- #1
michael650
- 5
- 0
I have a velocity selector that consists of two parallel plate capacitors each with a diameter of 20cm (L), and a distance between them d. The capacitors are connected to a power source that delivers a voltage V. A magnetic field goes into the selector and has a strength B. Given that d can be from 1mm to 10mm, B can be from 0 to 2Teslas, and there is a maximum voltage that the battery can put out (0V to Vmax). With these parameters, I need to find the range of velocities that I can get out of a proton put into the velocity selector.
Vmax = ( eB2Ld ) / ( mp )
vx = V/Bd
I have been working on this problem for a good few days now, and I've put in a tremendous amount of effort. It took me a long time to calculate the maximum voltage (which is 7.65x105 V. With all the given parameters, and the second equation, I figured I would be able to find the range of velocities easily, but I was wrong. I noticed that I can get a velocity anywhere from 0 mps to an infinitely large one when insertting an incredibly small value for B (1x10-30 Teslas). The numbers of this problem do not need to be realistic, they just have to work out mathematically
Vmax = ( eB2Ld ) / ( mp )
vx = V/Bd
I have been working on this problem for a good few days now, and I've put in a tremendous amount of effort. It took me a long time to calculate the maximum voltage (which is 7.65x105 V. With all the given parameters, and the second equation, I figured I would be able to find the range of velocities easily, but I was wrong. I noticed that I can get a velocity anywhere from 0 mps to an infinitely large one when insertting an incredibly small value for B (1x10-30 Teslas). The numbers of this problem do not need to be realistic, they just have to work out mathematically