Series-Parallel Combinations of Inductors

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    Combinations Inductors
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Discussion Overview

The discussion revolves around the analysis of series-parallel combinations of inductors, focusing on the steps taken to combine resistors in a circuit. Participants are seeking clarification on specific calculations and the correct approach to combining components.

Discussion Character

  • Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant expresses uncertainty about their calculations and requests assistance in identifying a mistake.
  • Another participant points out an error in the combination of resistors, suggesting that the participant is incorrectly treating two resistors as being in series while neglecting a parallel resistor.
  • A similar correction is reiterated by a different participant, emphasizing the need to combine specific resistors correctly.
  • A participant shares a series of calculations, though the context and correctness of these calculations are not evaluated in the discussion.

Areas of Agreement / Disagreement

There is no consensus reached in the discussion, as multiple participants point out errors without a clear resolution on the correct approach or final answer.

Contextual Notes

Participants' calculations and assumptions about the circuit configuration are not fully detailed, leaving some steps and definitions unclear.

johnsmith7565
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Homework Statement
Assume that the initial energy stored in the inductors of Fig. P6.21 is zero. Find the equivalent inductance with respect to the terminals a, b.
Relevant Equations
L(series)= L1 + L2 + ... + Ln
1/(L(parallel)) = 1/L1 + 1/L2 + ... + 1/Ln
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I am not sure where I made the mistake. If someone could point that out that would be much appreciated!
 
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That next-to-last step on the first page looks wrong. You are combining two resisters as though they are in series and forgetting the one in parallel on the far top-right. Instead, that step should be to combine the far top-right with the parallel one second from the right.
 
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FactChecker said:
That next-to-last step on the first page looks wrong. You are combining two resisters as though they are in series and forgetting the one in parallel on the far top-right. Instead, that step should be to combine the far top-right with the parallel one second from the right.
Thanks a million! I got the correct answer.
 
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20 // 30 = 12
+ 8 = 20
// 80 = 16
+14 = 30
// 60 = 20
+10 = 30
// 15 = 10
+ 5 = 15 H
 

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