3 ms·

I don't think that this is true. The velocity of the particle entering the "high" side of the field does not affect the force applied on the particle by the fie

I don't think that this is true. The velocity of the particle entering the "high" side of the field does not affect the force applied on the particle by the field. Check out the wiki article on [cyclotrons][1]. I think the trick is turning the field on and off. Again, I'm no expert. [1]: https://en.wikipedia.org/wiki/Cyclotron https://en.wikipedia.org/wiki/Cyclotron

gus_massa 2y ago
I tbink both of you agree! There are two solutions to gain the energy again from "the same" field. 1) Lost the energy it won in the last pass. 2) With the field to avoid losing the energy in the return trip.
- MathMonkeyMan 2y ago
  I interpreted mattashii's point as being this: You have a ring around which charged particles can travel. The voltage at the start is V, and the voltage just behind the start (the end) is defined to be zero. A charged particle "falls" down the potential until it gets to right before where it started. But then it will momentarily feel a large force in the opposite direction as it "climbs" back up to V from zero. I don't know how particle accelerators avoid this, but the wiki on cyclotrons refers to a "rapidly varying electric field."
  - gus_massa 2y ago
    If all the other charges in the universe are fixed, then mattashii is right. The trick to undestand the Cyclotron is in the graphic: chttps://en.wikipedia.org/wiki/Cyclotron#/media/File:Cyclotron_patent.png https://en.wikipedia.org/wiki/Cyclotron#/media/File:Cyclotro... It has two semicircular parts A an B, that act like a big capacitor. The electrons travel in circles, sometime it's inside A and sometimes is in B. If the voltage between A and B is constant, it accelerates and the decelerates and then accelerates and the decelerates and then accelerates and the decelerates and then ... that is quite boring. The trick is that when it's inside A you make A negative and B positive, so it accelerates going from A to B. While the electron is inside B you switch the voltages and now B negative and A positive, so it accelerates going from B to A. Now, While the electron is inside A you switch the voltages and now A negative and B positive, so it accelerates going from A to B. ... So the trick to gain energy in both directions is to change the voltages of the semicircular parts. This change cost energy, so there is no magic creation of energy. Probably the article in Wikipedia explains it better.

gus_massa 2y ago

I tbink both of you agree! There are two solutions to gain the energy again from "the same" field. 1) Lost the energy it won in the last pass. 2) With the field to avoid losing the energy in the return trip.

MathMonkeyMan 2y ago
I interpreted mattashii's point as being this: You have a ring around which charged particles can travel. The voltage at the start is V, and the voltage just behind the start (the end) is defined to be zero. A charged particle "falls" down the potential until it gets to right before where it started. But then it will momentarily feel a large force in the opposite direction as it "climbs" back up to V from zero. I don't know how particle accelerators avoid this, but the wiki on cyclotrons refers to a "rapidly varying electric field."
- gus_massa 2y ago
  If all the other charges in the universe are fixed, then mattashii is right. The trick to undestand the Cyclotron is in the graphic: chttps://en.wikipedia.org/wiki/Cyclotron#/media/File:Cyclotron_patent.png https://en.wikipedia.org/wiki/Cyclotron#/media/File:Cyclotro... It has two semicircular parts A an B, that act like a big capacitor. The electrons travel in circles, sometime it's inside A and sometimes is in B. If the voltage between A and B is constant, it accelerates and the decelerates and then accelerates and the decelerates and then accelerates and the decelerates and then ... that is quite boring. The trick is that when it's inside A you make A negative and B positive, so it accelerates going from A to B. While the electron is inside B you switch the voltages and now B negative and A positive, so it accelerates going from B to A. Now, While the electron is inside A you switch the voltages and now A negative and B positive, so it accelerates going from A to B. ... So the trick to gain energy in both directions is to change the voltages of the semicircular parts. This change cost energy, so there is no magic creation of energy. Probably the article in Wikipedia explains it better.