How much does lumped element model effect our analysis?

In summary, the conversation discusses the concept of approximating continuous systems into discrete elements in circuit analysis. It raises the question of potential errors and limitations in this method, such as fluctuations in voltage and changes in resistance under different conditions. The conversation also acknowledges that similar effects can occur in other elements of circuits.
  • #1
Avichal
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0
Previously I never noticed that we are making this abstraction - to abstract continuous systems into an idealized discrete element like resistor or capacitor.

So since we have made this approximation, what kind of errors can occur in our calculations? Does this approximation ever fail so that our calculations just deviate away from the real thing?
 
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  • #2
All models have some limits.

Resistors behave differently if you measure their voltage very precise (it will fluctuate due to its temperature), apply a high current (it will increase its temperature and change its resistance), apply an even higher current (it can melt), use a high frequency and so on. Similar effects can happen in other elements of circuits (including cables) as well.
 

FAQ: How much does lumped element model effect our analysis?

How does the lumped element model impact our analysis?

The lumped element model is a simplified representation of a physical system that assumes all of its components can be represented as discrete elements connected by ideal conductors. This model can impact our analysis by neglecting certain effects, such as parasitic components and non-ideal behavior, which can lead to errors in our analysis.

What factors affect the accuracy of the lumped element model in our analysis?

The accuracy of the lumped element model in our analysis can be affected by several factors, including the complexity of the physical system, the frequency of the signals being analyzed, and the precision of the component values used in the model.

How do we determine the validity of the lumped element model in our analysis?

To determine the validity of the lumped element model in our analysis, we can compare the results obtained using the model with those obtained from more accurate models, such as distributed element models or experimental data. If the results are similar, then the lumped element model is considered valid for our analysis.

Can the lumped element model be used for all types of systems in our analysis?

No, the lumped element model is not suitable for all types of systems in our analysis. It is most commonly used for electronic circuits and systems that operate at low frequencies. For high-frequency systems or systems with complex geometries, a distributed element model may be more appropriate.

How can we improve the accuracy of our analysis when using the lumped element model?

To improve the accuracy of our analysis when using the lumped element model, we can use more precise component values, incorporate parasitic elements, and verify the results with experimental data. It is also important to ensure that the physical system being modeled is within the limitations of the lumped element model.

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