RCW5%20solutions

RCW5%20solutions - Physics 204, morning summer 2008...

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Physics 204, morning summer 2008 Recitation ClassWork 5 solutions Chapter 21 Conceptual Questions #4,5,7,13 Concepts & Calculations #79,80,84 4 . REASONING AND SOLUTION Suppose that the positive charge in Figure 21.10b were launched from the south pole toward the north pole, in a direction opposite to the magnetic field. Regardless of the strength of the magnetic field, the particle will always reach the north pole. Since the charge is launched directly opposite to the magnetic field, its velocity will be antiparallel to the field and have no component perpendicular to the field. Therefore, there will be no magnetic force on the particle. The particle will move at constant velocity from the south pole of the magnet to the north pole. 5 . REASONING AND SOLUTION Since the paths of the particles are perpendicular to the magnetic field, we know that the velocities of the particles are perpendicular to the field. Since the velocity of particle #2 is perpendicular to the magnetic field and it passes through the field undeflected, we can conclude that particle #2 is neutral. Particles #1 and #3 move in circular paths. The figure at the right shows the direction of the (centripetal) magnetic force that acts on the particles. If the fingers of the right hand are pointed into the page so that the thumb points in the direction of motion of particle #1, the palm of the hand points toward the center of the circular path traversed by the par- ticle. We can conclude, therefore, from RHR-1 that particle #1 is positively charged. If the fingers of the right hand are pointed into the page so that the thumb points in the direction of motion of F #1 #3 F particle #3, the palm of the hand points away from the center of the circular path traversed by the particle. We conclude, therefore, from RHR-1 that particle #3 is negatively charged.
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7 . REASONING AND SOLUTION The drawing shows a top view of four interconnected chambers. A negative charge is fired into chamber 1. By turning on separate magnetic fields in each chamber, the charge is made to exit from chamber 4. a. In each chamber the path of the particle is one- quarter of a circle. The drawing at the right also shows the direction of the centripetal force that must act on the particle in each chamber in order for the particle to traverse the path. The charged 1 2 3 4 v q F F F F particle can be made to move in a circular path by launching it into a region in which there exists a magnetic field that is perpendicular to the velocity of the particle.
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This note was uploaded on 10/04/2009 for the course PHYS 750:204 taught by Professor Rollino during the Spring '09 term at Rutgers.

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RCW5%20solutions - Physics 204, morning summer 2008...

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