I'm having trouble understanding how a Dynamitron accelerator works.
I found this image online
Would anyone be able to explain how this system accelerates the electrons?
Thank you
Thank you for the reply. I corrected the formula for r, and I took your advice and related energy to momentum.
results:
r = \frac{p}{qB} = \frac{\gamma mv}{qB}
E^{2} = \left(pc\right)^{2} + \left(m_{0}c^{2}\right)^{2}
p = \frac{\sqrt{E^{2} - \left(m_{0}c^{2}\right)^{2}}}{c}
p =...
Homework Statement
15MeV electrons, enter magnetic field with strength of 0.7T. What is the radius of the path of the electrons? What energies could the electrons have and be confined to orbits with radii within 5% of the 15MeV electrons?
Homework Equations
E =...
Homework Statement
What is the energy loss in 3 mm of air (density = 1.20479E-03) of an electron with energy of 1.77MeV?
The Attempt at a Solution
I've found the Mass stopping power which is 1.696 MeV cm^2/g
and then linear stopping power of 2.04E^-3 MeV/cm
but from this point I'm stumped...
Homework Statement
An equilibrium ore mixture has an atomic ratio for \frac{U-235}{Pa-231} = 3.04x10^{6}
Find the half-life of U-235 from the data. The known half-life for Pa-231 is 3.28x10^{4} years
Homework Equations
For secular equilibrium
\frac{\lambda_{2} N_{2}}{\lambda_{1}...
Thanks for the hint, however I'm still really stumped on what to do next. I divided and squared both sides and I get this:
V_{g}^{2}(p^{2}c^{2}+m^{2}c^{4})=pc^{2}
I've tried subbing in p=mv and I get:
V_{g}^{2}(m^{2}v^{2}c^{2}+m^{2}c^{4})=mvc^{2}
Pull out an m and...
Homework Statement
In an electron wave, show that the group velocity = particle velocity of the electron
Homework Equations
E = p^{2}c^{2} + m^{2}c^{4}
The Attempt at a Solution
V_{g} = \frac{d\omega}{dk} = \frac{dE}{dp} = \frac{d}{dp} \sqrt{(p^{2}c^{2} + m^{2}c^{4})}
=\frac{1}{2}...