Series LC Circuit: Caps & Resonators - Tapping Resonant Frequency

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Discussion Overview

The discussion centers around the use of capacitors in series LC circuits, specifically addressing the suitability of bipolar electrolytic capacitors and how to effectively tap the resonant frequency from such circuits. Participants explore various capacitor types and their implications on resonance, voltage behavior, and circuit performance.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that bipolar electrolytic capacitors can be used in series LC circuits, but caution that the circuit may not achieve good resonance due to the large current requirements of such capacitors.
  • Others argue that the reactance of the components is crucial for achieving resonance, suggesting that components should have a reactance of at least 200 ohms for effective performance.
  • A participant mentions that the voltage across the capacitor and coil will rise significantly at resonance, especially with a low-resistance coil, but also notes that a series resonant circuit will have low impedance at resonance, which can lead to voltage sag.
  • There is a suggestion that ceramic capacitors might perform better in low current applications compared to electrolytic capacitors, particularly in resonant circuits.
  • One participant questions the relationship between supply current and capacitance, suggesting that a 1 Farad capacitor would work with a 1 amp supply current, while another participant corrects this by emphasizing the importance of reactance over simple current-capacitance relationships.
  • It is noted that the voltage gain in a resonant circuit is beneficial when driving a high impedance load with a low impedance source.

Areas of Agreement / Disagreement

Participants express differing views on the suitability of various capacitor types for resonant circuits, the implications of reactance on voltage behavior, and the relationship between supply current and capacitance. No consensus is reached on these points.

Contextual Notes

Participants highlight the dependence of circuit performance on component reactance and the specific conditions under which different capacitors may be effective. Limitations regarding assumptions about current and capacitance relationships are noted, but remain unresolved.

Idea04
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For a series LC circuit, can a bipolar electrolytic capacitor be used. Also how do you tap the resonant frequency from a series LC circuit.
 
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If you have a coil and a capacitor in series and put an AC signal across the series pair, the voltage across each of them will rise a lot at resonance, especially if the coil has low resistance.
So, you can choose if you take the output across the capacitor or the coil. It will be a much magnified version of the input.

You probably could use bipolar electrolytics, but the circuit you used them in might not have a very good resonance.
This is because large capacitors (which these capacitors are ) need a very large current through them to develop big voltages.
So, unless you can deliver such currents, you are better off calculating your resonance so that the components have a reactance of at least 200 ohms.

For example, a capacitor of 0.796 uF and a coil of 31.8 mH would resonate at about 1000 Hz and could give quite a good resonance.
You could resonate at 1000 Hz with 15.9 uF and 1.59 mH but the resonance would be very poor if you only had a signal generator to put the AC across the circuit.
In the first case, the components have a reactance of 200 ohms. In the second, 10 ohms.

The 15.9 uF capacitor could be a bipolar electrolytic but it would also have to have low ESR which is Equivalent Series Resistance.

If you are thinking of trying this, the output resistance of the signal generator appears in series with the tuned circuit, so you would normally put a small resistor across the signal generator. Maybe 10 ohms or so.

.
 
Last edited:
vk6kro said:
If you have a coil and a capacitor in series and put an AC signal across the series pair, the voltage across both of them will rise a lot at resonance, especially if the coil has low resistance.

A series resonant circuit will have a LOW impedance at resonance causing the voltage to sag.
 
For a low current application would a ceramic capacitor work better.
 
Tell me if I'm wrong with this , But I thought that if you had a supply current of 1 amp then a 1 Farad cap would work. And if you had a supply current of 3.3 micro amps a 3.3 micro Farad cap would work.
 
The voltage across each of the components will rise dramatically at resonance.
This rise in output is very useful if you have a low impedance source driving a high impedance load as you can get a substantial voltage gain.


Tell me if I'm wrong with this , But I thought that if you had a supply current of 1 amp then a 1 Farad cap would work. And if you had a supply current of 3.3 micro amps a 3.3 micro Farad cap would work.


No, that isn't true.
It has more to do with the reactance of the components. Any capacitor and coil will resonate at some frequency, but the actual voltage step-up depends on the reactances of the components. The voltage is equal to the reactance times the current and reactance depends on frequency. Even at 1 Hz a 1 Farad capacitor only has a reactance of 0.16 ohms so 1 amp through it would produce a voltage of 0.16 volts

For a low current application would a ceramic capacitor work better.
Better than an electrolytic? Yes, much better.
Ceramic capacitors work well in resonant circuits. They change capacitance with temperature but low temperature coefficient ones are available.
 

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