Resistance of a discharging capacitor

  • Context: Undergrad 
  • Thread starter Thread starter Pharrahnox
  • Start date Start date
  • Tags Tags
    Capacitor Resistance
Click For Summary
SUMMARY

This discussion focuses on calculating the maximum current drawn from a capacitor connected to a low-resistance resistor, specifically a few milliohms (mΩ). The resistance of the capacitor, known as Equivalent Series Resistance (ESR), significantly impacts the maximum current, which can be determined through measurements or manufacturer specifications. The discussion highlights that for 63V 12000μF capacitors, the ESR is approximately 21mΩ, and connecting two in parallel reduces the total ESR to about 10.5mΩ. The maximum current at 60V is calculated to be 42.55A, factoring in the wire resistance.

PREREQUISITES
  • Understanding of capacitor behavior and Equivalent Series Resistance (ESR)
  • Basic knowledge of RC circuit theory and time constant calculations
  • Familiarity with voltage and current measurement techniques
  • Experience with data-logging tools for high-frequency voltage sampling
NEXT STEPS
  • Research methods for measuring Equivalent Series Resistance (ESR) in capacitors
  • Learn about the impact of parasitic resistances in capacitor circuits
  • Explore the use of data-loggers for capturing rapid voltage changes in RC circuits
  • Investigate the design and implications of ladder filter models in circuit analysis
USEFUL FOR

Electronics engineers, hobbyists designing RC circuits, and anyone involved in high-current capacitor applications will benefit from this discussion.

Pharrahnox
Messages
106
Reaction score
0
I am trying to calculate the maximum current drawn from a capacitor that is connected to a resistor of a very low value (a few mΩ). Because the resistor does not have a large resistance as I've seen with many V/t and I/t graphs for capacitors connected to resistors, where the decay of the curve depends on the RC time constant, I am pretty sure that the resistance of the capacitor would have a significant affect on the maximum current.

How can this resistance be determined? If the resistance of the capacitor changes over time, which I'm pretty sure it does, how can I find its lowest resistance from which current is drawn?
 
Physics news on Phys.org
I don't think the resistance changes over time. In order to get an accurate decay curve and find the current you would need to find the total resistance of the circuit, which will include the resistance of the resistor, the capacitor, and the wires. The latter two are usually so small that we can ignore them, but if your resistor has very little resistance then they may become significant factors.
 
Another complication, if the resistance of the capacitor is significant, is that it won't behave like a single resistor in series with a perfect capacitor, because the resistance will be distributed over the area of the capacitor plates. A better model might be a ladder filter with resistors as the 'horizontal' elements and capacitors as the 'vertical' elements.

But perhaps I'm scaremongering. No doubt the circuit could be investigated with some sort of data-logger that samples voltages at very frequent intervals, and can therefore deal with very rapid charge or discharge.
 
Do you know the make and model of the capacitor?

Manufactures often publish extensive amounts of data for electronic components. You can usual find an effective serial resistance.

The other option is to build a simple RC circuit and measure the decay time.
 
According to this site: http://www.chemi-con.com/components/com_lcatalog/uploaded/8/3/3/48990562506224c250b19.pdf at pg26 63V 12000μF capacitors have about 21mΩ ESR.

I have 2 of these, so I could connect them in parallel to get a total capacitance of 24mF. Since they are in parallel, does this then mean that the ESR would be halved (since there's two of them)? If so, this would mean that the maximum current would be assuming the wire (in this case acting as a resistor) resistance to be 1.4Ω, then the total resistance would be 1.41Ω, and the maximum current at 60V would be 42.55A.

However, there would be other factors that would drastically affect that value, wouldn't there? And if so, roughly how much of an affect would they be expected to have on the maximum current?
 
Last edited by a moderator:

Similar threads

  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 38 ·
2
Replies
38
Views
5K
  • · Replies 16 ·
Replies
16
Views
2K