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Today, we're discussing current gain in amplifier circuits. Can anyone tell me what current gain refers to?
Isn't it the ratio of output current to input current?
Exactly! It's commonly denoted as A. When feedback is applied, do you think this current gain changes?
I wonder if it stays the same because feedback is supposed to stabilize things.
You're right! The current gain remains unchanged due to the balancing effects of feedback. Remember this: 'Feedback boosts stability, holding gains in equilibrium.'
Why is it important that the current gain doesn't change?
Great question! It allows designers to predict performance without unexpected alterations when feedback is introduced. Let's summarize: Current gain remains constant due to feedback's stabilizing effect.
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Now, let's shift our focus to voltage gain. Can anyone recall how feedback influences voltage gain?
From what we learned, the gain decreases with feedback, right?
Correct! However, as the voltage gain decreases, the output resistance increases simultaneously. Can anyone explain why this happens?
Because feedback essentially redistributes the signal effects throughout the circuit?
That's a great observation! The increased output resistance counteracts the decreased gain, keeping voltage gain stable overall. Let's cement this concept with a mnemonic: 'Vicious Velcro β Voltage remains, though resistance gains.'
That helps a lot! So, we won't see any change in voltage gain even with feedback?
Exactly! Due to the balancing nature of these characteristics, voltage gain retains its value. Let's recap: Voltage gain is stable due to simultaneous decreases and increases.
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Finally, letβs investigate trans-impedance. What does trans-impedance represent in our circuits?
Is it the output voltage per input current?
Yes, thatβs right! Trans-impedance is defined as Z = V/I. Now, how does feedback affect this parameter?
I think it increases because feedback enhances overall stability and performance?
Indeed! The output voltage rises more than the input current response diminishes, resulting in increased trans-impedance. As a mnemonic: 'Zig-Zagging in circuits, trans-impedance escalates.'
That makes sense! So, trans-impedance benefits from feedback, unlike voltage and current gains.
Exactly! It's crucial to distinguish these differences. In summary: Trans-impedance increases due to effective feedback in the circuit.
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The impact of feedback on amplifier circuits is examined, focusing on how both voltage and current gains decrease while input and output resistances increase. The section also explains the significance of trans-impedance and provides guidelines for selecting feedback values.
In this section, we explore the effects of feedback on voltage gain, current gain, and trans-impedance in analog circuits. Feedback is an essential technique employed in amplifiers to enhance stability and performance. Feedback affects the gains and resistances as follows:
Feedback configurations significantly influence circuit characteristics. The adjustments necessitated in selecting resistance values ensure that the amplifier operates efficiently and effectively. Understanding these dynamics is vital for any engineer or technician working with analog circuits.
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In fact, we are making this G getting reduced by a factor of that desensitization. So, this is getting decreased D = (1 + Gβ² Ξ² ) and it is (1 + g R).
The desensitization factor is a key metric in feedback circuits. When feedback is applied to an amplifier, it can reduce the gain, denoted by G and Gβ². The desensitization factor D reflects this reduction and is calculated as D = (1 + Gβ² Ξ²) or D = (1 + g R), indicating how much the gain has decreased due to the feedback mechanism.
Think of a speaker with a loud sound system. When you adjust the volume down to avoid distortion, you are effectively desensitizing the output sound level. Similarly, feedback in circuits lowers the overall gain to prevent distortion in signals.
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Also, we know that input resistance getting increased by this factor, output resistance it is also getting increased by the same factor D.
When feedback is applied, both the input and output resistances of the amplifier circuit increase by the same desensitization factor. This change is significant because a higher input resistance can improve the circuit's ability to not load the source signal too much, while a higher output resistance may be advantageous in certain applications.
Imagine you have a sponge (input resistance) and you are trying to absorb water (input signal). If the sponge increases in size (input resistance increases), it can hold more water without becoming too saturated, thereby preventing interference with your work.
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If I want to see what kind of changes do you expect or do you see for a current gain, then, we have to look into the expression of the current gain in terms of G. A = G R.
Current gain in an amplifier circuit is defined by the relationship A = G R, where G is the trans-conductance and R is the resistance in the circuit. It can be observed that although G decreases due to feedback, R increases correspondingly, resulting in no change in the overall current gain.
Consider a water pump that can push water (current) through a pipe. If the capacity of the pump decreases (lower G) but the pipe diameter increases (higher R), the overall flow rate remains the same. This mirrors how feedback affects current gain in amplifiers.
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If I consider the expression of the voltage gain from here which is G m times R. A = G R and here again G it is decreased but R it got increased by the same factor D.
Voltage gain is described by the expression A = G R. Even if G decreases due to feedback, the resistance R increases by a correspondingly matching factor. As such, the changes in G and R counteract each other, leading to no observable change in voltage gain.
Picture a seesaw at the playground: if one side is lowered (reduced gain), the other side can be lifted (increased resistance), thereby keeping the seesaw level (no change in voltage gain). This image helps visualize how opposing changes in circuit parameters balance out.
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If I consider Z and its expression can be obtained from this column; namely, it is G, so Z = trans-impedance = G R R. And due to the feedback connection G got decreased R got increased.
Trans-impedance is a crucial parameter defined as Z = G R R. Under feedback conditions, while G decreases, both R and R increase. The combined effect is that the trans-impedance increases, showcasing how feedback can enhance certain attributes of a circuit.
Imagine a funnel that helps direct water flow (trans-impedance). If the input flow decreases (G decreases) but the funnel's neck widens (R increases), more water directed efficiently can lead to a greater output flow overall, mirroring the increase in trans-impedance.
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Key Concepts
Feedback: A technique that applies part of the output back to the input for improved control.
Current Gain: Remains constant despite feedback application due to balancing factors.
Voltage Gain: Stays constant because of reciprocal effects of feedback on output resistance.
Trans-Impedance: Increases under feedback, representing enhanced stability in an amplifier.
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In an amplifier circuit, feedback is used to stabilize currents, ensuring consistent operation.
Trans-impedance increases proportionally with effective feedback implementation, enhancing signal strength.
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Feedback stabilizes, no gain surprise; current, voltage hold tight, resistances increase in flight.
Imagine an amplifier on a tightrope. When feedback is applied, it balances perfectly, keeping its current steady as it walks, with voltage and resistance adjusting just so.
C-V-T: Current gains stay steady, Voltage does too, Trans-impedance for breakthroughs.
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Review the Definitions for terms.
Term: Voltage Gain
Definition:
The ratio of the output voltage to the input voltage in an amplifier circuit.
Term: Current Gain
Definition:
The ratio of the output current to the input current in an amplifier circuit.
Term: TransImpedance
Definition:
A measure of the output voltage in relation to the input current in an amplifier, defined as Z = V/I.
Term: Feedback
Definition:
A process in which a portion of the output signal is fed back into the input to enhance system stability and control.
Term: Desensitization Factor
Definition:
A factor that describes how feedback affects the input and output resistances of a circuit.