Lecture 80: Differential Amplifier: Analysis and Numerical examples (contd.) - 80.2 | 80. Differential Amplifier : Analysis and Numerical Examples (Contd.)(Part B) | Analog Electronic Circuits - Vol 4
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80.2 - Lecture 80: Differential Amplifier: Analysis and Numerical examples (contd.)

Practice

Interactive Audio Lesson

Listen to a student-teacher conversation explaining the topic in a relatable way.

Common Mode Voltage in Differential Amplifiers

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0:00
Teacher
Teacher

Today, we're going to discuss the concept of common mode voltage in differential amplifiers. Can anyone explain what common mode voltage is?

Student 1
Student 1

I think it's the voltage that is common to both inputs of the amplifier.

Teacher
Teacher

Exactly! It's essential to determine how this voltage range affects our amplifier's performance. What happens if the common mode voltage is too high?

Student 2
Student 2

It could push the amplifier into saturation, right?

Teacher
Teacher

Correct! A common mode voltage that approaches the supply voltage limits our output swing and could cause distortion. Let's calculate the suitable range!

Student 3
Student 3

How do we calculate this range?

Teacher
Teacher

We determine it based on the voltage drops across resistors and keeping the transistors in their active region. Remember the acronym 'O.P.E.N.' for Operating Point Evaluation!

Student 4
Student 4

Oh, that's helpful! So, what’s the output swing we can expect?

Teacher
Teacher

Good question! If our calculations indicate a limited swing, we might need to adjust our common mode voltage down to maintain linearity. Let's summarize: Common mode voltage impacts our amplifier’s output limits.

BJT vs. MOSFET in Differential Amplifiers

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0:00
Teacher
Teacher

Now, let's shift our focus to BJTs and MOSFETs in differential amplifiers. What are some distinctions between these two types of transistors?

Student 1
Student 1

BJTs use current to control the output, while MOSFETs use voltage.

Teacher
Teacher

Exactly! And this leads to different analyzing techniques. When considering a MOSFET differential amplifier, how do we find the differential mode gain?

Student 2
Student 2

I think we use transconductance and resistances in the circuit.

Teacher
Teacher

Absolutely! The gain can be calculated with the formula A_d = g_m * R_D. Also, can anyone recall what T in 'R' represents?

Student 3
Student 3

That's the resistance at the drain!

Teacher
Teacher

Correctβ€”the output load resistance! Let's summarize key ideas: BJTs are current controlled, while MOSFETs are voltage controlled, and we calculate gains based on transconductance and load resistor values.

Practical Applications and Examples of Differential Amplifiers

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0:00
Teacher
Teacher

Now to bring it all together, let's apply our knowledge through numerical examples. Suppose we have a differential amplifier configuration with BJTs. If V_CC is 12V and our current is limited, how do we calculate the base-emitter voltage?

Student 4
Student 4

We need our V_BE to be about 0.6 to 0.7V for the transistor to operate properly.

Teacher
Teacher

Exactly! That’s crucial for biasing the transistor correctly. Now, who can tell me the relationship between the drop across a certain resistance and the output voltage?

Student 1
Student 1

The output voltage depends on the voltage drop across the load resistances.

Teacher
Teacher

That's right! The small signal model reflects this by showing how variations affect the output. Let's summarize: Correct biasing ensures linear operation, and the output voltage reflects the load characteristics.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section discusses the analysis of differential amplifiers, focusing on common mode voltage ranges, gain calculations, and examples using both BJTs and MOSFETs.

Standard

The section delves into the operational limits of differential amplifiers, considering factors such as common mode voltage, differential mode gain, and how configurations using BJTs and MOSFETs affect performance. Numerical examples illustrate theoretical concepts while offering a hands-on approach to understanding amplifier functionality.

Detailed

In this section, we explore the intricacies of differential amplifiers, specifically examining the suitable range of common mode voltage and how it affects circuit performance. Starting with BJTs, we analyze a scenario where a common mode voltage of 0.8V impacts current flow and output swing. The calculations demonstrate how the output voltage can be significantly limited due to the common mode range, leading us to refine our understanding of dc operating points and their importance in amplifier design. Transitioning to MOSFET configurations, we examine similar principles by setting a meaningful input DC voltage and analyzing the corresponding outputs. Through examples, we derive gains, model swings, common mode influences, and potential distortion, thereby solidifying our grasp on differential amplifier behavior under varying input conditions.

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Analog Electronic Circuits _ by Prof. Shanthi Pavan
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Audio Book

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Determining the Common Mode Voltage Range

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So, we are talking about the Differential Amplifier and we assume that we do have meaningful value of this DC voltage. So, our next exercise is to find what may be the range, suitable range of this common mode voltage.

Detailed Explanation

In this chunk, the discussion begins with the differential amplifier and emphasizes the need to determine the appropriate range for the common mode voltage. The common mode voltage is the average voltage at the input terminals of the amplifier and plays a crucial role in its performance. By ensuring a meaningful DC voltage, one can influence the behavior of the differential amplifier effectively.

Examples & Analogies

Think of the common mode voltage like the base level in a construction. If the base level is too low or too high, the building will either sink or become unstable. Similarly, the differential amplifier needs a stable common mode voltage to function correctly.

Analyzing Current and Voltage Drops

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So, if the voltage here it is only 0.2 V and R it is 1 kΩ and the DC voltage here it is 0.8 V which is given here. So, the current flow here it is 0.2 mA.

Detailed Explanation

In this chunk, the focus shifts to specific voltage and current calculations within the differential amplifier circuit. With a given voltage of 0.2 V across a resistance of 1 kΞ©, the current is calculated to be 0.2 mA. This is a crucial step in understanding how voltage and resistance relate to current flow via Ohm's Law (V = IR). Such calculations help determine the operation of the amplifier and its efficiency.

Examples & Analogies

Imagine water flowing through a pipe. The pressure (voltage) and the size of the pipe (resistance) determine the flow rate (current). In this case, a small pressure drop results in a low flow rate, just as a small voltage drop leads to a low current in the circuit.

Understanding Signal Constraints

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On the other hand β€’ve side we do have very good swing. It can go as low as 0.2 V here and V_CE(sat) so that is 0.3 V. So the lower limit here it is 0.5 V.

Detailed Explanation

This part of the text highlights the limitations of signal swing in the output of the differential amplifier. While the negative side can swing well, the positive side has a constraint that limits the range. For example, positive swing limited to about 0.52 V prevents the amplifier from performing optimally, leading to distortion in output signals when exceeding supply voltage.

Examples & Analogies

Consider a seesaw at a park. One side can go down a lot without issues (negative swing) while the other side (positive swing) can only go up a tiny bit before it hits something above it – the ceiling above the seesaw is similar to the positive swing constraint.

Effects of Gain Changes

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So, the differential mode gain A_d is calculated as g_m * R_C = 20. So, the gain you may recall the previous case when the current here it was 1 mA, the gain it was 200, now it comes to 20.

Detailed Explanation

In this explanation, the differential mode gain of the amplifier is examined. The decrease in gain from 200 to 20 indicates a significant reduction in the amplifier’s ability to enhance signal strength. The lower gain could be attributed to various factors like current reduction or changes in circuit parameters, affecting its overall efficiency and performance.

Examples & Analogies

Imagine a microphone that can amplify sound. If initially, it increases volume greatly (gain of 200), but in a later situation, it only manages a slight increase (gain of 20), it suggests issues with the microphone or speaker, leading to frustration as sounds are less clear.

Output Signal Distortion Risks

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So, indicating that this voltage probably it is quite low and it is alarmingly low and the gain here it is very small particularly the value of the g_m it is small and that is coming from the device it is almost in the, I should say towards the cutoff.

Detailed Explanation

This chunk reinforces the consequences of low voltage and gain, which can lead to signal distortion. Operating near the cutoff region means that the amplifier may not respond properly to input signals, leading to weakened or distorted output, which can impact overall circuit performance.

Examples & Analogies

Think of a speaker that isn’t plugged in fully. Sometimes, it barely produces sound or distorts it. When an amplifier is not functioning optimally, similar issues arise, leading to unclear outputs that don't reflect the initial input accurately.

Establishing the Maximum Input Common Mode Voltage

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Now, coming to differential amplifier realized by MOSFET ... to calculate the limit of this DC voltage where this transistor it is just entering to the saturation.

Detailed Explanation

In this section, the speaker discusses how to calculate the maximum value of the input common mode voltage required to keep the stability of the differential amplifier. By ensuring that the transistors operate within defined limits, the design can prevent them from entering saturation where they can malfunction. This approach allows for careful adjustments during the design phase of an amplifier.

Examples & Analogies

Think about keeping a car engine running smoothly. If the gas pedal (input voltage) is pressed too far (exceeding voltage limits), it could flood the engine (saturation). Balancing how much you can push ensures the car runs optimally, much like controlling voltage keeps the amplifier functioning effectively.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Common Mode Voltage: The voltage that is present at both input terminals, influencing the output swing of the amplifier.

  • Differential Mode Gain: Gain achieved by amplifying the difference between the two input signals.

  • Output Swing: The range within which the output signal can vary without distortion.

  • Transconductance (g_m): A key parameter that defines how much output current changes in response to a change in input voltage.

  • BJT vs. MOSFET: Understanding their different operation modes is critical for analyzing and applying differential amplifiers.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • In a BJT differential amplifier with a common mode voltage of 0.8V, the output swing is limited due to the drop across resistors.

  • In a MOSFET configuration, with a gate voltage of 4V and threshold voltage of 1V, the resulting output can be effectively analyzed for differential and common mode gains.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎡 Rhymes Time

  • When common mode's too high, output swing can die!

πŸ“– Fascinating Stories

  • Imagine a pair of singers (BJTs and MOSFETs) trying to harmonize; when one is too loud (high common mode), the beautiful music (output) becomes distorted.

🧠 Other Memory Gems

  • Remember 'G.A.N' for Gain, Active Components, and Noise, to cover the essentials of a differential amplifier.

🎯 Super Acronyms

O.P.E.N for Operating Point Evaluation Necessary.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Differential Amplifier

    Definition:

    An electronic amplifier that amplifies the difference between two input voltages.

  • Term: Common Mode Voltage

    Definition:

    The average voltage present at both inputs of a differential amplifier.

  • Term: Gain

    Definition:

    The ratio of output voltage to input voltage in an amplifier.

  • Term: Transconductance

    Definition:

    A measure of how effectively a transistor can control the output current through its input voltage.

  • Term: Operating Point

    Definition:

    The DC bias point of a transistor, determining its region of operation.

  • Term: Saturation

    Definition:

    A state in which a transistor is fully 'on,' with minimal voltage drop across it, leading to potential distortion.