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

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Let us study a magnetic bottle with B(2) = Bo(1 + (2/ao)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
ao
ao
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+ (zm/ao)²))?
Please don't copy from chegg -.chegg answer is already wrong .so please request teacher give me
step by step and correct answer gives u B likes
Transcribed Image Text:Let us study a magnetic bottle with B(2) = Bo(1 + (2/ao)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 ao ao 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+ (zm/ao)²))? Please don't copy from chegg -.chegg answer is already wrong .so please request teacher give me step by step and correct answer gives u B likes
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