SUMMARY
The cyclotron radius of a proton moving at 3.0 x 105 m/s in a magnetic field of 5 x 10-6T is calculated using the formula r = mv/qB. The correct calculation yields a radius of 625.5m, but the expected answer is .625m, indicating a potential error in the problem statement. The magnetic field value is significantly lower than typical cyclotron setups, suggesting a possible typographical error in the problem's parameters.
PREREQUISITES
- Understanding of cyclotron motion and its equations
- Familiarity with the concepts of magnetic fields and their units
- Basic knowledge of particle physics, specifically protons
- Proficiency in dimensional analysis and significant figures
NEXT STEPS
- Review the derivation of the cyclotron radius formula r = mv/qB
- Investigate typical magnetic field strengths used in cyclotron applications
- Learn about the significance of significant figures in scientific calculations
- Explore common errors in physics problem statements and how to identify them
USEFUL FOR
Students studying physics, particularly those focusing on electromagnetism and particle motion, as well as educators looking to clarify common misconceptions in cyclotron problems.