Analysing Gain - 85.2.4 | 85. Usage of current mirror (Part-C) | Analog Electronic Circuits - Vol 4
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Interactive Audio Lesson

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

Introduction to Differential Amplifiers with BJTs

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Teacher
Teacher

Today, let's start by understanding what a differential amplifier is. A differential amplifier takes two input signals and amplifies the difference between them. Can anyone tell me which components we often use in these setups?

Student 1
Student 1

BJTs are often used in differential amplifiers, right?

Teacher
Teacher

Exactly! BJTs are commonly employed due to their excellent performance characteristics. Now, can someone explain why we need a tail current in such circuits?

Student 2
Student 2

The tail current is necessary to set a stable operating point for the transistors.

Teacher
Teacher

Correct! The tail current stabilizes the output and affects the amplifier's gain. Now, remember AC current can mirror DC signals via current mirrors, which we will explore next.

Understanding Current Mirrors

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Teacher
Teacher

Let's discuss current mirrors. They are crucial in providing a stable bias current. Who can describe how a current mirror is constructed?

Student 3
Student 3

A current mirror typically consists of two matched transistors. One is connected to the reference current, and the other mirrors that reference.

Teacher
Teacher

Perfect! This configuration ensures that we have consistent currents flowing through our amplifiers. Why do we prefer current mirrors over resistors for tail currents?

Student 4
Student 4

Using current mirrors allows for better linearity and improved gain margins.

Teacher
Teacher

Exactly! Remember, this design allows us to replace passive loads, maintaining high performance, which we'll analyze further next.

Active Loads vs Passive Loads

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Teacher
Teacher

Now that we understand current mirrors, let's compare active and passive loads. Can anyone explain the differences in performance?

Student 1
Student 1

Active loads generally offer higher gain compared to passive loads.

Teacher
Teacher

Correct! Active loads enhance gain but what about their limitation?

Student 2
Student 2

Active loads can increase common mode gain, but they also improve differential mode gain simultaneously.

Teacher
Teacher

Well said! Balancing these gains is vital for good amplifier design, and that’s why we analyze them closely in our small signal models.

Gain Calculations and Analysis

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Teacher
Teacher

Let’s calculate the differential mode gain using our setup. Who can define it for our circuit?

Student 3
Student 3

The differential mode gain can be expressed as the ratio of the output voltage to the differential input voltage.

Teacher
Teacher

Absolutely! The formula yields interesting results especially with current mirrors included. Which component significantly affects this gain?

Student 4
Student 4

The output resistance increases when using active loads, boosting the gain.

Teacher
Teacher

Great observation! Remember, analyzing small signal models helps us derive common and differential mode gains effectively.

Introduction & Overview

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

Quick Overview

This section focuses on the analysis of differential amplifiers utilizing BJTs and MOSFETs while highlighting the role of current mirrors in setting tail currents.

Standard

The section provides an in-depth examination of differential amplifiers constructed with BJTs, emphasizing the use of current mirrors as tail current sources. It discusses the importance of replacing passive loads with active loads, the implications for differential and common mode gain, and how these configurations can be utilized in circuit design.

Detailed

Detailed Summary

In this section, we delve into the construction and analysis of a differential amplifier using Bipolar Junction Transistors (BJTs), particularly focusing on the usage of current mirrors to establish stable tail currents. The integration of active loads in place of passive resistors is explored, comparing the benefits of higher gain and enhanced performance metrics, such as common mode rejection ratios.

Key Points Covered:

  • Tail Current Establishment with Current Mirrors: The tail current is set using a current mirror comprised of transistors that ensures stability and efficiency in the differential amplifier design.
  • Active vs. Passive Loads: Replacing passive load resistors with active components allows for improved gain characteristics without significant drawbacks in the common mode gain, ultimately enhancing the continuity of the output signals.
  • Mathematical Models: Through small signal models, the differential and common mode gains can be derived, showcasing the advantageous characteristics of the active load approach.
  • Differential Mode Gain Analysis: The relationship between differential mode gain and the overall function of the amplifier is examined, with specific attention paid to the enhanced gains obtainable with the current mirror configurations.

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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 Amplifiers

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So, we are talking about the differential amplifier particularly constructed by MOSFET. Now we are going to see the differential amplifier using BJT, where we will be deploying the current mirror, corresponding current mirror using BJT and will see the similar kind of situation there.

Detailed Explanation

In this chunk, we are introduced to the concept of differential amplifiers. A differential amplifier is designed to amplify the difference between two input signals. Here, the discussion extends from MOSFET-based differential amplifiers to BJTs (Bipolar Junction Transistors). This sets the stage for exploring how current mirrors can be utilized in these configurations.

Examples & Analogies

Think of a differential amplifier like a judge in a competition, who has to decide which participant performed better despite distractions. The judge listens to both participants, weighing their strengths or weaknesses against each other, much like how the differential amplifier compares and amplifies the difference between two signals.

Reference Current and Tail Current Analysis

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In fact, similar to the previous case, you can see that this is the current mirror circuit which is helping us to set the tail current here. Now in this case the reference current I_REF is coming from V_CC. And this reference current based on the reverse saturation current ratio of transistor-3 and transistor-4, we do get current here which is I_C3 = (Ξ²) Γ— I_REF multiplied by two nonideality factors.

Detailed Explanation

This chunk explains how the tail current in the differential amplifier circuit is established using a current mirror. The reference current, denoted as I_REF, is generated from the supply voltage V_CC. The relationship between transistors allows for the calculation of the tail current, noting the potential influence of nonideality factors such as base current gain (Ξ²) and other losses.

Examples & Analogies

Imagine a water fountain, where the main water source is the reference current, and the fountain's spray (tail current) lives off this source. The design determines how effectively the fountain (the amplifier) uses the water to create mesmerizing patterns (the amplified signals), influenced by factors like pipe diameter and configurations (which represent nonideality factors).

Active Load vs Passive Load

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Now similar to the previous case, this part can also be replaced by active load and that load current of course, should be consistent with whatever the current we do have flowing through transistor-3.

Detailed Explanation

In this segment, the emphasis is on the comparison between active and passive loads in differential amplifiers. Active loads are often more advantageous because they can provide higher gain and better performance than passive ones. The consistency of load current with the tail current is crucial for the amplifier's effective operation.

Examples & Analogies

Consider a person lifting weights in a gym. If they use weights (passive load), they might tire out quickly. However, if the gym installs a pulley system that assists in lifting (active load), the lifter can manage heavier weights with ease. This analogy highlights the benefit of using an active mechanism in amplifiers to enhance performance.

Small Signal Equivalent Circuit Analysis

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Again similar to the previous case here if you analyse we can find the common mode gain. And that can be well approximated by differential mode gain.

Detailed Explanation

This section focuses on analyzing the small-signal equivalent circuit of the differential amplifier. It is crucial to understand how to derive the common mode gain from the small-signal analysis, as it provides insights into how well the amplifier can differentiate between signals of interest and noise or common signals.

Examples & Analogies

Imagine a radio station trying to pick up a specific frequency while drowning out background static. The process of tuning the radio to isolate the desired frequency parallels how a differential amplifier uses small-signal analysis to enhance the quality of the output signal, removing unwanted noise.

Differential Mode Gain Examination

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In comparison with this modified gain, if you recall the previous circuit; differential mode gain it was g_m Γ— (R_D || r_o1). So, definitely this is having much higher gain.

Detailed Explanation

Here, we discuss the differential mode gain, which is the gain when the amplifier processes differential signals. By comparing previous configurations, the text notes that using an active load significantly enhances this gain. This is important because a higher gain means the amplifier is more sensitive and effective in processing input signals.

Examples & Analogies

Think of a microphone. A high-quality microphone (active load) amplifies soft sounds much more effectively than a basic one (passive load), allowing a subtle whisper to be heard clearly. In a similar way, increasing the differential mode gain enables the amplifier to detect and amplify smaller differences in input signals.

Definitions & Key Concepts

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

Key Concepts

  • Current Mirror: A vital circuit element that stabilizes tail current in differential amplifiers.

  • Differential Mode Gain: The output signal's amplification relative to the difference in input signals.

  • Common Mode Rejection Ratio: A measure of an amplifier's ability to reject common mode signals while amplifying differential signals.

  • Active Load: Component design that enhances the voltage gain in amplifier circuits.

Examples & Real-Life Applications

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

Examples

  • A differential amplifier using two BJTs to amplify the voltage difference between two inputs, utilizing a current mirror for stable tail bias.

  • Replacing a resistor in the circuit with a current mirror improves gain and stability for small signal variations.

Memory Aids

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

🎡 Rhymes Time

  • Current mirrors do reflect, stable currents they protect.

πŸ“– Fascinating Stories

  • Imagine a team of synchronized swimmers, each one reflecting the movements of the leader. Like current mirrors, they keep their moves in perfect sync to form a cohesive performance.

🧠 Other Memory Gems

  • A.B.C. (Active Beats Current) to remember that active loads outperform passive loads in amplifiers.

🎯 Super Acronyms

D.A.C. (Differential Amplifier Configuration) to recall the major components and their relationships in differential amplifiers.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Current Mirror

    Definition:

    A circuit configuration that allows a current to be copied from one branch of a circuit to another, enabling consistent biasing.

  • Term: Differential Amplifier

    Definition:

    An amplifier that amplifies the difference between two input voltages while rejecting any common voltage.

  • Term: Active Load

    Definition:

    A load that consists of active components designed to increase the gain in amplifiers.

  • Term: Passive Load

    Definition:

    A load using passive components like resistors that do not provide power gain.

  • Term: Small Signal Model

    Definition:

    A simplified version of a circuit that linearizes non-linear components for analysis at small signal levels.