Bandwidth Extension - 59.3.4 | 59. Multi-Transistor Amplifiers (Contd.): Numerical Examples (Part B) | Analog Electronic Circuits - Vol 3
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Interactive Audio Lesson

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

Introduction to Common Source Amplifiers

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0:00
Teacher
Teacher

Today, we will begin by discussing Common Source (CS) amplifiers. Can anyone tell me what the primary function of a CS amplifier is?

Student 1
Student 1

Isn't it to amplify weak signals?

Teacher
Teacher

Absolutely! The CS amplifier is designed to amplify small input signals to larger output signals. What do we understand about its gain?

Student 2
Student 2

I think the gain can be calculated using the small-signal parameters!

Teacher
Teacher

Correct! For our amplifier, we calculated the voltage gain Av to be 6. Remember, this is defined as the ratio of output voltage to input voltage. How does this gain affect bandwidth?

Student 3
Student 3

More gain might mean less bandwidth?

Teacher
Teacher

That's right! There is a trade-off known as the gain-bandwidth product. Let's summarize: For a CS amplifier, we achieve a gain of 6 which correlates to a certain bandwidth.

Understanding Bandwidth and Common Drain Stages

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Teacher
Teacher

Next, let's explore how we can enhance the bandwidth of our amplifier using a Common Drain (CD) stage. Why do you think it is necessary to extend the bandwidth?

Student 4
Student 4

To accommodate a wider range of frequencies?

Teacher
Teacher

Exactly! Now, when we cascade the Common Source with a Common Drain stage, we maintain the gain but increase the upper cutoff frequency significantly. Can anyone guess what the new upper cutoff frequency will be?

Student 1
Student 1

Aren't we looking at a value of about 4.24 MHz?

Teacher
Teacher

Precisely! This illustrates the benefit of cascading. We initially had a CS amplifier with fU of 530 kHz, and by adding the CD stage, we've improved it to 4.24 MHz. Great job! Let's recap: The gain remains at 6, and the bandwidth is significantly enhanced.

Numerical Examples and Calculations

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0:00
Teacher
Teacher

Now, let’s dive into some numerical examples! Can anyone recall how we determined the output resistance in the CS stage?

Student 2
Student 2

We used the load resistance to determine the output resistance.

Teacher
Teacher

Exactly! In our case, we worked with an output resistance of 3 kΩ. What about frequency calculations? How did we arrive at the cutoff frequency?

Student 4
Student 4

We multiplied the resistance by the load capacitance and applied the cutoff frequency formula!

Teacher
Teacher

Correct! By applying the formula for upper cutoff frequency, we managed to arrive at 530 kHz. Let’s calculate the new cutoff frequency using the values from our CD stage. What do we get?

Student 3
Student 3

It results in 10.6 MHz, but we will consider the lower frequency resulting from the CD stage as the final cutoff of 4.24 MHz.

Teacher
Teacher

Great understanding! So, to summarize, we tackled output resistance calculations and frequency definitions in both stages.

Practical Implications and Applications

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0:00
Teacher
Teacher

Finally, let’s discuss practical implications of our findings. Why would an engineer choose to cascade a CS with a CD stage in real applications?

Student 1
Student 1

It would be to get both the gain and an extended bandwidth.

Student 2
Student 2

Yes, and it also helps with input resistance by using a CC stage in front!

Teacher
Teacher

Absolutely! Cascading utilizes individual amplifier benefits for broader application scope. Remember these principles for your upcoming projects. Any final thoughts?

Student 3
Student 3

I see how this can apply to audio equipment!

Teacher
Teacher

Exactly! High-bandwidth amplifiers like this are crucial in communication systems. Great work everyone!

Introduction & Overview

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

Quick Overview

This section explores the techniques used to enhance the bandwidth of amplifiers by cascading Common Source and Common Drain stages.

Standard

The section discusses the operational aspects of a Common Source (CS) amplifier and its bandwidth limitations. It then introduces the Common Drain (CD) stage as a means to extend the bandwidth, illustrated through numerical examples showcasing the calculations of voltage gain and upper cutoff frequency.

Detailed

Bandwidth Extension

In this section, we analyze the bandwidth enhancement techniques in analog electronic circuits by focusing on common source (CS) and common drain (CD) amplifiers. Initially, we discuss a CS amplifier's characteristics, including its gain and cutoff frequency. The specific CS amplifier discussed has a provided voltage gain (Av) of 6 and a cutoff frequency (fU) of 530 kHz.

Next, we transition to introducing the CD stage, explaining how cascading it with the CS stage helps in achieving better performance. By using specific numerical values, the section highlights the DC voltage and current calculations needed for the CD stage, illustrating how the overall gain remains at 6 while significantly increasing the upper cutoff frequency to 4.24 MHz. Throughout the discussion, the exact process of finding operating points and the essential equations for voltage gain and output resistance are elaborated, showing how their arrangement allows for greater bandwidth.

The section wraps up by indicating the practical implications of cascading these amplifier types and the numerical results' significance based on theoretical foundations.

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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 Bandwidth Extension

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The common source amplifier it is primarily it is having a gain of 6 and then upper cut off frequencies 530 kHz, we are not going to calculate the lower cut off frequency primarily because our intention here is to see the enhancement of the bandwidth by the use of common drain stage.

Detailed Explanation

In this segment, we introduce the basics of bandwidth extensions through the use of a common source amplifier. A common source amplifier is given a certain voltage gain and an upper cut-off frequency, which determines how high a frequency signal it can effectively amplify. Here, the gain is 6 and the upper cut-off frequency is 530 kHz. The focus of this discussion shifts towards enhancing this bandwidth by incorporating a common drain stage. This means we intend to find ways to increase the frequency response of the amplifier, allowing it to handle higher frequency signals more effectively.

Examples & Analogies

Imagine you have a water pipe that comfortably carries a certain amount of water (signal) until it reaches a blockage (cut-off frequency). If you add an auxiliary pipe that allows more water to flow around the blockage (common drain stage), you'll increase the total water flow capacity and the system can handle a higher flow rate (bandwidth).

Cascading Common Source and Common Drain Stages

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Now, if I call it is fβ€² it is having 2 candidates to define the upper cut off frequency; one is R . So, this is 2Ο€R and the corresponding load capacitance we do have C . So, if we connect the C here. So, then the upper cut-off frequency it is and yes I do have calculation here, it is 4.24 MHz.

Detailed Explanation

This chunk discusses how cascading the common source (CS) amplifier with the common drain (CD) stage leads to an enhanced upper cut-off frequency. The upper cut-off frequency can be defined in two ways: based on the resistance and the load capacitance connected. The calculations ultimately reveal that this new frequency, fβ€², is 4.24 MHz, which is significantly higher than the initial cut-off frequency of 530 kHz from just the common source stage. This highlights the effectiveness of combining these stages in amplifier design.

Examples & Analogies

Think of bandwidth like a highway: one lane may be enough to handle regular traffic, but adding an additional lane (common drain stage) allows for much higher speeds and more vehicles (signals) to travel smoothly, thus expanding the capacity or 'bandwidth' of the road.

Comparison of Upper Cut-off Frequencies

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Now, if I compared these two poles together of course, this is lower. So, the net upper cutoff frequency it is four point, so 4.24 MHz. So, here also the same conclusion it is namely originally the CS common source amplifier it was having a gain of 6 and then it was having a; it was having the upper cutoff frequency it was 580 kHz. Now, we are by the virtue of the common drain stage along with the CS.

Detailed Explanation

In this explanation, we compare the original common source amplifier cut-off frequency (580 kHz) and the newly calculated cut-off frequency after adding the common drain stage (4.24 MHz). The findings assert that while the gain from the common source amplifier remained unchanged at 6, the bandwidth has been significantly enhanced. This comparison solidifies the importance of cascading stages in increasing both gain and bandwidth without compromising performance.

Examples & Analogies

Imagine trying to run a marathon (amplifying a signal). If you train by running short distances, you may only build up to a certain pace (cut-off frequency). But if you start including interval training (adding a common drain stage), you can not only maintain your pace but actually pull ahead, leading to an improved overall performance and finishing time (enhanced bandwidth).

Final Considerations for Bandwidth Enhancement

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So, this exercise we have done before. So, probably you can calculate what is its voltage gain and the upper cutoff frequency. And then you can compare this with the cell biased CE amplifier sorry cell biased CE amplifier along with say CC stage.

Detailed Explanation

This final topic suggests practical exercises to solidify understanding. Students are encouraged to calculate the voltage gain and upper cut-off frequency of a cell-biased common emitter (CE) amplifier and then compare the results with the combined common collector (CC) stage. This analytical approach fosters hands-on learning, allowing students to see theoretical concepts in action.

Examples & Analogies

Think of this tutorial like a cooking class. Each recipe represents a different amplifier configuration. By trying to make your dish (calculate voltage gain and frequency) and then comparing it to a colleague's dish (comparing amplifier types), you’ll enhance your culinary skills (amplifier design understanding) through practice and analysis.

Definitions & Key Concepts

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

Key Concepts

  • Common Source Amplifier: Used for high voltage gain.

  • Common Drain Amplifier: Provides impedance matching and bandwidth extension.

  • Upper Cutoff Frequency: Frequency where gain starts to drop significantly.

  • Gain-Bandwidth Trade-off: Relationship between gain and bandwidth performance.

Examples & Real-Life Applications

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

Examples

  • A common source amplifier with a gain of 6 and an upper cutoff frequency of 530 kHz, illustrating how bandwidth is determined by respective load resistance and capacitance.

  • Cascading a common drain stage allows the same gain while extending the upper cutoff frequency up to 4.24 MHz.

Memory Aids

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

🎡 Rhymes Time

  • CS for gain, CD to keep it plain and leveled – extend that bandwidth without trouble!

πŸ“– Fascinating Stories

  • Imagine a signal journey: it starts small in the CS hills, gets boosted, and flows into the CD valley, going further with speed and clarity.

🧠 Other Memory Gems

  • CS stands for 'Current Source', while CD means 'Current Drain' – keep them in mind for amps to gain!

🎯 Super Acronyms

GBC – Gain Bandwidth Constant; remember, as gain increases, bandwidth decreases!

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Common Source Amplifier

    Definition:

    An amplifier configuration that provides high voltage gain and is often used to amplify small signals.

  • Term: Common Drain Amplifier

    Definition:

    Also known as source follower, it provides impedance matching and improves bandwidth while maintaining gain.

  • Term: Upper Cutoff Frequency

    Definition:

    The frequency at which the gain of an amplifier starts to decrease significantly.

  • Term: GainBandwidth Product

    Definition:

    A constant for a given amplifier, representing the trade-off between gain and bandwidth.

  • Term: Biasing

    Definition:

    The process of setting a DC operating voltage or current for active devices like transistors.