Does a battery exert energy keeping a capacitor charged?

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Discussion Overview

The discussion revolves around the energy dynamics of a DC battery maintaining a charged capacitor in a circuit. Participants explore whether a battery continues to exert energy to keep a capacitor charged over time, particularly focusing on the effects of leakage current and theoretical models of capacitor behavior.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants inquire about the existence of an equation to calculate the energy used by a battery to keep a capacitor charged over time.
  • It is noted that all real capacitors exhibit a small leakage current, which requires the battery to supply energy to prevent self-discharge.
  • One participant proposes a theoretical model for a parallel plate capacitor and questions whether the battery needs to exert energy to maintain the charge against the attractive forces between protons and electrons.
  • Another participant suggests that in an ideal scenario, a battery connected to a fully charged capacitor would not deplete energy faster than one connected to no load, assuming no leakage.
  • There is a discussion about "backwards leakage," with some participants expressing uncertainty about its implications on energy flow in the circuit.
  • One participant raises a question about the efficiency of HHO generators, linking it to the energy dynamics of capacitors and suggesting that energy usage is primarily due to leakage.
  • Clarifications are sought regarding the nature of HHO generators and their operational principles, with references to various sources and examples.

Areas of Agreement / Disagreement

Participants express differing views on the implications of leakage current and the theoretical energy requirements of capacitors. While some agree on the necessity of accounting for leakage, others question the nature of energy flow in ideal versus real-world scenarios. The discussion remains unresolved regarding the efficiency of HHO generators and the specifics of energy usage in such systems.

Contextual Notes

Participants acknowledge that real-world capacitors and batteries have leakage currents, which complicates the idealized models being discussed. There is also mention of the need for resistance values to accurately assess energy dissipation in HHO generators, indicating that further mathematical details are necessary for a complete understanding.

Who May Find This Useful

This discussion may be of interest to students and professionals in electrical engineering, physics, and related fields, particularly those exploring energy storage systems, capacitor behavior, and alternative energy technologies like HHO generators.

  • #31
I don't think there is much to be gained by thinking of the cell as a capacitor. There will be some capacitance but it's not really relevant to the operation of the cell. Once the capacitance is charged (occurs in fractions of a second) no further energy is needed to charge that capacitance.

No I'm not saying that some of the energy used to charge the capacitor is wasted.

The leakage current in a capacitor is normally designed to be as small as possible. That's not the case with an electrolysis cell. You actually want current to flow between the plates of an electrolysis cell.
 
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  • #32
Piotr R said:
I know the energy on the plates is U = CV^2/2 where U is the energy, C is the capacitance, and V is the voltage.

In this case I'm assuming that the plate configuration creates a parallel plate capacitor

You're saying that some of this energy is heating the water, right? That makes sense. Along with what berkeman mentioned about leakage, I guess that's two sources right there the system is losing energy.. interesting
I agree with CWatters. The electrolysis cell is not modeled as a capacitor, and there are no significant reverse leakage currents.

It is a load that you drive with a voltage. There is a forward current that flows. That voltage and current do work -- some of that work splits the water into H2 and O2, and some of it does work on the water (by driving ions through the water), which is lost as heat.
 
  • #33
Maybe not in this case there isn't, but in the case of my undergrad project it is relevant. And to my understanding current does not flow between the capacitor plates in pure water situations, which is why people use electrolyte because

Electrolysis of Water: Pauling, Linus (1970) General Chemistry, Section 15-2. San Francisco.

"If a water-soluble electrolyte is added, the conductivity of the water rises considerably. The electrolyte disassociates into cations and anions; the anions rush towards the anode and neutralize the buildup of positively charged H+ there; similarly, the cations rush towards the cathode and neutralize the buildup of negatively charged OH− there."

But for the most part capacitors produce electric fields; not current.

the reason water is being split is because of the opposite charges on the capacitor plates. one plate's charge is positive, and the other plate's charge is negative, so the negative oxygen atoms are attracted to the positively charged plate, and the positive hydrogen ions are attracted to the negatively charged plate.

it is not beneficial if there is current running between the plates, because in the case there is current: There would be no difference in having a capacitor setup like we've been discussing, and a straight up wire in water.

As mentioned above, electrolyte is added, but not to explicitly allow current to flow between the plates, but instead to neutralize the build up of H+ ions and OH- ions on either plate, so that the process of generating electric field, and likewise creating an anode and a cathode can continue
 
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  • #34
Capacitors don't pass DC currents... :smile:
 
  • #35
Capacitors don't pass currents at all
 
  • #36
Sure they do, AC currents are conducted by the changing electric field.
 
  • #37
berkeman said:
Sure they do, AC currents are conducted by the changing electric field.

The current doesn't pass between the plates though, if that's what your saying
 
  • #39
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  • #40
IIRC Lithium batteries leak less than Aluminum electrolytics, but other than that, batteries self discharge more than capacitors leak.
After 30 years of designing battery chargers and power supplies for many companies, and reading the customer like I was playing poker, it seemed that a circuit that lost less than a micro Amp when not in use was ok. Designing a circuit that leaks less than a uA but can stand up to lightning, takes some work.
 
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  • #41
what material do you use for dielectric in the capacitor?
 
  • #42
Piotr R said:
what material do you use for dielectric in the capacitor?
Who are you asking, and what do you mean?

There are a number of common dielectrics used. Is this a separate topic you want to ask about, or related to your electrolysis questions somehow?
 
  • #43
berkeman said:
Who are you asking, and what do you mean?

There are a number of common dielectrics used. Is this a separate topic you want to ask about, or related to your electrolysis questions somehow?
i'm asking Clark Magnuson, because he brought up designing circuits, so i assume he has experience building capacitors, and yes the dielectric is relevant to electrolysis, because water in a capacitor acts as a dielectric with coefficient value ~80.4, and I am wondering if there is anything he knows that he can tell me about the properties of water, and/ or dielectrics in general in capacitors.
 
  • #44
Piotr R said:
i'm asking Clark Magnuson,
Ah, it helps to remove ambiguity when you want to ask someone if you quote part of their reply. That makes it clear who you are asking. You can do that by clicking "Reply" in the lower right of a post, or just click-drag to select part of a post and click Reply to quote just that part of the post.

I'll tag @Clark Magnuson in case he doesn't have auto-notification of replies enabled in his account. :smile:
 
  • #45
I never designed capacitors other than ones I did not want. That was the 10pF /foot of parallel wires or traces. Multiply by 2pi for coax shield.

I have anecdotes from designing with commercial capacitors. Some of the things we look at are:
1) ESL effective series inductance. The leads or wires to the capacitor are 1uH/ meter that adds to the cap's own problems.
2) ESR effective series resistance. For high frequency this is more important than the value of the capacitor in Farads.
3) Maximum RMS current. Must get the heat out of the capacitor.

If there is an electrolyte, it can leak and cause end of life. I test the capacitor with an oscillator, hooked up to an amplifier, hooked up to transformer, hooked up to a DC bias, hooked up to the capacitor under test in an oven. I weigh the capacitor before and after testing. I pick up the capacitor with tweezers, as my finger prints weigh more than the amount of Hydrogen outgassing I am trying to measure.

Some of the best capacitors I have used are multilayer ceramic. They are available in a range of dielectric materials.
 

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