Common Base and Common Gate Amplifiers (Contd.): Numerical Examples (Part B) - 52.1.5 | 52. Common Base and Common Gate 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.

Common Base Amplifier Basics

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0:00
Teacher
Teacher

Today we're looking at the common base amplifier. Can anyone tell me what a common base amplifier's primary feature is?

Student 1
Student 1

Isn't it that the base terminal is common to both the input and output?

Teacher
Teacher

Exactly! The base is a common terminal, allowing for certain characteristics like low input impedance. Now, how do we bias this circuit practically?

Student 2
Student 2

We use a potential divider, right? Like two resistors to set the voltage?

Teacher
Teacher

Very good! Remember: V_dd divided by R_A and R_B will help create our base voltage. Let's explore how we can find these values numerically.

Determining Operating Points

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0:00
Teacher
Teacher

Now, let's talk about calculating the operating point. Why is it crucial to know the operating point of a transistor?

Student 3
Student 3

Because it determines if the transistor operates in the active region!

Teacher
Teacher

Exactly! We start with the base voltage and use it to find the emitter current. In our example, we derived that using the formula I_B = (V - V_BE) / R_B. What's V_BE?

Student 4
Student 4

It's usually around 0.6 volts for silicon transistors, right?

Teacher
Teacher

Spot on! Remember that the collector current can be approximated as I_C = I_B. Let's calculate these from our previous example.

Output Swing Calculations

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0:00
Teacher
Teacher

Great work so far! Now, what can you tell me about the output swing of our amplifier?

Student 1
Student 1

The output swing is how much the output voltage can vary from its current value!

Teacher
Teacher

Right! The swing can be positive or negative. In our calculations, we found that it goes as low as 5.45V and as high as 12V. How do we calculate the max negative swing?

Student 2
Student 2

We take the output voltage and subtract the minimum allowed voltage!

Teacher
Teacher

Exactly. The formula can be simplified to V_max - V_min. We need to keep these values in mind during design.

Small Signal Parameters

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0:00
Teacher
Teacher

Now, let's shift to small signal parameters. Can anyone explain why we need them?

Student 3
Student 3

They help us understand how the amplifier responds to small changes in input!

Teacher
Teacher

Exactly! They are crucial for analyzing how the amplifier behaves in real scenarios. For instance, our transconductance g_m is based on the collector current.

Student 4
Student 4

How do we find g_m?

Teacher
Teacher

We calculate it using the formula g_m = I_C / V_T. Let’s see how the derived values impact amplifier characteristics.

Introduction & Overview

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

Quick Overview

This section provides numerical examples exploring the operational principles of common base and common gate amplifiers, focusing on practical bias arrangements and the calculations of small signal parameters.

Standard

The chapter delves into the practical circuit configurations of common base and common gate amplifiers, emphasizing bias arrangements and the calculation of operating points and small signal parameters through numerical examples. It illustrates how to determine current gain, input impedance, and output swing experimentally.

Detailed

Detailed Summary

This section discusses various practical aspects of the common base and common gate amplifiers using numerical examples to illustrate their functions. The examples show how to derive voltage and current relationships in circuits with real components rather than idealized models.

Key Concepts Covered:

  1. Common Base Amplifier Configuration: The section begins with reviewing the common base amplifier setup, focusing on generating the base voltage through a potential divider configuration using resistances R_A and R_B.
  2. Operating Point Calculation: The calculation of the operating point in practical arrays is highlighted, using the modified voltage supply and load resistances. This involves determining currents and voltage drops in the circuit.
  3. Small Signal Parameters: The next step discusses the computation of small signal parameters such as transconductance (m), output resistance (r_o), and input resistance (r) from the given currents and voltage settings.
  4. Output Swing Analysis: The section explains the output voltage swing of the amplifier, covering both positive and negative swings and determining limits based on DC bias levels and transistor operating regions.
  5. Common Gate Amplifier Approach: This section also briefly mentions similar analyses for common gate amplifiers, indicating differences in methodologies and resulting characteristics.

Overall, the approach builds a strong foundation for understanding amplifier dynamics through practical examples.

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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 Practical Circuit Arrangement

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Welcome back after the short break. What we are discussing is Common Base Amplifier and we will be going for Common Gate amplifier, but before going I have another example based on the common base where we are talking about practical circuit of this base bias. Instead of having you know ideal separate voltage source here along with the Thevenin equivalent resistance R , practical circuit wise we may have only one supply voltage and from that we need to generate whatever the voltage we like to generate here. So, we can have a potential divider constructed by say R and R connected to ground which generates the voltage here and also we may have a situation that instead of having this ideal current source, we may have some practical component either active device or passive bias circuit.

Detailed Explanation

In this section, the speaker introduces a practical circuit example based on the common base amplifier. The focus is on how real circuits do not always use ideal components (like separate voltage sources or perfect current sources) but rather practical configurations that combine resistors to create desired voltage levels. This sets the stage for understanding how to analyze circuits where components have non-ideal characteristics, which is crucial in electronics design.

Examples & Analogies

Think of it like cooking without having all the perfect ingredients. Sometimes you have to make do with what you have, like using a different spice than the recipe calls for. In electronics, just as in cooking, adapting to what's available is key to successfully achieving the desired outcome.

Parameters of the Common Base Amplifier

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In the next slide we have the example, here as I said that the voltage for the base we are generating in this base voltage by V and then the potential divider constructed by R and R and the value of R and R are given here. The other information about the BJT as well as the other parameters are remaining same which are enlisted here the R intentionally we are making slightly different value or I should say we have made some change here and at the emitter instead of having ideal bias, we have R and its value is given here close to 10 kΩ.

Detailed Explanation

This chunk discusses specific parameters and configurations used in the common base amplifier, specifically mentioning the use of a voltage divider created by resistors to set the base voltage. It emphasizes the changes made in component values (like the emitter resistor) to reflect practical scenarios rather than ideal ones, which is essential for understanding real-world applications of amplifiers.

Examples & Analogies

Imagine you're tuning a musical instrument. You may have to adjust the tuning pegs multiple times to get it just right for a specific song. Similarly, in designing circuits, engineers must fine-tune component values to achieve optimal performance in real-world situations.

Calculating Operating Point of the Transistor

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Let us try to see the operating point of the transistor by considering R , R , and so on. A B Now, in this case V also I have changed. So, instead of 10 V it is 12 V and R and R are both 100 kΩ. So, we can say the voltage source coming to the base is 6 V.

Detailed Explanation

In this section, the speaker focuses on determining the operating point of the transistor based on the new parameters, including changed supply voltage and resistor values. Understanding the operating point is critical as it affects how the amplifier functions β€” essentially ensuring that the transistor operates in the correct region for amplification.

Examples & Analogies

Think of it like finding the best speed for a car in different driving conditions. If you change the road (like changing the voltage supply), you need to find the optimal speed (operating point) for that condition to ensure a smooth and efficient ride.

Base Current and Collector Current Calculations

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So, if I consider this loop and if I see the potential drop, 6 β€’ 0.6 = I Γ— 50 k + 101I Γ— 10.306 k. So, that gives us I = . And that gives us close to 4.95 Β΅A of base current. Now, if we multiply this base current with Ξ², we can get the collector current and the emitter current is of course, (1 + Ξ²)β€§I .

Detailed Explanation

This segment involves solving for the base current, collector current, and emitter current in the transistor. The calculations show the relationship between these different currents and their significance in the performance of the common base amplifier. It illustrates a hands-on approach to understanding current flow in a transistor and the importance of keeping track of these parameters.

Examples & Analogies

Imagine a water system where the flow of water (current) in a pipe changes based on the pressure (voltage) and pipe diameter (resistance). Similarly, in an amplifier, the base current flows through the transistor, affecting the overall output like water flowing through a system affects the overall output pressure.

Determining Output Swing of the Circuit

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The next thing we are going to talk about the output swing on the circuit and as we have discussed that the supply voltage is 12 V and R and R both are equal to 100 kΩ. So, this gives us the Thevenin equivalent voltage. At the base node it is 6 V and the Thevenin equivalent resistance is 50 kΩ. Now, the base terminal current of 5 Β΅A as we have discussed before.

Detailed Explanation

This chunk describes how to determine the range of output voltage swings from the common base amplifier. It explains how to calculate the maximum and minimum voltage values the output can reach and discusses the factors that limit the swing, including transistor saturation. Understanding output swing helps in designing circuits that can handle desired signal variations without distortion.

Examples & Analogies

Consider a swing set in a park. The height of the swing can vary; however, it is limited by the height of the chains and the ground beneath. Similarly, the output voltage swing is constrained by the transistor's limits and supply voltages.

Input Impedance and Current Amplifier Consideration

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So, the input impedance of this circuit is expected to be low. If the source resistance is significant, then the input signal will be experiencing significant amount of attenuation. In fact, in practical purposes when we consider R in the range of kilo ohms or say 10 kΩ, it will be having significant large amount of attenuation. So, instead of considering the circuit in the form of feeding the signal in the form of voltage in practical purposes we consider let the signal be feed into the input terminal in the form of current.

Detailed Explanation

This section highlights the concept of input impedance in the context of common base amplifiers, explaining that a low input impedance results in signal attenuation when a significant source resistance is present. The text suggests feeding the signal as a current instead of a voltage to mitigate losses, framing the common base amplifier as more of a current amplifier.

Examples & Analogies

Imagine trying to pour a thick liquid (like syrup) through a narrow straw (low impedance). The syrup won't flow easily, resulting in a significant waste of the syrup. Similarly, input impedance affects how effectively a signal can be processed in an amplifier circuit.

Current Gain Analysis of the Common Base Amplifier

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First of all on the stimulus part we need to replace current source. Signal current source is i and it may be having a finite conductance and this is conductance is . Now, this signal it is going here and again through this capacitor the signal is arriving to the emitter node. Now, once we have this i we are feeding at the emitter node and then we like to see how much the current we will be getting here particularly in unloaded condition.

Detailed Explanation

The text discusses the concept of current gain in common base amplifiers by analyzing the behavior of the circuit when a signal current is introduced. It emphasizes understanding the unloaded condition where the output is directly connected to ground, allowing for observing the amplification of current without additional loads. This is crucial for assessing the efficiency of the amplifier.

Examples & Analogies

Think about a person trying to lift weights. If they lift freely (unloaded condition), they can gauge their strength effectively. But if they lift while carrying a heavy backpack (loaded condition), it becomes difficult to understand their true strength. Similarly, analyzing current gain in an unloaded state helps us see how effectively the amplifier can perform without extra burdens.

Summary of Findings and Next Steps

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So, what we have to cover here this numerical example and in this numerical example what is the important point here it is in case if we are not using the C what kind of affect it may come and this is important for common base amplifier.

Detailed Explanation

The section concludes the discussion on the numerical example, highlighting that there are practical implications to ignoring certain components (like capacitors) and their effects on the performance of the common base amplifier. This reinforces the importance of understanding all elements within a circuit to ensure proper functionality.

Examples & Analogies

Just like forgetting to include certain ingredients in a recipe can lead to a failed dish, neglecting specific components in an electronic circuit design can result in improper performance. It emphasizes the need for careful consideration and inclusion of all necessary parts when designing.

Definitions & Key Concepts

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

Key Concepts

  • Common Base Amplifier Configuration: The section begins with reviewing the common base amplifier setup, focusing on generating the base voltage through a potential divider configuration using resistances R_A and R_B.

  • Operating Point Calculation: The calculation of the operating point in practical arrays is highlighted, using the modified voltage supply and load resistances. This involves determining currents and voltage drops in the circuit.

  • Small Signal Parameters: The next step discusses the computation of small signal parameters such as transconductance (m), output resistance (r_o), and input resistance (r) from the given currents and voltage settings.

  • Output Swing Analysis: The section explains the output voltage swing of the amplifier, covering both positive and negative swings and determining limits based on DC bias levels and transistor operating regions.

  • Common Gate Amplifier Approach: This section also briefly mentions similar analyses for common gate amplifiers, indicating differences in methodologies and resulting characteristics.

  • Overall, the approach builds a strong foundation for understanding amplifier dynamics through practical examples.

Examples & Real-Life Applications

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

Examples

  • Given V_dd = 12V and R_A = 100kΩ, R_B = 100kΩ, calculate the base voltage and emitter current.

  • Using an input signal of 10mV, derive the output voltage swing for a common base amplifier configured with specified thresholds.

Memory Aids

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

🎡 Rhymes Time

  • Common base, low first place, current flows at a quick pace.

πŸ“– Fascinating Stories

  • Imagine a river at its banks (the output), flowing fast (the current), but it can only be dammed (operating point) at certain places (the bias settings).

🧠 Other Memory Gems

  • Remember: OUTPUT over OPERATING, SIGNAL over SMALL is ideal for amplification (O-O, S-S).

🎯 Super Acronyms

B.O.A.T. - Bias, Operating point, Amplification, Transconductance.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Common Base Amplifier

    Definition:

    A type of amplifier configuration where the base terminal is common to both the input and output.

  • Term: Biasing

    Definition:

    The process of establishing proper operating voltages and currents in an amplifier.

  • Term: Operating Point

    Definition:

    The DC voltage and current values at which the transistor operates efficiently.

  • Term: Transconductance (g_m)

    Definition:

    A measure of the change in output current for a change in input voltage, typically expressed in mA/V.

  • Term: Output Swing

    Definition:

    The range of voltage variations that can be output by an amplifier.