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Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278

Solutions

Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278
Textbook Problem

Figure 28.11 shows a charged particle traveling in a nonuniform magnetic field forming a magnetic bottle. (a) Explain why the positively charged particle in the figure must be moving clockwise when viewed from the right of the figure. The particle travels along a helix whose radius decreases and whose pitch decreases as the particle moves into a stronger magnetic field. If the particle is moving to the right along the x axis, its velocity in this direction will be reduced to zero and it will be reflected from the right-hand side of the bottle, acting as a “magnetic mirror. ” The particle ends up bouncing back and forth between the ends of the bottle. (b) Explain qualitatively why the axial velocity is reduced to zero as the particle moves into the region of strong magnetic field at the end of the bottle. (c) Explain why the tangential velocity increases as the particle approaches the end of the bottle. (d) Explain why the orbiting particle has a magnetic dipole moment.

(a)

To determine
The reason for which the positively charged particle must be moving clockwise when viewed from the right side.

Explanation

The positively charged particle must be moving upward in order for the magnetic force on it acts in the plane that is along right on the x axis as the particle move in a helical path

(b)

To determine
The reason for which the axial velocity is reduced to zero as the particle moves into the region of strong magnetic field at the end of the bottle.

(c)

To determine
The reason for which the tangential velocity increases as the particle approaches the end of the bottle.

(d)

To determine

To reason: The orbiting particle has a magnetic dipole moment.

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