SUMMARY
The force on an electron with a velocity of v = (2i – 3j) m/s in a magnetic field B = (0.8i + 0.6j – 0.4k) T is calculated using the equation F = qvBsinθ, resulting in a force of (1.92i + 1.28j + 5.77k) x 10^-13 N. The discussion highlights confusion regarding the sign of the force, as the electron's negative charge should theoretically yield a negative force vector. Participants emphasize the importance of showing work and verifying calculations with instructors to clarify any discrepancies.
PREREQUISITES
- Understanding of the Lorentz force equation F = qvBsinθ
- Knowledge of vector cross products in physics
- Familiarity with magnetic fields and their properties
- Basic principles of electromagnetism
NEXT STEPS
- Review vector cross product calculations in electromagnetism
- Study the implications of charge sign on force direction in magnetic fields
- Learn about the behavior of charged particles in magnetic fields
- Explore common mistakes in electromagnetism problem-solving
USEFUL FOR
Students studying electromagnetism, physics educators, and anyone seeking to understand the dynamics of charged particles in magnetic fields.