How much does lumped element model effect our analysis?

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SUMMARY

The discussion focuses on the implications of using the lumped element model in circuit analysis, specifically how it simplifies continuous systems into discrete components like resistors and capacitors. Participants highlight that this approximation can introduce significant errors, particularly under conditions of high current, high frequency, or precise voltage measurements. The conversation emphasizes that all models, including the lumped element model, have inherent limitations that can lead to deviations from real-world behavior, especially when temperature effects and material properties are not accounted for.

PREREQUISITES
  • Understanding of lumped element model principles
  • Knowledge of circuit components such as resistors and capacitors
  • Familiarity with electrical measurement techniques
  • Awareness of temperature effects on electrical components
NEXT STEPS
  • Research the limitations of the lumped element model in high-frequency applications
  • Explore temperature coefficient of resistance for various materials
  • Learn about the impact of high current on resistor behavior
  • Investigate alternative modeling techniques for continuous systems
USEFUL FOR

Electrical engineers, circuit designers, and students studying circuit theory who seek to understand the limitations of the lumped element model and its practical implications in circuit analysis.

Avichal
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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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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.
 

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