Finding impedance of rlc parallel ckt

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Discussion Overview

The discussion revolves around the methods for calculating the impedance of a parallel RLC circuit. Participants explore the use of admittance versus direct impedance calculations, examining the differences in results obtained from these approaches.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants note that traditional methods involve calculating the individual admittance of each circuit element before summing them and taking the reciprocal to find the total impedance.
  • Others point out that using direct impedance calculations for parallel components yields different results, suggesting a discrepancy between the two methods.
  • A participant requests clarification on how two different results can arise from the two methods, expressing skepticism about the expected agreement.
  • Another participant asserts that adding admittance and converting to impedance should yield the same result as calculating the impedance directly, encouraging verification of calculations to identify potential errors.

Areas of Agreement / Disagreement

Participants express differing views on the validity of the two methods for calculating impedance, indicating that multiple competing perspectives remain without a clear consensus on the preferred approach.

Contextual Notes

There are indications of potential mathematical errors in calculations, but specific assumptions or limitations in the methods used have not been fully explored or resolved.

Who May Find This Useful

Readers interested in electrical engineering, circuit analysis, or those studying RLC circuits may find this discussion relevant.

umed9
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in most of the books i have seen that while finding an impedance for an parallel RLC circuit first they find the individual admittance of each of the element the after summation of these they take reciprocal to find the impedance
why is it done like that can't we find the impedance in a normal way of finding resistance in parallel circuit
 
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the result does comes different by two methods
 
umed9 said:
in most of the books i have seen that while finding an impedance for an parallel RLC circuit first they find the individual admittance of each of the element the after summation of these they take reciprocal to find the impedance
why is it done like that can't we find the impedance in a normal way of finding resistance in parallel circuit

umed9 said:
the result does comes different by two methods

Can you show us how you get two different results using the two different methods? I would not expect that...
 
If you add the admittance and convert to impedance you will get the same result as working out the impedance of 3 parallel elements. Just do the math both ways with Z1, Z2, and Z3 and if they don't agree, do it again until you find the math error. 1/((1/Z1) + (1/Z2) + (1/Z3)) = Zt and the long form for Z1||Z2||Z3 = Zt where Z1||Z2 is (Z1*Z2)/(Z1+Z2)
 

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