Prof. Pradip Mandal - 87.1.1 | 87. Numerical examples on current mirror and its applications (Part-B) | 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.

Understanding Current Mirrors

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0:00
Teacher
Teacher

Today, we'll discuss current mirrors, which are crucial for providing stable reference currents in various electronic applications. Could anyone tell me why current mirrors are important?

Student 1
Student 1

They help maintain constant current despite voltage changes.

Teacher
Teacher

Exactly! This stability is essential for consistent performance in amplifiers. Let's dive into the concept of non-ideality factors, particularly the base current loss. Who can explain what that means?

Student 2
Student 2

It means that the actual current mirrored is less than the ideal due to the current drawn by the transistor's base.

Teacher
Teacher

Perfect! To improve this, we introduce cascode transistors. Does anyone know how that improves the output resistance?

Student 3
Student 3

They allow the output current to remain stable even when the output voltage changes.

Teacher
Teacher

Correct! Now, let's summarize. The main points were the definition of current mirrors, understanding non-ideality factors, and how cascode transistors enhance performance.

Numerical Examples and Calculations

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0:00
Teacher
Teacher

We will now explore numerical examples for both MOSFET and BJT current mirrors. Let's start with the MOSFET. What parameters are critical to supercharging our current mirror performance?

Student 1
Student 1

Gate voltage and aspect ratio!

Teacher
Teacher

That's right! The gate voltage needs to be sufficient to keep all transistors in saturation. Let's consider our 5V supply. Can someone assist in finding the required gate voltage?

Student 4
Student 4

We need to account for the drop across the bias resistor to determine it.

Teacher
Teacher

Exactly! And focusing on the calculations, we have a specific current, let's say 1 mA, which also affects the gate-source voltage. Let’s assume the specific equations we derived earlier.

Student 2
Student 2

So we identify the equation to relate these voltages?

Teacher
Teacher

Yes, the equation Vgs - Vth = Id/R. Here, Id is the drain current. Remember: 'Gate Less, desired voltage is less!' Now, summarizing today’s session, we discussed the importance of critical parameters and how to derive them using appropriate equations.

Comparison: MOSFET and BJT Current Mirrors

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0:00
Teacher
Teacher

Now, moving on to BJTs, who can help differentiate the key considerations when evaluating a BJT current mirror?

Student 3
Student 3

I believe the saturation voltage needs to be considered differently for BJTs.

Teacher
Teacher

Correct! What's that mean for our design?

Student 1
Student 1

We can estimate that the Vbe drop is approximately 0.6V.

Teacher
Teacher

Good! Knowing these voltage drops simplifies our calculations significantly. In groups, let’s try doing a quick exercise comparing the two methods side-by-side. Everyone gets a summary sheet to fill out!

Student 4
Student 4

Can we adapt our equations from MOSFET to BJT?

Teacher
Teacher

Absolutely! It helps reinforce what we know. Today we focused on BJTs, emphasizing voltage drop and focused calculations. Great work!

Applications of Current Mirrors

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0:00
Teacher
Teacher

Lastly, let’s talk about current mirrors as active loads in amplifiers. Which amplifiers benefit the most from current mirroring?

Student 2
Student 2

Common source and common emitter amplifiers!

Teacher
Teacher

Excellent! These configurations can greatly increase gain while maintaining stability. In these amplifiers, how do we involve current mirrors?

Student 3
Student 3

They set the bias for active loads, which improves performance.

Teacher
Teacher

Right! The active loads provided by current mirrors enhance input/output characteristics. Let’s recap the usage of current mirrors in amplifiers. Remember, 'Current controlling, stability rolling!'

Introduction & Overview

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

Quick Overview

This section discusses current mirror circuits, focusing on numerical examples involving MOSFET and BJT configurations, highlighting their design and performance improvements.

Standard

The section elaborates on the design and analysis of current mirror circuits using numerical examples, emphasizing the improvements made through cascode transistor configurations to enhance output resistance and reduce sensitivity to voltage variations in both MOSFET and BJT versions. Practical applications in amplifiers are also outlined.

Detailed

Detailed Summary

This section by Prof. Pradip Mandal covers numerical examples of current mirror circuits, particularly emphasizing their enhancements using cascode transistors.

Key Points Covered:

  • Introduction to Current Mirrors: The concept of current mirrors as essential building blocks in analog circuits is discussed, particularly in generating reference currents.
  • MOSFET Configuration: The analysis of a MOSFET current mirror is initiated, outlining how base current loss affects non-ideality. A cascode structure is introduced to improve performance by boosting output resistance, which, in turn, minimizes the current's dependency on output voltage variations.
  • Numerical Example Illustrated: In-depth numerical computations are provided, including the critical parameters like gate voltage, bias resistor values, and current calculations based on given supply voltage and transistor characteristics.
  • BJT Configuration: Similar principles and calculations are extended to BJT current mirror configurations, building upon the MOSFET example to contrast the results and insights drawn.
  • Applications in Amplifiers: The current mirrors are integrated into practical applications, showcasing their role as active loads in common source and common emitter amplifiers, demonstrating their impact on voltage gain and output resistance.

This chapter serves as a foundational reference for understanding the design and application of current mirror circuits in analog electronics.

Youtube Videos

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

Audio Book

Dive deep into the subject with an immersive audiobook experience.

Introduction to Current Mirror

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So dear students welcome back after the break. So, before the break we are talking about the numerical examples of the current mirror... the main current mirror it is constructed by M1 and M2.

Detailed Explanation

In this introduction, the speaker welcomes students back and recaps the previous topic on numerical examples of the current mirror. The current mirror circuit is essential in electronics for duplicating reference current. The basic construction involves two transistors (denoted as M1 and M2) that help to replicate the current flowing through the reference transistor. Details about further developments, such as incorporating a cascode transistor (M3) to enhance circuit performance, are also outlined.

Examples & Analogies

Think of a current mirror as a copy machine that takes a reference document (the current) and produces an exact copy. Just like a copier might improve the quality of a document in certain settings, adding more transistors to the current mirror helps improve its operation by handling more complex electrical situations.

Impact of Cascode Transistor

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To be more precise, we like to place one cascode transistor here and that improves the output resistance of the current mirror.

Detailed Explanation

The addition of a cascode transistor in the current mirror circuit is a critical change. The cascode transistor helps to increase the output resistance of the current mirror. This change is essential because it makes the current mirror more stable and less sensitive to variations in supply voltage or load conditions, which helps produce a more consistent output current regardless of changes that might occur in other parts of the circuit.

Examples & Analogies

Imagine a high-quality printing press that produces better prints compared to a standard printer. Here, the printing press represents the cascode transistor, which enhances the overall output quality (stability and reliability of current) in varying conditions, similar to how a good press improves print quality despite the paper type or ink used.

Details of Transistor Specifications

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Now coming to the different sizes of different transistors given here, we do have for transistor-1, we do have it is 1 mA/V2. On the other hand for transistor-2 and transistor-3, we do have = 4 mA/V2.

Detailed Explanation

In this section, the characteristics of the transistors used in the circuit are specified, including their transconductance values. Transistor-1 has a lower transconductance (1 mA/VΒ²) compared to transistors-2 and -3 (4 mA/VΒ²). These specifications are crucial as they determine how effectively each transistor can amplify current, influencing the overall performance of the current mirror setup. Keeping other performance parameters like threshold voltage consistent simplifies calculations, showcasing the importance of these attributes in real-world applications.

Examples & Analogies

Think of different types of amplifiers: one is a small, portable speaker (transistor-1) that has decent sound quality (1 mA/VΒ²), while the others are large concert speakers (transistor-2 and -3) that can produce powerful sound (4 mA/VΒ²). Each has its role depending on the context, emphasizing how specifications affect performance in practical terms.

Finding Required Voltages

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Now we need to find the value of this V_GS1 and the current flowing here from whatever the voltage 12 V it is given to us and then R_BIAS is given there.

Detailed Explanation

This segment dives into the calculations needed to find specific voltages in the circuit, starting from a given supply voltage (12 V). The goal is to use voltage drop calculations through resistors to find the gate-source voltage (V_GS1) needed for proper transistor operation. By manipulating known variables such as current and bias resistor values, the required gate voltage is computed. This represents a practical approach in circuit design to ensure that all components function correctly under specified conditions.

Examples & Analogies

Imagine setting up a sprinkler system in your garden. The water pressure (supply voltage) needs to be just right for the system to work effectively. If the pressure is too low, the sprinkler won't function properly, similar to how the right gate voltage must be determined to ensure that the transistors operate as intended.

Calculating Small Signal Output Resistance

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So, we need to find what will be the small signal output resistance. And R_out = g_m3*r_o3+r_o2.

Detailed Explanation

In this part, the speaker discusses how to calculate the small signal output resistance of the circuit, a critical parameter to evaluate the performance of the current mirror. The formula provided combines both the transconductance and output resistance of the transistors involved, reflecting how they interact to affect the overall resistance seen at the output. This calculation is vital for understanding how changes in current and voltage will influence the output and ensuring that the current mirror can operate effectively over a range of conditions.

Examples & Analogies

Consider a long water pipe with taps (the transistors). The smaller the diameter of the pipe (higher output resistance), the less water can flow out despite the pressure (voltage) applied. Knowing the characteristics of the pipe and inclination helps predict water flow at various taps just as knowing small signal output resistance helps predict current behavior in your circuit.

Definitions & Key Concepts

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

Key Concepts

  • Current Mirror: A circuit to replicate a current across its terminals.

  • Cascode Configuration: A method to enhance output resistance in current mirrors.

  • Output Resistance: Important for the performance of current mirrors, impacting stability.

  • Bias Voltage: Essential for ensuring transistors operate in the desired region.

Examples & Real-Life Applications

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

Examples

  • MOSFET current mirror calculation utilizing specific voltage drops and bias resistors.

  • Comparison of BJT and MOSFET configurations in implementing current mirrors.

Memory Aids

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

🎡 Rhymes Time

  • In current mirrors, copies are made, with cascode design that won't fade.

πŸ“– Fascinating Stories

  • Imagine a mirror reflecting a steady breeze; in circuits, current mirrors do just as you’d please, showing identical flows that ensure no one's at ease.

🧠 Other Memory Gems

  • Remember: C.R.O.W. helps - for Current, Resistance, Output, and Voltage; the essentials for current mirror.

🎯 Super Acronyms

C.A.S.C.O.D.E.

  • Current Amplification through Series Connection for Output Dynamic Efficiency.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Current Mirror

    Definition:

    An electronic circuit that produces a copy of a current, typically used in analog circuits to provide stable reference currents.

  • Term: Base Current Loss

    Definition:

    The reduction in output current in a transistor due to the current drawn by its base.

  • Term: Output Resistance

    Definition:

    A measure of the resistance faced by the output current of a current mirror, influencing its performance.

  • Term: Cascode Transistor

    Definition:

    A transistor configuration that improves the voltage gain and output resistance of a circuit.

  • Term: Transconductance

    Definition:

    A measure of how effectively a transistor can control the output current with respect to the input voltage.