- #1
Cookyt
- 1
- 0
I'm setting up an experiment where I have a circular cathode releasing electrons to an outer circular anode. The tube is inside an induction coil, and when turned on, the coil provides a magnetic force on the electrons causing them to go into uniform circular motion.
The purpose of my experiment is to measure the radius of the electron beam, and use it to calculate the mass of an electron; however, the results range anywhere from a 8% to a 2000% difference. I charted a graph of radius vs magnetic field using the equation:
r = (1/B) * [tex]\sqrt{}(2Vm/q)[/tex]
r is the radius
B is the magnetic field
V is the potential difference between my cathode and anode
m is the mass of an electron
q is the charge of an electron.
this was derived from the two equations:
qveB = m(ve2/r)
qV = (1/2)mve2
where ve is the velocity of an electron
my r values are incredibly small (fractions of a cm) when I use this equation, and I'm all out of ideas. Can anyone see the flaws in my reasoning?
The purpose of my experiment is to measure the radius of the electron beam, and use it to calculate the mass of an electron; however, the results range anywhere from a 8% to a 2000% difference. I charted a graph of radius vs magnetic field using the equation:
r = (1/B) * [tex]\sqrt{}(2Vm/q)[/tex]
r is the radius
B is the magnetic field
V is the potential difference between my cathode and anode
m is the mass of an electron
q is the charge of an electron.
this was derived from the two equations:
qveB = m(ve2/r)
qV = (1/2)mve2
where ve is the velocity of an electron
my r values are incredibly small (fractions of a cm) when I use this equation, and I'm all out of ideas. Can anyone see the flaws in my reasoning?