How Does Resonance Affect Voltage Across an Inductor?

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    Inductance Voltage
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Discussion Overview

The discussion revolves around understanding the effects of resonance on voltage across an inductor, particularly in the context of a problem involving inductance and capacitance. Participants are exploring the relationships between these variables and how they relate to resonant frequency, impedance, and reactance.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about calculating the voltage across inductance and mentions using the formula for resonant frequency.
  • Another participant points out that the formula provided gives the resonant frequency in radians per second and questions how to derive capacitance from it.
  • A participant claims to have manipulated the equation for angular frequency to find capacitance but expresses uncertainty about the correctness of the equation.
  • There is a suggestion to consider concepts of impedance and reactance, indicating that understanding these may be crucial for solving the problem.
  • One participant encourages performing algebraic manipulations to find a numerical value for capacitance and discusses the frequency-dependent nature of resistance in inductors and capacitors.
  • Participants are prompted to think about how resonance might aid in solving the problem, indicating a conceptual link between resonance and the behavior of inductors and capacitors.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct approach to the problem, with multiple competing views on how to derive capacitance and the relevance of resonance, impedance, and reactance remaining unresolved.

Contextual Notes

Participants express uncertainty about the correctness of their equations and the application of concepts like impedance and reactance, indicating potential limitations in their understanding or coursework coverage.

Who May Find This Useful

Students studying electrical engineering or physics, particularly those focusing on circuits involving inductors and capacitors, may find this discussion relevant.

raoulduke1
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voltage across inductance ??

having real problems with this one, I think i got the 1st pat using w=1/(lc)^1/2


Can someone help me please?
 

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i) That formula gives the resonant frequency in radians per second, how do you get the capacitance out of it?

Have you had a go at ii) and iii)?
 


i got the capacitance by manipulating the equation angular frequency=1/root(inductance x capacitance)
although I am not sure if its the correct equation.

also i couldn't even make a decent effort at (ii)and (iii) i don't even no where to begin.

if you could give me an outline of how to do it ..that would be great
 


In your coursework have you covered either impedance or reactance? What do you know about them?
 


i) That equation looks good. Can you do the algebra and put the numbers into get a value of capacitance?

ii) An inductor or a capacitor can both be considered as having a resistance which changes depending on the frequency of the source. As gneill commented, if you are unfamiliar with either reactance or impedance, this part of the question may be difficult for you.

Also, since the first part was about resonance, can you think of how resonance might help you?
 

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