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Understanding Differential Amplifiers with BJT

May 1, 2025

Differential Amplifier Design using BJT

Introduction

  • Differential Amplifier: Amplifies the difference between two input signals.
  • Usage: Common in integrated circuits, such as the first stage of an op-amp.

Differential vs Single-Ended Input

  • Single-Ended Amplifiers: Input applied between input and ground; noise also amplified.
  • Differential Input: Eliminates common-mode noise present at both inputs.

Advantages of Differential Amplifiers

  • Noise Elimination: Common-mode noise is eliminated, improving signal clarity.
  • Supply Hum Reduction: Differential configuration reduces common noise in circuits.
  • No Coupling Capacitors Needed: When cascaded, coupling capacitors are unnecessary.

Circuit Design

  • Components: Requires a matched pair of BJTs with equal collector resistors.
  • Current Source: Emitter of transistors connected to a constant current source, often a current mirror in ICs.
  • Discrete Components: May introduce mismatches.

DC Analysis

  • Current Computation: Current Iee is divided equally between two matched transistors.
  • KVL Application: Helps find emitter current, collector current approximated as emitter current:
    • Formula: Iee = (Vee - Vbe) / Re
  • Collector Voltage: Vc = Vcc - α*Iee*Rc/2

Response to Signals

Common-Mode Signal

  • Characteristics: Could be DC or common noise.
  • Current Division: Iee equally divided between emitters, Vc remains balanced.
  • Differential Output: Remains zero, unaffected by common-mode.

Differential Input Signal

  • Current Steering: Large differential input steers entire bias current to one transistor.
  • Small Differential Signal: Differential input voltage should be small (under 2Vt) for amplification.
  • Virtual Ground: Node P acts as a virtual ground for small signals.

Voltage Gain

  • Gain Formula: ΔVo / ΔVin = gm*Rc.
  • Differential Output: Vo2 - Vo1 eliminates common-mode.

Conclusion

  • Overview: Provided a general introduction to the differential amplifier.
  • Future Discussion: Further analysis in upcoming content.

Next Steps

  • Upcoming Video: Large and small-signal analysis.

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