Solving the Parallel Circuit: R=25, X[c]=100, X[L]=25

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Discussion Overview

The discussion revolves around calculating the combined impedance of a parallel circuit with given values for resistance and reactance. Participants explore the implications of these values on the overall impedance, addressing potential errors in calculations and interpretations.

Discussion Character

  • Homework-related, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant presents an equation for calculating the combined impedance but arrives at a different answer than expected.
  • Another participant suggests that the discrepancy may arise from not converting the reactance values to phasor form.
  • A third participant argues that the provided values for reactance do not require conversion, indicating a misunderstanding of the problem setup.
  • There is a claim that the expected answer of 120 may be a typo, with a suggestion that the correct answer should be j20, emphasizing that the equivalent impedance should be less than the smallest individual impedance.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of converting reactance values and the correctness of the expected answer, indicating that multiple competing interpretations remain unresolved.

Contextual Notes

Participants do not reach a consensus on the correct approach to the problem or the validity of the expected answer, highlighting potential misunderstandings regarding impedance calculations in parallel circuits.

huma
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Homework Statement


what is the value combined impedance of the parallel circuit ?when R=25 ,X[c]=100 and X[L]=25

Homework Equations


I think we use this equation to solve parallel impedance ...
acp176.gif
.

The Attempt at a Solution


z=1/√((squ(1/25))+(squ((1/25)-(1/100))))=1/√(1/625)+squ(3/100)=√10000/25=100/5=20
but the ans is given is 120 what I do ?
 
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Hi,
with your value(R=25,XL=25,XC=100) and your equation you found the right answer. Maybe you forget to convert L and C value to phasor form, it means ( XL=JwL not XL= L) or the book answer is wrong
 
no its is given the value of Xc and XL ... no need to find Xc and XL
vetre
 
huma said:
but the ans is given is 120
Perhaps it is a typo. The answer is j20, not 120.
The equivalent impedance of a bunch of parallel impedances is less than the least of them, which means the answer is less than 25.
 

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