Is the Gamma Factor Relevant for Accelerated Electrons?

  • Thread starter Thread starter flash
  • Start date Start date
  • Tags Tags
    Relativity
Click For Summary
SUMMARY

The discussion centers on the relevance of the gamma factor for electrons accelerated to energies of 100 MeV and 100 GeV. The gamma factor was calculated using the equation E = γm₀c², yielding results of 195 for 100 MeV and 195360 for 100 GeV, confirming the relativistic nature of these energies. Participants confirmed the correctness of both the formula and the results, establishing that relativistic effects are significant at these energy levels.

PREREQUISITES
  • Understanding of relativistic physics concepts
  • Familiarity with the equation E = γm₀c²
  • Basic knowledge of electron acceleration and energy levels
  • Awareness of relativistic effects in particle physics
NEXT STEPS
  • Study the implications of relativistic effects in particle accelerators
  • Learn about the Lorentz transformation and its applications
  • Explore the concept of rest mass versus relativistic mass
  • Investigate the role of gamma factor in high-energy physics experiments
USEFUL FOR

Physicists, students of particle physics, and anyone interested in the effects of relativity on high-energy electrons.

flash
Messages
66
Reaction score
0
Hi,

The problem is to determine whether or not relativistic effects are relevant for an electron accelerated to an energy of a) 100MeV and b) 100GeV. So I need to find the gamma factor of the electron in each of these cases.

I have used E = \gamma m_0 c^2 and solved for gamma = 195 in the first case and 195360 in the second case, which are definitely relativistic results.

However I'm not sure I'm using the right formula here. If someone could confirm this that would be great.
 
Physics news on Phys.org
it is correct formula, and result is also correct :-)
 
Excellent, thanks a lot.
 

Similar threads

Relativistic particle moving in a potential
  • · Replies 2 ·
Replies
2
Views
1K
Time since hot big bang - relativistic species
  • · Replies 1 ·
Replies
1
Views
1K
Anti-commutation of Dirac Spinor and Gamma-5
  • · Replies 1 ·
Replies
1
Views
4K
How Does a Relativistic Photon Rocket Calculate Acceleration and Speed?
  • · Replies 1 ·
Replies
1
Views
3K
Find the energy of a photon after this annihilation process
  • · Replies 14 ·
Replies
14
Views
4K
Spin-1 particle states as seen by different observers: Wigner rotation
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Correcting units from this physics paper?
  • · Replies 1 ·
Replies
1
Views
2K
How Does Acceleration Transform in Special Relativity?
  • · Replies 13 ·
Replies
13
Views
4K
Rutherford Scattering, relativistic
  • · Replies 1 ·
Replies
1
Views
3K
High School Is the gamma-factor for Tachyons real?
  • · Replies 13 ·
Replies
13
Views
2K