Xc and XL relation after a change of frequency

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Discussion Overview

The discussion revolves around the relationship between inductive reactance (XL) and capacitive reactance (XC) in an AC circuit when the frequency is doubled. Participants explore the conceptual understanding of how this change in frequency affects the reactances of the components involved.

Discussion Character

  • Conceptual clarification

Main Points Raised

  • One participant describes a problem from an exam paper where initially XL equals XC and asks how the relationship changes when the frequency doubles.
  • Another participant suggests writing down the formulas for reactance of a capacitor and an inductor and substituting the frequency with double its value to see the mathematical outcome.
  • There is a focus on conceptual understanding, questioning whether XL is inversely or directly proportional to frequency, and the same for XC.
  • A later reply indicates that the initial participant has understood the answer after the conceptual clarification.

Areas of Agreement / Disagreement

Participants appear to agree on the conceptual approach to understanding the relationship between XL and XC with respect to frequency changes, but there is no explicit consensus on the detailed mathematical derivation or implications.

Contextual Notes

Limitations include the lack of explicit mathematical derivations in the discussion and the dependence on conceptual interpretations of reactance behavior with frequency changes.

Tegalad
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I am getting ready for exams and I have encountered this problem on the exam paper: In AC circuit there is a condensator and a inductive coil, At first XL=XC, how does the relation change when the frequency doubles? The answer says XL=4XC Can someone explain me how they come to this conclusion? Thanks in advance
 
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What is the formula for Reactance of a C and an L? Write those formulae down and substitute f with 2f; what do you get? It's pretty simple maths.
 
Tegalad said:
The answer says XL=4XC Can someone explain me how they come to this conclusion?
It is a purely conceptual exercise. You do not need to write formulas. Respond conceptually. Is ##X_L## inverse or directly proportional to the frequency? And the same question for ##X_C##. This takes you directly to the result.
 
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slow said:
It is a purely conceptual exercise. You do not need to write formulas. Respond conceptually. Is ##X_L## inverse or directly proportional to the frequency? And the same question for ##X_C##. This takes you directly to the result.
Yeah, thank you for response, already got the answer.
 

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