Say one has a electrolytic, film, tantalum, and ceramic capacitor, each at 10 µf. When plugged into 1.5v source, which one will charge the fastest and why? This is for a hypothesis, so don't drag in ERS's, please.
Well, my question is "What type of capacitor charges the fastest?" And because it is a Sci Fair experiment, I need a hypothesis formulated before I start testing.hi SH,
A simple dual LTS plot of the 3 types, with their ESR as LTS specified and their ESR=0
What is the hypothesis supposed to demonstrate.?
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I don't have a null hypothesis, because there is no claim. Therefore, the null hypothesis would be whatever capacitor people agree will charge the fastest. An alternative hypothesis would be if any other capacitor turns out to charge the fastest.What would your null hypothesis be?
What information have you found that might falsify your null hypothesis?
Well, I suppose the null hypothesis will be an if/then. It would appear like so (NOTE: this is an example, not the actual hypothesis) "If these types of capacitors are plugged into a 1.5v source, then the tantalum capacitor would reach maximum charge in the shortest amount of time.)What would the general null hypothesis be in anything at all like what you want to investigate? What would it be for say something like how the color of tires on a car influence the maximum speed of the car?
I would say the general null hypothesis is that they're all the same. You need data to prove otherwise and reject the null hypothesis. If you collect enough such data, you'll find that there are differences that are statistically unlikely to result from random error in the measurements. Additional data might support an additional hypothesis, that ESR is an important factor correlated to charging time.Well, I suppose the null hypothesis will be an if/then. It would appear like so (NOTE: this is an example, not the actual hypothesis) "If these types of capacitors are plugged into a 1.5v source, then the tantalum capacitor would reach maximum charge in the shortest amount of time.)
Are you trying to explore capacitors, or people's thoughts regarding capacitors? I would imagine you could do a decent Science Fair project on either topic, but if you are trying to explore capacitors, then what people do or don't agree to has zero relevance unless you think (or are trying to test the claim) that capacitors are aware of what people believe about them.I don't have a null hypothesis, because there is no claim. Therefore, the null hypothesis would be whatever capacitor people agree will charge the fastest. An alternative hypothesis would be if any other capacitor turns out to charge the fastest.
I suppose your right, because that is technically a valid hypothesis. Therefore, do you think that my hypothesis should be (in a if/then/because format) : If these capacitors are plugged into a 1.5 volt power source, then the time it takes to charge the capacitors to the maximum voltage should be the same across all of them., because they all have the same capacitance (47 µf) and I do not exceed the voltage rating.I would say the general null hypothesis is that they're all the same. You need data to prove otherwise and reject the null hypothesis. If you collect enough such data, you'll find that there are differences that are statistically unlikely to result from random error in the measurements. Additional data might support an additional hypothesis, that ESR is an important factor correlated to charging time.
So, just to clarify, looking for the the cap that could reach the max faster, is the same as looking for the one with the lowest ESR?Hello,
We can talk about this without *keeping* ESR in the equation, but we still must consider that in order to figure out the right answer, then later sort of cancel it out so it is no longer a part of the solution. This will happen because the answer would be in the form of voltage vs time which does not (any longer) include ESR.
Since we know for a FACT that the lower the ESR the faster a cap charges when subject to an ideal voltage source forcing function in the form of a unit step, we can look at all the cap types and find out which one has the lowest ESR possible. We can then claim that is the one that will charge the fastest, and that does not need to include ESR anymore it just needs to state the capacitor type.
So what you are looking for really is the type of cap that today has the lowest ESR possible, and that is your answer.
Yes, I am collecting data. The said data is the time it takes to charge the capacitor, from under 1.5v, to 1.5v (Of course, as caps cannot reach 100%, I just call it at 1.49v)Are you planning on actually collecting data? I think it will be difficult to see the charging time with enough precision to tell one from another. You’d need a good oscilloscope and even then I’m not sure what you’ll see unless you add some resistance to slow things down. But then you’re not so much looking at the capacitor as the resistor.
Using a high frequency AC signal might be a better technique for showing differences.
Yes. If charge time doesn’t correlate very strongly with ESR, you’d have to question your instruments.So, just to clarify, looking for the the cap that could reach the max faster, is the same as looking for the one with the lowest ESR?
by Jake Hertz
by Jake Hertz
by Jake Hertz