Derivation of Current Flow - 7.2.2 | 7. Revisiting BJT Characteristic - Part B | Analog Electronic Circuits - Vol 1
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7.2.2 - Derivation of Current Flow

Practice

Interactive Audio Lesson

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

Basics of Electron Flow in BJTs

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0:00
Teacher
Teacher

Today, we will analyze how electrons flow in a BJT, especially influenced by voltage. Can anyone tell me why we need a strong reverse bias at the collector?

Student 1
Student 1

To collect the electrons effectively!

Teacher
Teacher

Exactly! A strong reverse bias ensures that electrons injected into the base are attracted to the collector. What happens if the junctions are isolated?

Student 2
Student 2

It would act like two diodes, right?

Teacher
Teacher

That's right! Now, let’s remember this with the acronym 'BJT': β€˜B’ for Bias, β€˜J’ for Junctions, and β€˜T’ for Transistor. This captures the key operational elements of BJTs.

Role of Minority Carriers

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0:00
Teacher
Teacher

Let's talk about minority carriers. What do you think happens to their profile when the junctions are brought closer?

Student 3
Student 3

I guess it changes the exponential decay of their density?

Teacher
Teacher

Great observation! In the presence of reverse bias, their profile will drop to zero as the junctions approach. Can anyone summarize the importance of this?

Student 4
Student 4

It shows how crucial the setup of junctions is for the functioning of the BJT.

Teacher
Teacher

Precisely! As a mnemonic, remember 'CAR' for Current, Approaching, and Reverse bias to link these concepts.

Mathematical Derivation of Current Flow

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0:00
Teacher
Teacher

Now, let's explore the mathematical aspect of current flow. Who can recall the corrected expression for the current carried by electrons?

Student 2
Student 2

Is it something like 'I = q * "something" * [n] or [p]...'

Teacher
Teacher

Close! The total current expression does involve those parameters but should reflect adjustments for L_n. Can anyone explain what role L_n plays?

Student 1
Student 1

It helps in determining the diffusion length of the minority carriers, right?

Teacher
Teacher

Exactly! For a final memory aid, consider this rhyme: 'In BJTs, numbers play, length and carriers lead the way.'

Introduction & Overview

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

Quick Overview

This section discusses the influence of reverse bias on the electron flow in a BJT and how it facilitates the operation of the device.

Standard

The section delves into the mechanics behind current flow in BJTs, particularly the behavior of electrons as they move through base and collector regions under varying bias conditions. It emphasizes the importance of junction proximity and the profile of minority carriers in determining the overall current flow.

Detailed

In this section, we explore the derivation of current flow in bipolar junction transistors (BJTs). The discussion starts with the significance of voltage in injecting electrons into the base region and how the strong reverse bias on the collector allows these electrons to be collected efficiently. A crucial point is made on the operational necessity of keeping the two junctions of the BJT isolated; otherwise, it would merely function like back-to-back diodes. The section also addresses how proximity between junctions alters current characteristics, specifically highlighting the minority carrier profile and its transition due to reverse bias conditions. It culminates in a refined discussion of diffusion current equations, emphasizing the necessary corrections in the expression for current flow carried by electrons.

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

Audio Book

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Injection of Electrons

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Jumping into this one, and it may create abundant availability of the electrons and contributing significantly to this collector current. In other words, based on this voltage the electrons are getting injected into base region, and they are nicely collected by the collector terminal by the virtue of this strong reverse bias voltage.

Detailed Explanation

The section discusses how the voltage applied in a transistor circuit influences the flow of electrons. When a voltage is applied across the base-emitter junction, it creates an environment where electrons from the emitter can be injected into the base region. This injection is crucial as it forms the basis of the collector current, which is the current that flows from the collector terminal. The strong reverse bias on the collector terminal also ensures that these electrons are effectively collected, enhancing the overall current flow in the circuit.

Examples & Analogies

You can think of this electron injection process like water flowing through a pipe. When you increase the pressure (analogous to the applied voltage), more water (electrons) is pushed into the pipe (the base region). The collector terminal acts like a drain, where all the water is collected after flowing through the pipe.

Isolation of Junctions

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So, if these two junctions are remaining isolated, we cannot get BJT operation, it will be rather working as two back to back diodes. And this will be getting converted only when these two junctions are moving close to each other in the near vicinity.

Detailed Explanation

The text points out that for a Bipolar Junction Transistor (BJT) to function effectively, the two junctions (base-emitter and base-collector) must not be isolated. If they are isolated (like two separate diodes), the transistor cannot operate as intended. Instead, it will behave more like two diodes connected back to back, which limits the control of current. However, when these junctions are brought closer, the interactions between them allow for the transistor action to commence, facilitating controlled current flow.

Examples & Analogies

Imagine two friends standing apart and having a conversation. If they are too far away, they won’t be able to communicate well (isolated operation). But as they get closer, they can hear each other clearly and respond quickly, much like how the junctions in a BJT need to be close for effective operation.

Minority Carrier Profile

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So, instead of having an exponential fall of the minority carrier rather it will be having going to drop to 0, because of the reverse bias.

Detailed Explanation

In a BJT, the behavior of minority carriers (electrons in the p-type material, for example) is essential for current flow. Under normal conditions, these carriers decay exponentially with distance. However, when there's a reverse bias applied, the minority carriers do not decrease exponentially; rather, they drop sharply to 0. This means fewer carriers are able to contribute to the current unless brought close to the active junction.

Examples & Analogies

Think of minority carriers as grass in a garden. When plants grow far apart, the grass can thrive in specific spots (exponential fall). But if a gardener applies heavy mulch (reverse bias), the grass has no chance to grow because the conditions are too tough, leading to a sharp decline in growth.

Current Carried by Electrons

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This is where we are talking about the current particularly current carried by electron. I like to mention here a small correction; please make a note of that. Whenever we are taking say, then we do have , so that L part it will be coming here. So, this is a correction.

Detailed Explanation

The section addresses how to calculate the current specifically carried by electrons in the BJT. A formula is mentioned, which incorporates a correction term related to the diffusion length of electrons (denoted as L). This correction is important because it accurately represents how far electrons can diffuse and still contribute to the overall current. Understanding these parameters is crucial for analyzing transistor behaviour and performance.

Examples & Analogies

Imagine a marathon runner (the electron) who can only run a certain distance before getting tired (diffusion length, L). If the track is longer than this distance, the runner won’t make it to the finish line and thereby won't count toward the timing (current). Accurately calculating this run helps understand how many racers can finish and affect the overall race time (current flow).

Definitions & Key Concepts

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

Key Concepts

  • Current Flow: The movement of electrons within the BJT influenced by bias conditions.

  • Minority Carrier Profile: The distribution of carriers that affects current flow, displayed under reverse bias.

  • Reverse Bias Effects: How reverse bias impacts current characteristics in BJTs.

  • Current Expression: Mathematical formulations that describe current flow in terms of charge densities and diffusion lengths.

Examples & Real-Life Applications

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

Examples

  • In a BJT with a forward-biased base-emitter junction and a reverse-biased collector-base junction, electrons flow from the emitter to the collector.

  • By adjusting the separation between the junctions, one can observe the impact on the minority carrier profile and the resulting current flow characteristics.

Memory Aids

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

🎡 Rhymes Time

  • In BJTs, numbers play, length and carriers lead the way.

πŸ“– Fascinating Stories

  • Imagine a busy intersection where electrons are rushing towards the collector, but only if the traffic light, representing reverse bias, is green.

🧠 Other Memory Gems

  • 'CAR' stands for Current, Approaching, Reverse bias; a reminder of the essential components for BJT operation.

🎯 Super Acronyms

'BJT' means Bias, Junctions, Transistor; capturing its core elements.

Flash Cards

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Glossary of Terms

Review the Definitions for terms.

  • Term: BJT

    Definition:

    Bipolar Junction Transistor, a type of transistor that uses both electron and hole charge carriers.

  • Term: Minority Carrier

    Definition:

    The charge carriers in a semiconductor material that are present in a lower concentration.

  • Term: Reverse Bias

    Definition:

    A condition in which the voltage applied to a diode is in the opposite direction to the flow of current, preventing main charge carriers from flowing.

  • Term: Diffusion Current

    Definition:

    The current that results from the movement of charge carriers from high concentration areas to low concentration areas.