Multi-Transistor Amplifiers (Contd.): - 59.1.5 | 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.

Working of Common Source Amplifier

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0:00
Teacher
Teacher

Today, we are focusing on the common source amplifier. Can anyone tell me how this amplifier works?

Student 1
Student 1

I think it boosts the input voltage, right?

Teacher
Teacher

Exactly! It translates small input voltage variations into larger output voltage variations. For example, using parameters like transconductance, we can calculate the voltage gain. What happens to this gain if we consider the output resistance?

Student 2
Student 2

It would be multiplied by the output resistance, I guess?

Teacher
Teacher

Correct! Remember the formula: Voltage Gain (Av) = gm * RD. Here, gm is the transconductance and RD is the output resistance.

Calculating Upper Cutoff Frequencies

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0:00
Teacher
Teacher

Let's analyze the upper cutoff frequency for our common source amplifier. Can someone explain how we arrive at that?

Student 3
Student 3

We use the load capacitance in our calculations, right?

Teacher
Teacher

Absolutely! The upper cutoff frequency can be calculated as fU = 1/(2Ο€RC). Given our load capacitance of 100 pF and resistance of 3 kΞ©, who can do the math?

Student 4
Student 4

That gives us approximately 530 kHz!

Teacher
Teacher

Great job! That’s how you determine the frequency limits for your amplifier's response.

Cascading Stages for Enhanced Bandwidth

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Teacher
Teacher

Now let's talk about cascading where we join a common source stage with a common drain stage. Why do you think we do this?

Student 1
Student 1

To improve the bandwidth?

Teacher
Teacher

Exactly! The overall system gains from both stages and the bandwidth is significantly extended. What happens to our upper cutoff frequency in this situation?

Student 2
Student 2

It should be higher than each stage on its own, right?

Teacher
Teacher

Right! In our case, it extended to 4.24 MHz. Remember, synergy means gains can be more than the sum of individual parts.

Introduction & Overview

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

Quick Overview

This section discusses multi-transistor amplifiers, specifically focusing on common source amplifiers, and demonstrates numerical examples related to voltage gain and upper cutoff frequency.

Standard

The section elaborates on the working principles of common source amplifiers, exemplifying how to calculate important parameters like voltage gains and cutoff frequencies. It also introduces the concept of cascading stages to enhance bandwidth, emphasizing the practical applications of these amplifiers in electronic circuits.

Detailed

Multi-Transistor Amplifiers Overview

In this section of the chapter, we delve deeper into multi-transistor amplifiers, focusing on common source (CS) amplifiers and their cascading stage with common drain (CD) amplifiers. Starting with a recap of previously discussed numerical exercises, the teacher explains the parameters related to transistor operation, such as the transconductance, threshold voltage, and output resistance.

Key calculations are featured, including those for voltage gain and cutoff frequencies, highlighting a common source amplifier achieving a gain of 6 and an upper cutoff frequency of 530 kHz. Further, the section provides insight into cascading configurations that combine a common source amplifier with a common drain stage to enhance bandwidth, with an enhanced upper cutoff frequency of 4.24 MHz. These modifications demonstrate the practical benefits of employing multi-transistor designs in circuit applications, particularly in improving bandwidth while maintaining voltage gain.

Through several numerical examples and detailed calculations, the significance of proper biasing and understanding the relationships between different circuit components is emphasized. The session challenges students to explore similar configurations, reinforcing the learning objectives while establishing a robust understanding of multi-transistor amplifier circuits.

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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 Common Source Amplifier

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Welcome back after the short break. So, we are talking about the CE-CC and now we will be moving to MOS counterpart. In the next slide we will be talking about see common source amplifier again this numerical exercise we have seen before. So, this is prime and the main common source amplifier.

Detailed Explanation

This chunk introduces the topic of the common source amplifier, which is a crucial part of MOS transistor technology. The presenter reminds the audience of previous discussions on common emitter-common collector configurations before transitioning to discuss the common source amplifier, setting the foundation for a numerical example that follows. This implies that the attendees should have prior knowledge of amplifier configurations.

Examples & Analogies

Think of the common source amplifier as a speaker system in your home. Just like you adjust the volume to amplify the sound, the common source amplifier adjusts and boosts electrical signals for clarity and strength in electronic circuits.

Key Parameters of the Common Source Amplifier

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And, we have seen that using this information we obtain V = 3 V and then I we obtain it was 2 mA and then corresponding small signal parameter g it was 2 mA/V. So, the corresponding voltage gain; voltage gain it was g into output resistance and you may ignore the r or other r we may consider this is very high assuming Ξ» is very small.

Detailed Explanation

Here, we discuss crucial parameters obtained from the amplifier circuit, like the gate-source voltage (Vgs), drain-source current (Id), and transconductance (gm). The voltage gain of the amplifier is derived from multiplying gm by the output resistance. The mention of ignoring certain resistances simplifies the calculations under the assumption of ideal conditions, allowing focus on the main contributing factors to gain.

Examples & Analogies

Imagine your amplifier setup as a water pipe. The voltage (Vgs) is the pressure pushing water through the pipe, the current (Id) represents the flow of water, and the transconductance (gm) describes how much more flow (output) you can get for a given increase in pressure (input).

Calculation of Voltage Gain

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So, the voltage gain it was g R and so that becomes 2 m Γ— R is 3 k; 3 k. So, the corresponding voltage gain it was only 6.

Detailed Explanation

In this chunk, the calculated voltage gain is obtained by multiplying transconductance (gm = 2 mA/V) with the output resistance (Rd = 3 kΩ), resulting in a voltage gain of 6. This indicates the strength of the amplifier, showing that the output signal is 6 times greater than the input signal.

Examples & Analogies

Consider tuning a radio. When you turn the dial (input), the sound from the speaker (output) becomes 6 times louder. The radio circuit acts like the amplifier, enhancing the original sound signal significantly.

Understanding Output Resistance

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So, the corresponding output resistance for this case we see it is primarily defined by R and that is 3 kΩ. So, the upper cut off frequency for this case f it was into load capacitance of 100 pF.

Detailed Explanation

This section emphasizes that the output resistance is primarily defined by the resistor, here noted as Rd = 3 kΩ. Additionally, it introduces the concept of the upper cutoff frequency (fU), which is dependent on this resistance and the load capacitance, measured in picofarads (pF). Understanding these parameters is crucial for determining the frequency response of the amplifier.

Examples & Analogies

You can think of output resistance as the thickness of a garden hose. A thicker hose (higher resistance) allows water to flow without much back pressure. If the hose is too thin or has too many bends, it might restrict water flow (frequency response).

Calculating Upper Cutoff Frequency

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So, it was and then 3 k into this one 100 p; that means, 10β€’10 yeah. And in fact, if you calculate it this gives us 530 kHz.

Detailed Explanation

This segment covers the calculation of the upper cutoff frequency, which involves multiplying the output resistance by the load capacitance. The process leads to a calculated frequency of 530 kHz, indicating the highest frequency at which the amplifier can effectively operate before the gain begins to roll off.

Examples & Analogies

Imagine the upper cutoff frequency like the maximum speed limit on a highway. Beyond this speed (frequency), the vehicle (signal) cannot maintain its performance due to interference or restrictions (circuit limitations).

Conclusion of Common Source Amplifier

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So, 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 concluding statement about the common source amplifier, the overall gain of 6 and the upper cutoff frequency of 530 kHz are reiterated. The focus shifts towards cascading this stage with a common drain stage to enhance bandwidth, suggesting further exploration into advanced configurations for achieving better performance in electronic circuits.

Examples & Analogies

Think of this amplifier setup as a concert where the band performs at a consistent volume (gain of 6). Now, to make the concert experience even better, they would consider different arrangements (cascading with common drain stage) to ensure everyone enjoys the music without distortion (enhanced bandwidth).

Definitions & Key Concepts

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

Key Concepts

  • Common Source Amplifier: A transistor amplifier configuration that increases voltage based on the transconductance and output resistance.

  • Cascading Stages: The practice of connecting multiple amplifier stages to enhance overall performance, particularly bandwidth.

  • Upper Cutoff Frequency: The limit beyond which an amplifier's output significantly declines for higher frequencies.

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 a cutoff frequency of 530 kHz can effectively amplify signals for audio applications.

  • Cascading a common source stage with a common drain stage leads to an upper cutoff frequency increase to 4.24 MHz, suitable for RF applications.

Memory Aids

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

🎡 Rhymes Time

  • When gain's a quest, remember this test: Gm times RD, gives you the best!

πŸ“– Fascinating Stories

  • Imagine a gardener who wants taller plants. By combining two types of fertilizers, the plants grow better together, just like cascading amplifiers improve performance.

🧠 Other Memory Gems

  • G-RACE means Gain (Av) is related to Resistance (RD) and transconductance (gm).

🎯 Super Acronyms

GREAT

  • Gain Remains Excellent Across Transistor configurations.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Transconductance (gm)

    Definition:

    It measures the change in output current per change in input voltage, commonly associated with the performance of amplifiers.

  • Term: Upper Cutoff Frequency (fU)

    Definition:

    The highest frequency at which the amplifier operates efficiently before the output begins to significantly drop.

  • Term: Voltage Gain (Av)

    Definition:

    The ratio of output voltage to input voltage, indicating how much the amplifier amplifies the input signal.