Recapitulation of Previous Numerical Example - 58.1.4 | 58. Multi-Transistor Amplifiers (Contd.): Numerical Examples (Part A) | 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.

Understanding the Common Emitter Amplifier

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Teacher
Teacher

Alright class, let's start by reviewing the common emitter amplifier configuration. Can anyone tell me what makes the CE amplifier special?

Student 1
Student 1

It has a high voltage gain?

Teacher
Teacher

Exactly! The CE amplifier is known for its high voltage gain, which is primarily determined by the transistor's beta value. Now, if we have a beta of 100 and a collector current of 2 mA, what would our base current be?

Student 2
Student 2

It would be 20 Β΅A!

Teacher
Teacher

Spot on! Remember, beta is the ratio of collector current to base current. Let's write this down as a memory aid: **'Beta Bites' - Beta = Ic/Ib.**

Calculating Small Signal Parameters

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Teacher
Teacher

Now that we have the base current, can anyone tell me how to calculate the small signal parameters such as gm?

Student 3
Student 3

Isn't gm calculated using the formula gm = Ic/Vt, where Vt is the thermal voltage?

Teacher
Teacher

That's correct! If we take Vt to be approximately 25 mV at room temperature and Ic is 2 mA, what would gm be?

Student 4
Student 4

That would be about 80 mS.

Teacher
Teacher

Great job! So keep in mind the acronym **'Gimme m'** for small signal transconductance. Let's move to the voltage gain equation next.

Exploring Bandwidth and Cut-off Frequencies

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Teacher
Teacher

Continuing on, has anyone calculated the upper cutoff frequency using the values given for capacitance and resistance?

Student 1
Student 1

Yes! Using f = 1/(2Ο€RC), I found it to be about 513 kHz.

Teacher
Teacher

Excellent! Now, if we add a CC stage, how do you think that would affect the bandwidth?

Student 2
Student 2

It should increase the bandwidth because a CC stage has a lower output impedance.

Teacher
Teacher

Correct! Remember, the mnemonic **'CC for Continuous Clarity'** to understand how it helps maintain higher performance in terms of bandwidth.

Final Review of Configuration Effects

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Teacher
Teacher

As a review, can we summarize the key points we've learned about the integration of various amplifier configurations?

Student 3
Student 3

The CE amplifier gives us high gain but limited bandwidth, while the CC stage helps enhance the bandwidth.

Student 4
Student 4

And we saw how the output impedance and input resistance play crucial roles in design.

Teacher
Teacher

Exactly! To remember the relation between gain and bandwidth, use **'Amplify and Extend'**. Excellent work today, everyone!

Introduction & Overview

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

Quick Overview

This section reviews a previously discussed numerical example related to multi-transistor amplifiers, focusing on common emitter (CE) and common collector (CC) configurations to enhance performance.

Standard

In this section, essential calculations involving a common emitter (CE) amplifier and its impact on performance metrics such as gain and bandwidth are recapped. The transition to a common collector (CC) stage demonstrates how input resistance and bandwidth can be optimized.

Detailed

Recapitulation of Previous Numerical Example

In this section, we revisit a numerical example related to multi-transistor amplifiers, specifically focusing on the common emitter (CE) and common collector (CC) configurations. The discussion begins with the theoretical underpinnings of these amplifiers, transitioning into detailed numerical calculations to determine various parameters including operating point, small signal parameters, overall gain, and bandwidth enhancement. The initial example illustrates the performance of a CE amplifier, highlighting its voltage gain of approximately 238 and upper cutoff frequency reaching 513 kHz. Subsequently, the integration of the CC stage demonstrates a significant extension in bandwidth up to 10 MHz. Additionally, we assess the impact of this configuration on input resistance and gain. The section emphasizes both theoretical insights and practical applications, laying the groundwork for a deeper understanding of multi-transistor amplifier design.

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Analog Electronic Circuits _ by Prof. Shanthi Pavan
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Overview of the Numerical Example

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So, here again the same summary here the concepts we already have covered particularly the theoretical aspects of mixing different configurations are covered. And, we are going to discuss about numerical examples of particularly for CE followed by CC common collector stage to enhance the bandwidth of the amplifier and. So, similarly for MOS counterpart common source followed by common drain, it gives the enhancement of the bandwidth.

Detailed Explanation

This chunk summarizes the focus of the section, which is the application of theoretical knowledge of different transistor configurations, particularly the Common Emitter (CE) followed by Common Collector (CC) to enhance the amplifier's bandwidth. Also mentioned is the importance of MOS configurations that parallel these enhancements.

Examples & Analogies

Think of an amplifier like a water pipe. The different configurations (like CE and CC) can be thought of as different widths or arrangements of the pipe that affect how much water can flow through (or the signal bandwidth in this case). By optimizing these configurations, we can improve the flow rate significantly.

Parameters of the CE Amplifier

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So, this slide is a recapitulation of one of our previous numerical examples where we have discussed about CE amplifier having fixed bias arrangement and different parameters are given here including the supply voltage of 12 V, then device parameters including Ξ² of the transistor, early voltage, then V and BE(on) then also we do have the bias circuits resistances are given here R then collector resistor B and so and so.

Detailed Explanation

This chunk lists the essential parameters set for the Common Emitter amplifier. Parameters such as supply voltage (12V), transistor properties (like gain represented by Ξ², Early voltage, and V_BE(on)), along with the resistances in the bias circuits and collector resistors are outlined. Each of these components plays a crucial role in determining the operating point and performance of the amplifier.

Examples & Analogies

Imagine setting up a model train track. You have to make sure the power source (supply voltage), train specifications (transistor parameters), and track supports (resistances) are correctly chosen to ensure the train runs smoothly. Any mismatch can lead to poor performance.

Determining the Operating Point

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Let us try to see the operating point of the transistor...using this information and the Ξ² information we are getting the collector current which is equal to 2 mA.

Detailed Explanation

In this chunk, the calculation of the transistor's operating point is explained. The operating point is the DC bias point that ensures the transistor operates correctly in the active region. By using Kirchhoff's Current Law (KCL) and identified parameters, the base and collector currents are computed (20 Β΅A and 2 mA respectively). This step is crucial for determining how the amplifier will respond to signals.

Examples & Analogies

Consider a light dimmer. The position of the dimmer switch defines how much power reaches the light bulb (operating point). If it's set too low (below the active region), the bulb doesn’t light well just like a transistor not operating correctly outside its bias range.

Calculating Small Signal Parameters

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Now, we obtained the small signal parameters value namely g_m...and r_o resulting in voltage gain calculations.

Detailed Explanation

This chunk discusses how to derive small signal parameters such as transconductance (g_m) and output resistance (r_o) based on the collector current calculated earlier. These parameters enable the computation of voltage gainβ€”essential for quantifying how effectively the amplifier amplifies input signals.

Examples & Analogies

Imagine tuning a musical instrument. The finer the adjustments you make (calculating small signal parameters), the better the sound quality (amplifier gain). Each small tweak can have a significant impact on overall performance.

Bandwidth Extension via CC Stage

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Now, the exercise we are going to do it is that we are going to put in this case instead of putting the capacitor here we can probably directly put a CC stage here...

Detailed Explanation

This chunk introduces the approach of utilizing a CC stage to enhance the amplifier's bandwidth rather than adding coupling capacitors. It discusses how this setup allows for better bandwidth performance and calculates new cutoff frequencies, signifying improved amplifier efficiency.

Examples & Analogies

Think about the difference between a narrow road versus a wide highway. By adding a CC stage, you essentially broaden the road, allowing for more cars (signals) to pass through at higher speeds (better bandwidth).

Calculating Upper Cutoff Frequency

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So, the value of this upper cutoff frequency can be obtained by considering that 3.1 k multiplied by 10 sorry 100 pF which is 10β€’10.

Detailed Explanation

In this section, the upper cutoff frequency is discussed alongside its relation to the output resistance and capacitance. By including these parameters, calculations reveal essential information about the frequency response and limits of the amplifier’s performance.

Examples & Analogies

This is like determining the frequency response of a speakersβ€”where sound gets muffled above certain pitches. By calculating the cutoff frequency, you are identifying the point beyond which the audio signal cannot effectively be transmitted.

Summary of the Enhanced Circuit Performance

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So in summary what we have circuit performance why should you have the circuit gain is 238 and then the upper cutoff frequencies 513 kHz.

Detailed Explanation

This final chunk presents a summary of the results achieved from the previous calculations. The overall gain and bandwidth results showcase the improvements and effectiveness of including the CC stage in the configuration, emphasizing the practical application of the theoretical concepts discussed throughout this section.

Examples & Analogies

Think of the amplifier as a competitive athlete. The gain (strength) and cut-off frequency (speed) are akin to their performance statistics. By improving training (adding CC stage), the athlete becomes even stronger and swifter, ready to outperform competitors.

Definitions & Key Concepts

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

Key Concepts

  • Common Emitter Configuration: Known for high voltage gain in transistor amplifiers.

  • Common Collector Configuration: Enhances input impedance and bandwidth.

  • Beta (Ξ²): A crucial parameter in determining transistor amplification capabilities.

  • Voltage Gain and Bandwidth: Exploring the trade-offs between gain and bandwidth in amplifier circuits.

Examples & Real-Life Applications

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

Examples

  • Example 1: Given a CE amplifier with a beta of 100, calculate the base current when the collector current is 2 mA.

  • Example 2: Analyze the impact of integrating a CC stage on the bandwidth of an already established CE amplifier.

Memory Aids

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

🎡 Rhymes Time

  • To gain with beta, multiply the current true, it's collector divided by the base, will get you through.

πŸ“– Fascinating Stories

  • Picture a strong amplifier, lifting voices higher, but when it meets resistance, the sound starts to tire. That’s the balance of gain and bandwidth in desire.

🧠 Other Memory Gems

  • For remembering the order: C for Collector, E for Emitter, and B for Baseβ€”CEB helps guys to place.

🎯 Super Acronyms

Use 'BAND' to recall

  • Bandwidth; Amplifier; Notable Drop-off.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Common Emitter (CE) Amplifier

    Definition:

    A type of bipolar junction transistor amplifier configuration that provides high voltage gain but lower input resistance.

  • Term: Common Collector (CC) Amplifier

    Definition:

    A transistor amplifier configuration known for its high input impedance and ability to enhance bandwidth.

  • Term: Beta (Ξ²)

    Definition:

    The current gain factor of a transistor, defined as the ratio of collector current to base current.

  • Term: Voltage Gain

    Definition:

    The ratio of output voltage to input voltage in an amplifier.

  • Term: Upper Cutoff Frequency

    Definition:

    The highest frequency at which the amplifier can function effectively, beyond which gain falls significantly.

  • Term: Small Signal Parameters

    Definition:

    Parameters used to analyze the behavior of electronic devices under small perturbations or changes in voltage and current.