Recent content by doanta

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 =...

Would this work also? V_{g} = \frac{d\omega}{dk} = \frac{dE}{dp} = \frac{d}{dp} \frac{p^{2}}{2m} =\frac{1}{2m} \frac{d}{dp} p^{2} =\frac{1}{2m} 2p =\frac{p}{m} =\frac{mv}{m} =v

Sorry, what's \gamma? I've always learned that Momentum = Mass*Velocity?

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}...