BJT Differential Amplifier (2): Input Resistance & Gain

BJT Differential Amplifier (2): Input Resistance & Gain

🎙 Vincent Chang 👥 2K 📅 December 29, 2020 ⏱ 13 min 👁 814 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

BJTdifferential amplifierinput resistancedifferential gainsmall-signal analysis

Summary

This video is the second part of a tutorial on BJT differential amplifiers, focusing on calculating the differential input resistance and the small-signal differential voltage gain. The instructor, Vincent Chang, begins by reviewing the three-step small-signal analysis method introduced in the previous video: total resistance, Ohm’s law, and the counterclockwise steps. He explains how to determine the small-signal emitter resistance (re) from the DC bias current, emphasizing that re = 2VT / IQ. Then, he defines the differential input resistance as the resistance seen between the two input terminals, looking into the bases. Using the resistance reflection rule, he shows that Rid = (1+β) * 2re. He also derives the differential voltage gain for a differential output, showing that Ad = -α * (total collector resistance) / (total emitter resistance), with the sign depending on the output polarity. He provides a homework problem and solves it using analysis by inspection. The video concludes with a summary of key takeaways and an encouragement to practice.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides a clear and structured explanation of the small-signal analysis of a BJT differential amplifier. The instructor uses a step-by-step approach, building on previous knowledge and emphasizing the ‘resistance reflection rule’ and ‘analysis by inspection’ to simplify calculations. The derivations are logical and easy to follow, with practical examples. The argumentation is solid, based on standard circuit theory and semiconductor physics. The instructor also provides a homework problem to reinforce learning, which adds value. However, the video lacks a formal introduction to the circuit schematic, which may be confusing for viewers who have not seen the previous video. The informal digressions (e.g., about a broken mug) are distracting but do not undermine the technical content.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is adequate for a tutorial: the instructor uses standard formulas and methods, and the derivations are consistent with textbook treatments. However, no specific sources are cited in the video or description, which limits the ability to verify the content against external references. The title accurately reflects the content, and the video is well-structured. The instructor’s credentials lend credibility, but the lack of citations is a minor weakness. The video does not include any sponsored content.

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Title / Content Match

The title accurately reflects the content, which focuses on input resistance and differential gain of a BJT differential amplifier.

Quality & Reliability

7/10

The instructor has a PhD in Electrical Engineering and 30 years of teaching experience. The content is based on standard small-signal analysis techniques and is presented with clear derivations. However, the video lacks formal citations to textbooks or papers, and the presentation includes some informal digressions.

Key Moments

Contribution & Novelties

The video offers a pedagogical approach to teaching BJT differential amplifiers, emphasizing intuitive ‘analysis by inspection’ techniques. It provides a clear derivation of input resistance and gain, which is valuable for students. The instructor’s method of breaking down the analysis into simple steps is effective.

Pour aller plus loin :

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Radar Profile

The radar profile shows high scores in quality of information and technical level, indicating a technically sound tutorial. The quantity of information is moderate, and the global reliability is good, though limited by the lack of citations.

Reliability 7/10