This is something that has been rattling around in the back of my head for some time. I haven't seen this discussed on energetic forum or here so decided to post. I initially felt, I must be ignorant of something, some other equation. After looking into it on the interwebs, it turns out, no, it just doesn't make any sense after all, whew, what a relief I don't know if my title is the correct name but here is the problem.
Take one 1mF capacitor and charge it to 20 volts. The energy in this capacitor is given by the equation 1/2 CV2 so 20 sqrd is 400 divided by 2 is 200 times the capacitance = 200mJ. That is the energy in that cap.
Now discharge that cap into an identical 1mF cap. The potential difference between the two will equalize and you are left with two 1mF caps at 10 Volts. The energy in cap one is 100/2 * 1mF = 50 mJ the energy in the second cap is of course identical. 50+50=100mJ.
Duh, which way did he go, 100 mJ went away. As far as I can see there isn't a simple or good explanation for this. There is talk of heat dissipation. I will have to pay closer attention going forward, but I have an IR thermometer and never notice the discharging cap heating up. I would think for people doing cap discharges with a Bedini set-up if half the energy were lost in heat one might have a nice little space heater from the discharge cap. I've heard talk of EM radiation. Really? What wavelength, is it dangerous, where are the doctoral dissertations documenting such? The other approach is just throw a lot of integral symbols, natural logs and dot products and conclude at the end, nothing to see here. Again, I haven't heard evidence accounting for the loss or a reasonable explanation. The basic defence seems to be well you can have conservation of charge or conservation of energy so it's okay in this case we violate conservation of energy because we retain conservation of charge. It appears to be a problem with definitions, I'm reminded of what Tom Bearden said that we don't have a clear definition of energy.
This is the first link I found on this conundrum https://www.physicsforums.com/thread...charge.286555/ but wait there's more
http://mathscinotes.com/2010/06/the-...-my-first-job/
The second link is actually more interesting. It describes how a new college grad was interviewed by Hewlet Packard and they give him the following problem. You have a ten volt one farad cap, you can discharge it into another 1F cap or into a million 1uF caps. Which will discharge the starting cap more and what will be the final voltage. I'm a bit weak on math but the author describes how discharging the 1 F cap into numerous caps (that together add up to 1F) will result in all caps equalling 3.67 volts. Likely needless to say this miffed some of the commentors. Now you haven't only violated conservation of energy you have also violated conservation of charge, As one said, where did 2.66 coulombs of charge go? Worse you can't argue that this is some sort of loss in the system because it is all theoretical based only from the definitions and applying principals of math, no wonder they were upset and said he had to be wrong. He was hired the same day by HP.
But wait there's more. In one of the replys to the comments the author linked to a video of "introvertebrate". Well, IV, built a Bedini soild state pulse charger and then demonstrated how discharging a 12 volt cap to another cap w/o the charger led to both at 6 Volts. If the same discharge were done through the pulse charger both ended at 7.5 volts. While this is not a net energy gain it does violate conservation of charge, to the positive side this time.
I have to guess there is a very good reason why energy in a cap is defined as 1/2cv2. So I can only surmise that if such energy were driving a resistive load, a motor or possibly an electrochemical reaction, it would fit with the textbook. It certainly doesn't going from cap to cap and from my experience small cap to big cap is far less than 50% efficient.
In any event let's just back up for a moment. You have what would seem to be the simplest of all energy transfer occurrences in electromagnetics, discharging one cap into an identical cap. It does not follow, i.e. it repudiates, the law of conservation of energy without a good explanation. It does follow the law of conservation of charge, unless you discharge it into two caps in which case it repudiates the law of conservation of charge by having too little charge, unless you pulse discharge through an inductor in which case you end up with too much charge. Aren't these laws supposed to be laws because no one has seen exceptions? I have no formal electromagnetics background or experience, I do know enough of the world to say the three words you will never hear from a professor, MIT or otherwise are "I don't know". Still this is one cap discharging into another identical cap and the "laws" seem to be gibberish in trying to explain it. At this point the Star Trek episode return of the Archons comes to mind and I can see McCoy coming up to me Zombie like "Peace and Joy of Landriu Friend, are you of the body? Eh? Guards Heretic! Heretic!! Eh, Landrieu I recant, I recant, To hell with electrons, with planets, there is no perpetual motion, the sun won't rise tomorrow. The LAWS are valid, they are one ... conservation of energy, conservation of charge, conservation of energy, conservation of charge, ahhhhh, I am of the body, say you aren't looking to hire are you?
Take one 1mF capacitor and charge it to 20 volts. The energy in this capacitor is given by the equation 1/2 CV2 so 20 sqrd is 400 divided by 2 is 200 times the capacitance = 200mJ. That is the energy in that cap.
Now discharge that cap into an identical 1mF cap. The potential difference between the two will equalize and you are left with two 1mF caps at 10 Volts. The energy in cap one is 100/2 * 1mF = 50 mJ the energy in the second cap is of course identical. 50+50=100mJ.
Duh, which way did he go, 100 mJ went away. As far as I can see there isn't a simple or good explanation for this. There is talk of heat dissipation. I will have to pay closer attention going forward, but I have an IR thermometer and never notice the discharging cap heating up. I would think for people doing cap discharges with a Bedini set-up if half the energy were lost in heat one might have a nice little space heater from the discharge cap. I've heard talk of EM radiation. Really? What wavelength, is it dangerous, where are the doctoral dissertations documenting such? The other approach is just throw a lot of integral symbols, natural logs and dot products and conclude at the end, nothing to see here. Again, I haven't heard evidence accounting for the loss or a reasonable explanation. The basic defence seems to be well you can have conservation of charge or conservation of energy so it's okay in this case we violate conservation of energy because we retain conservation of charge. It appears to be a problem with definitions, I'm reminded of what Tom Bearden said that we don't have a clear definition of energy.
This is the first link I found on this conundrum https://www.physicsforums.com/thread...charge.286555/ but wait there's more
http://mathscinotes.com/2010/06/the-...-my-first-job/
The second link is actually more interesting. It describes how a new college grad was interviewed by Hewlet Packard and they give him the following problem. You have a ten volt one farad cap, you can discharge it into another 1F cap or into a million 1uF caps. Which will discharge the starting cap more and what will be the final voltage. I'm a bit weak on math but the author describes how discharging the 1 F cap into numerous caps (that together add up to 1F) will result in all caps equalling 3.67 volts. Likely needless to say this miffed some of the commentors. Now you haven't only violated conservation of energy you have also violated conservation of charge, As one said, where did 2.66 coulombs of charge go? Worse you can't argue that this is some sort of loss in the system because it is all theoretical based only from the definitions and applying principals of math, no wonder they were upset and said he had to be wrong. He was hired the same day by HP.
But wait there's more. In one of the replys to the comments the author linked to a video of "introvertebrate". Well, IV, built a Bedini soild state pulse charger and then demonstrated how discharging a 12 volt cap to another cap w/o the charger led to both at 6 Volts. If the same discharge were done through the pulse charger both ended at 7.5 volts. While this is not a net energy gain it does violate conservation of charge, to the positive side this time.
I have to guess there is a very good reason why energy in a cap is defined as 1/2cv2. So I can only surmise that if such energy were driving a resistive load, a motor or possibly an electrochemical reaction, it would fit with the textbook. It certainly doesn't going from cap to cap and from my experience small cap to big cap is far less than 50% efficient.
In any event let's just back up for a moment. You have what would seem to be the simplest of all energy transfer occurrences in electromagnetics, discharging one cap into an identical cap. It does not follow, i.e. it repudiates, the law of conservation of energy without a good explanation. It does follow the law of conservation of charge, unless you discharge it into two caps in which case it repudiates the law of conservation of charge by having too little charge, unless you pulse discharge through an inductor in which case you end up with too much charge. Aren't these laws supposed to be laws because no one has seen exceptions? I have no formal electromagnetics background or experience, I do know enough of the world to say the three words you will never hear from a professor, MIT or otherwise are "I don't know". Still this is one cap discharging into another identical cap and the "laws" seem to be gibberish in trying to explain it. At this point the Star Trek episode return of the Archons comes to mind and I can see McCoy coming up to me Zombie like "Peace and Joy of Landriu Friend, are you of the body? Eh? Guards Heretic! Heretic!! Eh, Landrieu I recant, I recant, To hell with electrons, with planets, there is no perpetual motion, the sun won't rise tomorrow. The LAWS are valid, they are one ... conservation of energy, conservation of charge, conservation of energy, conservation of charge, ahhhhh, I am of the body, say you aren't looking to hire are you?
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