Analog Electronic Circuits (79.1) - Differential Amplifier : Analysis and Numerical Examples (Contd.)
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Analog Electronic Circuits

Analog Electronic Circuits

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Interactive Audio Lesson

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Basic Concepts of Differential Amplifiers

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Teacher
Teacher Instructor

Today, we'll revisit the concept of differential amplifiers. Can anyone tell me the purpose of a differential amplifier?

Student 1
Student 1

It amplifies the difference between two input signals.

Teacher
Teacher Instructor

Exactly! And do you remember what we mean by differential mode gain?

Student 2
Student 2

Isn't it the gain that amplifies only the difference signal?

Teacher
Teacher Instructor

Correct! Remember, we denote this as A_d. Now, how does it compare to common mode gain, A_c?

Student 3
Student 3

A_c amplifies signals that are common to both inputs, right?

Teacher
Teacher Instructor

Absolutely! Let’s keep these definitions in mind as we move to examples. A simple mnemonic to remember is: Differential signals differ, while common signals are common!

Analyzing BJT Differential Amplifier

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Teacher
Teacher Instructor

Let’s begin analyzing a BJT differential amplifier. Can someone tell me what parameters we need for the DC operating point?

Student 2
Student 2

We need supply voltage, base voltage, and resistor values.

Teacher
Teacher Instructor

Correct! Using the given base voltage of 2.6V, how would we find the emitter voltage?

Student 4
Student 4

By subtracting the V_BE drop!

Teacher
Teacher Instructor

Great! For our example, with V_BE assumed at 0.6V, our emitter voltage will be 2V. Now, can anyone calculate the collector current?

Student 1
Student 1

If the tail resistor is 1kΩ, I think the current should be 2 mA!

Teacher
Teacher Instructor

Correct! That's 1 mA for each transistor. Remember, keep your load resistances in mind when calculating voltages across them!

Performance Metrics in Differential Amplifiers

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Teacher
Teacher Instructor

Now, let’s explore the input range and output swing. What is the significance of the output swing in amplifiers?

Student 3
Student 3

It indicates how much the output can vary without clipping.

Teacher
Teacher Instructor

Exactly! Remember that the stronger the swing, the more versatile the amplifier. What about the allowable range of the input voltage?

Student 4
Student 4

It should also be within the active region limits of the transistors.

Teacher
Teacher Instructor

Perfect! If we delve deeper, what happens if we go outside this range?

Student 2
Student 2

The transistors could enter saturation, affecting performance!

Teacher
Teacher Instructor

Absolutely! For our memory aid, think of 'Swing and Range' as a dance, only effective in the right space.

Exploring MOSFET Differential Amplifiers

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Teacher
Teacher Instructor

Moving on, let's also look at a differential amplifier using MOSFETs. How does it differ from a BJT differential amplifier?

Student 1
Student 1

MOSFETs typically have higher input impedance.

Teacher
Teacher Instructor

Exactly! Can you tell me about the benefits of using an active device as a tail resistor?

Student 2
Student 2

It can enhance performance by providing better biasing and stability.

Teacher
Teacher Instructor

Well said! And remember, a key takeaway is that using active devices can be seen as upgrading your performance standard. What’s a fun way to remember the difference between BJT and MOSFET?

Student 3
Student 3

Maybe 'BJT is current-controlled while MOSFET is voltage-controlled'?

Teacher
Teacher Instructor

Perfect! That aligns with our ideals. Keep these comparisons vivid!

Signal Propagation in Differential Amplifiers

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Teacher
Teacher Instructor

Lastly, how do signals propagate in our differential circuits? What roles do the differential and common mode signals play?

Student 4
Student 4

Differential signals create a contrast, while common signals introduce noise!

Teacher
Teacher Instructor

Exactly! A mnemonic to remember this contrast is 'Differential Drives Difference'! What happens in terms of amplification?

Student 1
Student 1

Differential signals get amplified more than the common mode signals.

Teacher
Teacher Instructor

Right on! This helps in signal integrity during amplification. Lastly, think of it as an orchestra where differential signals play the melody while common signals add background noise.

Introduction & Overview

Read summaries of the section's main ideas at different levels of detail.

Quick Overview

This section continues the discussion on differential amplifiers, focusing on analysis through numerical examples.

Standard

The lecture elaborates on differential amplifiers by examining examples using BJT and MOSFET while discussing essential parameters like DC operating points, small signal parameters, differential mode gain, and common mode gain.

Detailed

In this section of the Analog Electronic Circuits course, Professor Pradip Mandal discusses the detailed analysis of the differential amplifier, continuing from previous lectures by providing numerical examples. The focus is on differential amplifiers that utilize bipolar junction transistors (BJT) and metal-oxide-semiconductor field-effect transistors (MOSFET). Key concepts covered include the DC operating point, small signal parameters, differential mode gain, common mode gain, input range, and output swing. The discussion employs circuit analysis techniques to illustrate how differential and common mode signals interact within the circuits, along with their impact on performance. The section also explores enhancements through active components, drawing conclusions on the effective design criteria necessary for optimizing differential amplifier performance.

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Analog Electronic Circuits _ by Prof. Shanthi Pavan
Analog Electronic Circuits _ by Prof. Shanthi Pavan

Audio Book

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Introduction to Differential Amplifier

Chapter 1 of 11

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Chapter Content

So dear students, welcome back to our NPTEL online certification course on Analog Electronic Circuits. Myself Pradip Mandal from E and EC Department of IIT, Kharagpur. Today’s topic of discussion it is continuation of Differential Amplifier.

Detailed Explanation

In this introduction, the speaker is welcoming students back to a course on Analog Electronic Circuits. The focus is on discussing the differential amplifier, which is vital in analog electronics because it amplifies the difference between two input signals while rejecting any signals that are common to both inputs.

Examples & Analogies

Think of the differential amplifier as a judge in a debate who listens to two speakers and only considers the differences in their arguments while ignoring any common points they make. Just like the judge, the differential amplifier focuses solely on the differentiating signals.

Overview of the Topics Covered

Chapter 2 of 11

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Chapter Content

As I said that, the analysis part it is done in the previous 2 lectures, and we are going to talk about numerical examples, and we do have primarily differential amplifier using BJT then we do have differential amplifier using MOSFET and then also we do have another example where we do have the differential amplifier, we do have both types of transistor MOSFET as well as BJT.

Detailed Explanation

The speaker outlines the agenda for the session, indicating that they will cover numerical examples of differential amplifiers built with both Bipolar Junction Transistors (BJT) and Metal-Oxide-Semiconductor Field-Effect Transistors (MOSFET). This is essential for students as it provides practical applications of the theoretical concepts discussed in previous lectures.

Examples & Analogies

Imagine learning how to cook. After understanding the theory behind cooking techniques, the next step is to practice with different ingredients. Here, the different types of transistors (BJT and MOSFET) serve as the various ingredients that will be used to create successful meals (i.e., amplifiers).

Components of Differential Amplifier Analysis

Chapter 3 of 11

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Chapter Content

So, this differential amplifier having BJT’s it will be having different perspective; namely, the DC operating point and then small signal parameters, then differential mode gain, common mode gain and then going to the input range and output swing.

Detailed Explanation

The speaker highlights the critical aspects of analyzing a BJT-based differential amplifier. This includes determining the DC operating point, which defines the amplifier's idle state, analyzing small signal parameters that affect its performance, and calculating gains for both differential and common modes. Understanding the input range and output swing is also crucial for ensuring the amplifier operates effectively without distortion.

Examples & Analogies

Consider analyzing the performance of a car. You need to know how the car operates under normal conditions (DC operating point), understand its responsiveness to slight pressure on the gas pedal (small signal parameters), know the speed limits (input range), and comprehend how fast it can go without breaking down (output swing). Each of these factors is essential to determine the overall capability of the vehicle.

Circuit Setup and Analysis

Chapter 4 of 11

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Chapter Content

So we do have differential amplifier realized by BJT. So, this is the circuit we have discussed before and you may recall that in our most of our analysis we used to split this resistor R into two identical elements in parallel.

Detailed Explanation

The speaker refers to a specific BJT differential amplifier circuit, emphasizing that in previous analyses, resistors were split into two identical parallel parts. This splitting helps in understanding how common mode and differential signals can interact within the circuit, providing insights into the circuit's behavior under different input conditions.

Examples & Analogies

Think about how a balanced seesaw functions. If you have identical weights on either side, it stays level. Similarly, splitting the resistor helps analyze how the amplifier responds symmetrically to signals, akin to maintaining balance in weight distribution.

Determining DC Operating Point

Chapter 5 of 11

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Chapter Content

So, to start with, we do have this DC voltage given to us which is 2.6. In fact, this DC voltage should be sufficiently high, so that Q and Q should be in active region.

Detailed Explanation

The speaker discusses the importance of setting the correct DC voltage (2.6V) for the transistors (Q1 and Q2) to ensure they operate in their active region. This ensures that the transistors can effectively amplify signals without entering saturation, which could lead to distortion.

Examples & Analogies

Setting a comfortable temperature in a room thermostat ensures that the heating or cooling system works effectively. If the temperature (DC voltage) is too low or too high, the system might not function properly, similar to how transistors need proper voltage to amplify signals correctly.

Calculating Collector Current and Voltages

Chapter 6 of 11

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Now, if I consider V drop of 0.6, then we do have the emitter voltage DC wise it is BE(on) 2 V.

Detailed Explanation

After determining the DC voltage, the next step is to calculate the emitter voltage, which is affected by the base-emitter voltage drop (typically 0.6V for silicon transistors). This helps in assessing the overall voltage levels within the circuit, crucial for predicting how the circuit will perform.

Examples & Analogies

Imagine pouring water through a pipe with a drop in height; the water pressure (emitter voltage) at the bottom will depend on the height difference caused by an obstruction. Similarly, the voltage drop across the transistor influences the voltage levels at various nodes of the amplifier circuit.

Operating Point Summary

Chapter 7 of 11

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So, to summarize the DC operating point, we do have 2.6 V is the base voltage and then at the emitter. So here also, it is 2.6 V and at the emitter we do have 2 V. Then, voltage here it is 6.8 V and here also it is 6.8 V.

Detailed Explanation

The speaker summarizes key DC voltage values obtained during the analysis. These include the base voltage, emitter voltage, and collector voltage, which are critical for establishing the operating point of the transistors and ensuring they function correctly.

Examples & Analogies

When creating a budget for a project, you summarize all income and expenses to determine if you can afford it. Similarly, summarizing the operating points helps verify that the circuit will operate efficiently without issues.

Understanding Output Swing and Performance

Chapter 8 of 11

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Chapter Content

So now we obtain the output swing. So, we obtain operating point, we obtain the DC voltage; now, next thing is the small signal parameter of transistors.

Detailed Explanation

After establishing the operating points, the next focus is on evaluating the output swing and small signal parameters. The speaker indicates that understanding how the circuit will react to small variations in input (small signals) is vital for predicting its overall performance.

Examples & Analogies

It’s like testing a car's suspension by driving over bumps. You want to see how the car (circuit) responds to these small changes in terrain (input signals), ensuring that it maintains stability and comfort during the drive.

Calculating Gains

Chapter 9 of 11

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Chapter Content

So, the differential mode gain A = g R and this is equal to R it is 5.2 and g = and this is of course, it is kΩ.

Detailed Explanation

The conversation turns to calculating gains, specifically the differential mode gain (A) from the small signal parameters and load resistance values. These calculations are critical for determining the efficiency and effectiveness of the amplifier in real-world applications.

Examples & Analogies

Calculating gains in a circuit is similar to determining an athlete's performance. Just as you measure a runner's speed and distance covered to evaluate their performance, similar calculations in an amplifier determine how effectively it can amplify signals.

Distinguishing Differential and Common Mode Components

Chapter 10 of 11

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Chapter Content

So, we do have the common mode component and we do have the differential mode component here and we do have the differential mode gain and common mode gain.

Detailed Explanation

Differential and common mode signals are analyzed to understand their behavior within the amplifier. The speaker highlights the significance of calculating both types of gains to optimize the amplifier's performance while minimizing the effects of unwanted signals (common mode).

Examples & Analogies

Think of a good speaker at a concert. They focus on their unique voice (differential mode) while ignoring background noise (common mode). By enhancing their unique sound while dampening the noise, they can ensure their message is clear.

Signal Estimation Framework

Chapter 11 of 11

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Chapter Content

To get the individual signal first thing is that, we need to see what is the differential input, and then what is the common mode input...

Detailed Explanation

The process of estimating the output signals begins by differentiating between the differential and common mode inputs. The speaker explains how these components are handled to predict the overall output signals of the amplifier, emphasizing the methodology used in numerical examples.

Examples & Analogies

This is like assessing a class of students. You evaluate each student's unique strengths (differential inputs) while also considering the class's overall performance (common mode inputs) to effectively measure educational outcomes.

Key Concepts

  • DC Operating Point: The point of stable operation where the transistors are active.

  • Small Signal Parameters: Parameters that describe the behavior of a transistor when small signals are applied.

  • Differential Mode Gain: The gain provided to the differential input signal.

  • Common Mode Gain: The gain utilized for the common signals compounded on both inputs.

  • Output Swing: The allowable voltage range for output without distortion.

Examples & Applications

In a BJT differential amplifier, the base voltage is set at 2.6V, leading to an emitter voltage of 2V, with a collector current of 1 mA.

When analyzing a MOSFET differential amplifier, we noticed that the input impedance is higher compared to a BJT version.

Memory Aids

Interactive tools to help you remember key concepts

🎵

Rhymes

In the land of amps where signals twine, Differential gains will make them shine.

📖

Stories

Imagine a concert where only the differences in songs are played, while all similar tunes fall silent. Just like that, a differential amplifier highlights the differences in signals.

🧠

Memory Tools

Remember 'DCD' - Differential for Difference, Common for Coincidence, and the Amplifier for Both.

🎯

Acronyms

Think of 'DAC' - Differential Amplifier Circuit for all components in the system.

Flash Cards

Glossary

Differential Amplifier

An amplifier that amplifies the difference between two input signals.

Common Mode Gain (A_c)

The amplification of signals that are common to both inputs of an amplifier.

Differential Mode Gain (A_d)

The amplification specific to the difference between two input signals.

Input Range

The range of input voltages over which an amplifier operates linearly.

Output Swing

The range of output voltages an amplifier can produce without distortion.

BJT

Bipolar Junction Transistor, a type of transistor that uses both electron and hole charge carriers.

MOSFET

Metal-Oxide-Semiconductor Field-Effect Transistor, a type of transistor that is controlled by voltage.

Reference links

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