi. Solving: i_b = (i_b R_\text{source} - v_t) / r_\pi, so i_b (r_\pi + R_\text{source}) = -v_t (sign adjusted for direction), yielding i_b = -v_t / (r_\pi + R_\text{source}). The emitter current i_e = ( \beta + 1 ) i_b \approx \beta i_b = - \beta v_t / (r_\pi + R_\text{source}). Since i_t = - i_e (convention: i_t into emitter), i_t = \beta v_t / (r_\pi + R_\text{source}). Thus, Z_\text{em} = v_t / i_t = (r_\pi + R_\text{source}) / \beta = r_e + R_\text{source} / \beta (using r_\pi = \beta r_e). Therefore, Z_\text{out} = (r_e + R_\text{source} / \beta ) \parallel R_E, which is low (tens of ohms) due to β amplification, enabling buffering of low-impedance loads. If R_\text{source} = 0, it simplifies to r_e \parallel R_E.

Current Gain Derivation

The current gain A_i = i_o / i_\text{in} (where i_\text{in} = i_b and i_o = v_o / R_L) follows from the voltage gain and impedances. From earlier, i_o = v_o / R_L = A_v v_s / R_L and i_\text{in} = v_s / (R_\text{source} + Z_\text{in}) \approx v_s / Z_\text{in} for high Z_in. Thus, A_i \approx A_v (Z_\text{in} / R_L ). Substituting approximations A_v \approx 1 and Z_\text{in} \approx \beta (r_e + R_\text{load}) \approx \beta R_\text{load} (since r_e \ll R_\text{load}) gives A_i \approx \beta. For the exact form with degeneration, consider i_e = \beta i_b but i_o = i_e R_\text{load} / (R_\text{load} + r_e) from the gain derivation, leading to A_i = \beta R_\text{load} / [ R_\text{load} + r_e (1 + R_\text{source} \beta / (R_\text{source} + \beta r_e)) ] \approx \beta / (1 + \beta r_e / R_E ) when R_\text{source} \ll \beta r_e and R_L \gg R_E. This approximates to \beta for R_E \gg r_e, providing high current buffering with minimal loss from finite β.

Applications and Implementations

Traditional Uses

The common collector configuration, also known as the , traditionally employed impedance transformer to match high-impedance sources to low-impedance loads, particularly in audio preamplifiers where it prevents signal by providing between stages. This buffering action leverages the circuit's characteristically low , typically on the order of tens of ohms, to drive subsequent low-resistance components without significant . In multistage amplifiers, the common collector serves as an emitter follower stage inserted between common-emitter amplifiers to minimize loading effects on prior stages, thereby preserving overall gain and by offering high and low . This interstage buffering is essential in analog designs requiring cascaded amplification without mutual interference between sections. As the output stage in class-AB push-pull amplifiers, the complementary common collector topology delivers power to loads efficiently while minimizing through slight bias overlap between NPN and transistors, achieving efficiencies up to 78.5% for sinusoidal signals. This configuration is particularly valued in amplifiers for its and ability to handle moderate power levels without excessive heat dissipation. The common collector functions as a voltage follower to maintain signal integrity in sensor interfaces, where it buffers delicate high-impedance sensor outputs—such as from thermocouples or gauges—to prevent loading and ensure accurate voltage transfer to circuits. Historical applications include its use in early radio receivers from the mid-20th century, where it buffered stages to isolate tuned circuits and improve selectivity. Similarly, in oscilloscope designs of the 1950s through 1980s, the emitter follower provided input buffering to achieve high impedance, enabling accurate capture without distorting the measured signal.

Modern and Practical Examples

In digital circuits, the common collector configuration facilitates level shifting between logic families, such as and , where emitter followers act as efficient converters with delays in the tens of nanoseconds, suitable for time-sensitive applications like in experimental setups. It also serves as a fast switching , providing high-speed isolation between stages due to its low and current gain. Practical implementations of the common collector appear in both and forms, with versions allowing custom for specific impedance needs and IC versions integrating emitter followers for compact designs. For instance, in the low-voltage audio amplifier, the output stage employs an NPN emitter follower configuration to boost current drive while maintaining . In design, common collector circuits benefit from short traces to reduce parasitic effects, whereas IC implementations minimize board space and enhance reliability in mixed-signal boards. SPICE simulations of common collector amplifiers confirm voltage , with transient waveforms showing the output closely tracking the input signal in and , offset by approximately 0.7 V due to the base-emitter drop, while demonstrating high that preserves source signals and low that supports heavy loads without significant droop. Compared to op-amp , the common collector offers a simpler, lower-cost alternative for low-power scenarios, delivering current with near- voltage and low around 25 Ω, though op-amps provide superior and exact for applications. In RF circuits, it functions as a for , isolating stages and achieving wideband output matching with tunable current mirrors to extend flatness. The common collector buffers sensor outputs in low-power wideband systems, enabling efficient with minimal quiescent current. It supports battery-powered devices through voltage following that reduces draw in portable . Hybrid designs pairing BJTs with appear in modern modules, combining BJT current handling with MOSFET switching speed for high-efficiency applications.

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