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Today, we are discussing feedback configurations, particularly in amplifier circuits. Can anyone tell me why feedback is important?
I think it helps stabilize the amplifier's performance?
Exactly! Feedback can stabilize characteristics such as trans-impedance. We denote trans-impedance as Z, and ideally, we want it to be defined by the feedback network.
What type of feedback configuration are we using specifically?
We are using a shunt-shunt feedback configuration. Can anyone explain what that means?
It means we mix the output voltage back into the input current, right?
Correct! This configuration helps achieve our goal of feedback stability. Remember the acronym 'SAMP' for Sampling and Mixing in Amplifiers.
SAMPβgot it! That's a great memory aid.
Let's recap: Feedback stabilizes amplifier characteristics, and we are using shunt-shunt configuration, which involves sampling the output voltage.
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Now that we understand the basic principles, letβs explore the role of feedback networks. Why do you think we need to consider the input/output resistance of these networks?
To avoid loading effects?
Exactly! The input resistance should be significantly higher than the output to minimize loading issues. What was the typical range we were looking for?
R should be much larger than both the output resistance and the original input resistance.
Correct! Remember, we often approximate this in practical scenarios. Can anyone think of a practical example?
Using resistors in series or parallel to adjust the values?
That's one way! We want to ensure our components can handle the required range while enhancing performance.
In conclusion, feedback networks must maintain high input resistances relative to outputs to improve circuit stability. Feedback is essential to adjust how the amplifier responds to changes.
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Letβs get into the specifics of how feedback alters circuit parameters like input resistance and trans-conductance. What happens to these parameters under feedback?
I believe they can increase or decrease based on how the feedback is configured?
Exactly! In our case, we typically see reduced input resistance because of the feedback. Can anybody explain the effect on trans-conductance?
It increases, right? Because feedback helps control the way current passes through.
Yes! The formula for trans-conductance shows how it can increase by a desensitization factor. Remember, this is key in amplifier design.
What about the output resistance?
Good point! The output resistance decreases relative to the values we see at the input. As feedback stabilizes parameters, it's essential we keep this range practical.
In summary, weβve examined how feedback impacts input and output resistance, as well as trans-conductance within amplifier circuits under these configurations.
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In this final session, let's analyze a numerical example to illustrate feedback characteristics in action. Can anyone summarize our parameters for the given circuit?
We have R as 5 kβ¦, a supply voltage of 10 V, and Ξ² around 100.
Perfect! Now, how do we determine suitable ranges for R to achieve optimal performance?
By calculating the upper and lower limits for R, right?
Exactly! Combining the limits from both input and output resistances gives us practical ranges. Can anyone unfold why we need to ensure these values fit?
So we can avoid unwanted loading effects and ensure stability in feedback while maintaining desired amplification?
Yes! Our feedback configuration adapts according to these values, affecting voltage and current gain. In conclusion, weβve analyzed practical numericals to deepen our understanding of feedback in amplifier circuits.
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The section explains how negative feedback in a common emitter amplifier aids in stabilizing trans-impedance, outlining the configurations of shunt-shunt as well as related parameters such as input and output resistance. The role of feedback networks and transfer functions is examined within the context of amplifier performance.
In this section, we delve into the feedback configuration using common emitter amplifiers. The key takeaway is how negative feedback stabilizes trans-impedance (Z) of the amplifier, ensuring it is defined by feedback network components. We utilize a shunt-shunt feedback configuration, whereby the output voltage is sampled and mixed with the input current.
The relationship between forward amplifier gain, feedback transfer function, input resistance, and output resistance is critically analyzed. The ideal conditions for feedback are outlined, focusing on how variations in input load affect the internal voltage and device parameters. The importance of maintaining a high feedback resistance relative to other resistances to minimize loading effects is emphasized.
Furthermore, the circuitβs properties, such as input/output resistance, current gain, voltage gain, and effects on trans-conductance, are explored, showcasing how feedback modifies these parameters and ensuring effective operation in amplifier design. Numerical examples illustrate how to select appropriate resistance values within a practical range, ensuring reliable amplifier performance.
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So, this is the configuration we have to use, where we need to sample the signal in the voltage form. And we have to mix the signal at the input in the shunt configuration or we can see that the currents fall or we can say it is shunt-shunt configuration. And so, that based on this table and the requirement, the feedback configuration it is voltage-shunt or shunt-shunt feedback configuration.
In this section, the feedback configuration used in the common emitter amplifier is explained. A shunt configuration is a way of connecting components in parallel. In the feedback network, we sample the output voltage and feed it into the input. The term 'shunt-shunt' means that both the input and feedback configurations involve coupling currents, leading to a certain gain in performance. Essentially, this configuration helps stabilize the amplifier's output.
Think of a dimmer switch for a light bulb. The switch can adjust the brightness of the light by controlling the amount of electricity flowing. Similarly, the feedback configuration can adjust the amplifier's output by controlling the input based on the sampled output.
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And this is the corresponding model of the configuration, where this is the amplifier forward amplifier and this is the feedback network. And here we do have the sampling of the output voltage and here we do have the mixing of the primary input and the feedback current to get the input current for the amplifier.
Here, the setup of the feedback system is further detailed. The amplifier receives a forward voltage and integrates this with the feedback it gains from its output. The output voltage is sampled, and this sampled voltage is used to create a feedback signal that is combined with the primary input signal. This process helps in stabilizing the performance of the amplifier.
Imagine making lemonade. You taste the lemonade and find it is too sweet, so you add more water to balance it out. This is similar to how the amplifier uses feedback to adjust its output based on what it 'tastes' (or measures).
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So, we can say that in this circuit input signal it is current and the output signal it is voltage. So, the forward amplifier it is its gain it is Z . So, its it is unit it is β¦ and then the unit of the feedback networks transfer function Ξ² it is a β§.
In the feedback configuration, the input signal is measured in terms of current (the type of signal entering the amplifier) while the output is expressed in voltage (the type of signal exiting). The gains are characterized by their specific resistances. The forward amplifier's gain is related to the input and output characteristics, and the feedback measure (Beta) indicates how much of the output is utilized for feedback.
Consider a car with a speedometer. The speedometer gives feedback about how fast the car is going (output voltage), which can prompt a driver to adjust their speed (input current). The carβs performance can be linked to how quickly the driver reacts to the speedometer readings.
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So, we can say a Ξ² of this feedback network it is ; in this circuit of course, primary input it is i note that this resistance here bias resistance R it is quite high compared to the other circuit. So, we may ignore this resistance for our linearized analysis or AC analysis and then of course, we have to consider this is AC ground and the output node here which is the collector terminal.
In this part, the feedback network's beta (Ξ²) is discussed, which effectively indicates the degree of feedback in the system. The bias resistance is noted as being large relative to other resistances, simplifying the analysis. Ignoring certain elements allows us to focus on how the AC signals behave in this feedback configuration. The collector terminal plays a significant role as it represents the output of the amplifier.
Imagine a teacher ignoring the noise of students chatter (bias resistance) to listen carefully to a student's answer (AC signals at the collector terminal). By focusing on the most important signals, the teacher ensures better understanding.
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So, we can say that Ξ² it is input resistance of the circuit it is r and output resistance in this case it is r which is also getting loaded with R and typically this R << r.
The relationship between input and output resistance is crucial in feedback configurations. The parameter Beta (Ξ²) reflects how the input resistance (r) and output resistance relate to each other, especially as the load (R) affects output performance. Generally, good practice indicates that the load resistance should be much smaller than the intrinsic output resistance.
Think of a restaurant kitchen (output) needing to serve many orders (load) while keeping a few chefs on hand (resistance). If the chefs are overloaded (too many orders) compared to their capabilities (resistance), they won't perform efficiently.
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So, once you modify this circuit or rather once you take this load within this, then the internal voltage it need to be changed in this form where you can see that the voltage available here it is. Once we have the R the corresponding voltage v it is equal to internal voltage Ξ²r i Γ.
Any alterations to the feedback configuration can directly impact the internal voltage of the amplifier. As the load changes, the internal workings of the amplifier must be adjusted, which could involve voltage associated with input currents. Analyzing these relationships is essential for understanding amplifier stability and performance.
Just like a teacher adjusting their teaching style based on the number of students in a class, the amplifier must adjust its internal setup based on the change in load (R) so that overall stability and performance remain effective.
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So, R should be higher than much higher than r which is 2.6 kβ¦ and also it should be higher than much higher than this Rβ² which is 5 kβ¦. Now, if I say that these two are defining the lower limit on the other hand if I consider Ξ² Zβ² >> 1 which is giving us >> 1. So, this is giving us that R should be much smaller than 500 kβ¦.
Setting practical limits for the resistances in the circuit is essential for ensuring effective performance. The value of the feedback network (R) must be much higher than both the input and output resistances to maintain device stability. Conversely, R must remain much smaller than a threshold voltage to ensure that the amplifier's feedback remains functional.
It's like knowing how loud you can sing in a karaoke competition. If you sing too low (like R being too small), you won't be heard (feedback fails), but if you sing too loud, you might drown out others (feedback becomes ineffective). Finding the right volume is key!
Learn essential terms and foundational ideas that form the basis of the topic.
Key Concepts
Trans-Impedance: Defined as the output voltage over input current of the amplifier, crucial for stabilization via feedback.
Input Output Resistance: Impacted as feedback is applied, key to preventing loading effects and ensuring stable performance.
Feedback Network: Components that establish the feedback mechanism, essential for maintaining amplifier performance.
Shunt-Shunt Configuration: A specific configuration of feedback allowing parallel mixing, enhances stabilization.
Trans-Conductance: Increases in response to feedback, crucial for amplifier effectiveness.
See how the concepts apply in real-world scenarios to understand their practical implications.
Considering a common emitter amplifier with R = 5kΞ© and Ξ² = 100, we analyze input and output resistances in the context of feedback stability.
When using shunt-shunt feedback, input resistance decreases because the circuit reacts more sensitively to the feedback mechanism.
Use mnemonics, acronyms, or visual cues to help remember key information more easily.
To stabilize what we gain, Shunt-shunt is not in vain; feedback helps us make it right, Ensuring circuits work so bright.
Imagine a team of musicians (amplifiers) sharing their tunes (signals). Feedback acts as the conductor, mixing outputs into the inputs to create harmony (stability).
Remember: Z for Voltage to input current - Voltage transfers make the sound.
Review key concepts with flashcards.
Review the Definitions for terms.
Term: TransImpedance
Definition:
The ratio of output voltage to input current in an amplifier, stabilized by feedback.
Term: Input Resistance
Definition:
The resistance seen by the input signal, which can be modified by feedback.
Term: Output Resistance
Definition:
The resistance seen at the output of the amplifier, influencing circuit response.
Term: Feedback Network
Definition:
Components that sample and return part of the output signal to the input to control the overall performance of the circuit.
Term: ShuntShunt Configuration
Definition:
A feedback arrangement where both input and output signals are mixed in parallel, affecting the amplifierβs performance.
Term: TransConductance
Definition:
The ratio of the output current to the input voltage in the context of control mechanisms in amplifiers.