Let us study a magnetic bottle with B(2) = Bo(1+(z/a0)²) (sketch this field configuration!). Using conservation of energy and first adiabatic invariance, show that a particle (mass m), which is mirroring between points -Zm and zm, has a longitudinal velocity 2µBo v = where u is the magnetic moment. What is the particle velocity at the centre of the bottle (2 = 0, where B = Bo) and at the mirror points (2 = 2m and B = Bo(1+ (2m/ao)²))? %3D
Let us study a magnetic bottle with B(2) = Bo(1+(z/a0)²) (sketch this field configuration!). Using conservation of energy and first adiabatic invariance, show that a particle (mass m), which is mirroring between points -Zm and zm, has a longitudinal velocity 2µBo v = where u is the magnetic moment. What is the particle velocity at the centre of the bottle (2 = 0, where B = Bo) and at the mirror points (2 = 2m and B = Bo(1+ (2m/ao)²))? %3D
Related questions
Question
i need the answer quickly
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images