Hey there,I've been learning about AC circuits recently and while

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Discussion Overview

The discussion revolves around the behavior of voltage drops in AC circuits, specifically in LCR (inductor-capacitor-resistor) circuits. Participants explore the conditions under which the voltage drop across capacitors and inductors can exceed the voltage of the source, considering concepts such as phase differences, resonance, and impedance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that energy storage in capacitors and inductors might lead to higher voltage drops, but expresses uncertainty about this reasoning.
  • Another participant questions the role of inductance and the charging state of the capacitor in the context of AC circuits.
  • A different participant proposes that disconnecting a generator and substituting it with a smaller one could create a scenario where voltage drops exceed the source voltage.
  • One participant explains that in a series RLC circuit, the phase difference between the current and voltage allows for the possibility that the impedance of the capacitor can exceed the overall circuit impedance, leading to higher voltage drops.
  • Another participant clarifies that the peak voltage drop across capacitors or inductors can exceed the peak EMF due to phase differences, while noting that the sum of instantaneous voltage drops equals the instantaneous EMF.
  • A participant discusses resonance in a series RLC circuit, indicating that large voltage drops can occur across individual components when their impedances are equal and opposite, potentially exceeding the supplied voltage.
  • One participant mentions that special circuitry, such as transformers, can alter voltage and current relationships while maintaining power factor considerations.

Areas of Agreement / Disagreement

Participants express various viewpoints on the conditions under which voltage drops can exceed the source voltage, with no consensus reached. The discussion includes multiple competing explanations and interpretations of the underlying principles.

Contextual Notes

Participants reference concepts such as phase differences, resonance, and impedance without fully resolving the implications of these factors on voltage behavior in AC circuits. There are also mentions of specific circuit configurations that may influence outcomes.

EEWannabe
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Hey there,

I've been learning about AC circuits recently and while considering and LCR circuit it occurred to me; it's possible for the voltage drop across a capacitor/inductor/both to be greater than the voltage source itself however I can't think of the reason for this, any hints or reasons would be greatly appreciated.

The only idea I can think of is that since energy is stored in both of them the potential difference across them increases, but I don't think that's right
 
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If it's an AC circuit, would inductance have anything to do with it? Or maybe something about the capacitor being charged or not? I don't know enough about electrical circuits to help you I'm afraid.
 


Try posting the circuit and we'll see...

Yes, if you charge a capacitor in an RC circuit with a certain voltage source and then you disconnect the generator and substitute it with a smaller one, then you have the situation like the one you described, at least for some time.
 


Well I'm just considering a simple series RLC circuit.

Because the impedances of the capacitor and inductor cancel due to their phase difference, it's actually possible for the impedance of the capacitor to be greater than the overall impedance of the circuit. And since the V through the Capacitor for example is V(c) = Vo Z(capacitor)/ Z(total).

I don't see how that could be true though...
 


i think the problem here is in understanding peak value of voltage drop and instantaneous value of voltage.
it is in fact true that the peak value of voltage drop across a capacitor or a inductor can be greater than the peak value of e m f because there is a phase difference between current and voltage. but the sum of instantaneous values of voltage drop across all circuit elements is equal to instanteneous emf.
 


For a series RLC circuit, Z = R + iωL + 1/iωC. At resonance ω = √LC, the impedances of the last two will be equal and opposite, and the current will be determined by R alone. If the two terms are individually both large (not small) you will get a large voltage drop across each one, in opposite directions, which may exceed the supplied voltage.
 


Of course, as special circuitry(ie. transformer or other) increases voltage the current is reduced, satisfying the need for the power factor to be the same or usually always slightly less(losses).
Inversely, one can increase current with a required reduction in voltage.

The Power Factor MUST remain the same or less in these types of cases.
 

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