What's the capacitance of a typical car's battery?

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Discussion Overview

The discussion revolves around estimating the equivalent capacitance of a typical car battery, exploring the similarities and differences between batteries and capacitors. Participants engage in a theoretical exploration of charge storage mechanisms, discharge characteristics, and the implications of comparing these two types of electrical components.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant estimates the equivalent capacitance of a fully charged car battery to be around 500F, while another calculates it to be approximately 15,000F at maximum charge.
  • Some participants emphasize that a battery and a capacitor have different discharge characteristics, with one noting that comparisons may not be meaningful.
  • Another participant highlights that while a battery is a DC source with zero frequency, a capacitor's reactance is frequency-dependent, leading to infinite resistance at zero frequency.
  • There is mention of the Earth having a capacitance of around 70μF, with another participant suggesting it is closer to 700μF.
  • One participant introduces a model from the National Renewable Energy Laboratory that simulates a battery as a combination of capacitors and resistors, suggesting that the relationship between charge and voltage in batteries is non-linear.
  • Several participants acknowledge the similarities between batteries and capacitors, noting that both can charge each other despite their differences.

Areas of Agreement / Disagreement

Participants express differing views on the validity of comparing batteries to capacitors, with some arguing against the comparison while others highlight the similarities. The discussion remains unresolved regarding the appropriateness of such comparisons and the implications of the estimated capacitance values.

Contextual Notes

Participants note that the discharge characteristics of batteries and capacitors differ significantly, and the calculations for equivalent capacitance depend on various assumptions and conditions. The discussion also touches on the complexities of modeling batteries, indicating that a simple equivalent capacitance may not capture the full behavior of a battery.

fbs7
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Question for fun.

A car's battery is not a capacitor, but it seems to "accumulates" charge the same way. So, if you take a typical fully charged car's battery, what would be the equivalent capacitance of a 12V capacitor that would have the same charge?

For an extra kick - try to guesstimate its order of magnitude before comparing to the actual calculations! My guesstimate: 500F.
 
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The typical car battery has a 55Ah = 198000 coulombs
C = Q/V = 198000C/12V
But such comparisons don't have any sense.
Capacitor is not a Battery.
The capacitor has a different discharge characteristics than the battery.
But probably you know that already.
So what is the purpose of this thread ?
 

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Jony130 said:
The capacitor has a different discharge characteristics than the battery.
But probably you know that already.
So what is the purpose of this thread ?
Thread is for fun - a battery and a capacitor have the same function, as they store and release an electric charge - so I hoped to have a bit of interesting discussion here. The operating principle is quite different - one does that through an electric field and a dieletric, while the battery does that through chemical energy (which is another form of an electric field), therefore the discharge profiles are different - but then an actual capacitor is similar, but not exactly the same as an ideal capacitor, specially if one chooses an odd dieletric.

Answer of about 15,000 F is right, at maximum charge, what is pretty amazing. At smaller charges the equivalent capacitance decreases. I bet if anyone would imagine that just by guessing.

To this I was planning to link a question about what's the equivalent capacitance of a cloud, but it doesn't look like many people finds this kind of discussion interesting. Perhaps in the physics forum... :smile:
 
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fbs7 said:
To this I was planning to link a question about what's the equivalent capacitance of a cloud, but it doesn't look like many people finds this kind of discussion interesting. Perhaps in the physics forum... :smile:
From what I remember our mother Earth has capacity in the area of 70μF.
 
Closer to 700uF.
 
Wow, both 70u and 700u are pretty amazing!
 
Hmmmm...not sure a battery can be compared to capacitance.

What brings me to this amazing statement? Well...this.

A capacitor has a resistance...or more accurate...a reactance of 1/JWC.

Or in simpler terms...1/WC.

W=Radians per second...or 2*(pie)*frequency.

In other words the reactance of a capacitor is dependent on the frequency.

A battery is DC...therefore it has a frequency of ZERO.

If you plug zero into the reactance of a capacitor...1/WC...you get infinite resistance.

A battery clearly has a finite resistance.

Just food for thought to spur further discussion. Interesting question though.

Then again...a battery does stop charging when full and it becomes an open circuit just like a capacitor when fully charged...and when the battery is low current flows much faster like a capacitor when being charged.

So we are actually talking about the transient state of a capacitor in a DC enviroment...produced by the battery itself...or produced by an alternator...lol

Wow...now I'm really confused...lol.
 
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I don't think there are any arguments here about the differences between capacitors and batteries. However, just because there are differrences does not mean that there are no similarities.
 
Averagesupernova said:
I don't think there are any arguments here about the differences between capacitors and batteries. However, just because there are differrences does not mean that there are no similarities.

Clearly...because you can charge a capacitor with battery...and you can charge a battery with a capacitor!
 
  • #10
psparky said:
Hmmmm...not sure a battery can be compared to capacitance.

What brings me to this amazing statement? Well...this.

A capacitor has a resistance...or more accurate...a reactance of 1/JWC.

Or in simpler terms...1/WC.

W=Radians per second...or 2*(pie)*frequency.

In other words the reactance of a capacitor is dependent on the frequency.

A battery is DC...therefore it has a frequency of ZERO.

If you plug zero into the reactance of a capacitor...1/WC...you get infinite resistance.

A battery clearly has a finite resistance.


I think that Jony130 got a good approach on this thing of capacitor x battery, which is that in an ideal capacitor Q = CV, while a battery has a non-linear relationship between charge and voltage. Therefore, a single equivalent capacitance would be one that depends on voltage, not a constant.

An interesting thing, though: this is NREL (National Renewable Energy Laboratory)'s model "2RC" of a battery:

http://www.batterydesignstudio.com/system/files/images/NREL-2RCo.preview.jpg

So they simulate a battery as being two capacitors and 3 resistors. This is the simplest model I could find for a battery - the other ones seem pretty more complicated. Model diagram courtesy of "http://www.batterydesignstudio.com".
 
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  • #11
This makes sense. When I was spewing out my dissertation...I was thinking there must be some sort of capacitor either in series or in parallel with each other...or that monstrosity you just showed us.

So to answer the 2nd question of this thread...what is the purpose?

The purpose is simple...to learn.
 

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