{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

chapter19-1

# chapter19-1 - Magnetism 195 is the same as the pole on the...

This preview shows pages 1–3. Sign up to view the full content.

PROBLEM SOLUTIONS 19.1 Consider a three-dimensional coordinate system with the xy plane in the plane of this page, the + x -direction toward the right edge of the page and the + y -direction toward the top of the page. Then, the z -axis is perpendicular to the page with the + z -direction being upward, out of the page. The magnetic fi eld is directed in the + x -direction, toward the right. (a) When a proton (positively charged) moves in the + y -direction, the right-hand rule number 1 gives the direction of the magnetic force as into the page or in the z -direction . (b) With r v in the y -direction , the right-hand rule number 1 gives the direction of the force on the proton as out of the page, in the + -direction z . (c) When the proton moves in the + x -direction, parallel to the magnetic field, the magnitude of the magnetic force it experiences is F q B = ( ) = v sin 0 0 ° , or there is a zero force in this case . 19.2 (a) For a positively charged particle, the direction of the force is that predicted by the right-hand rule number one. These are: (a ) in plane of page and to left (b ) into the page (c ) out of the page (d ) in plane of page and toward the top (e ) into the page (f ) out of the page (b) For a negatively charged particle, the direction of the force is exactly opposite what the right-hand rule number 1 predicts for positive charges. Thus, the answers for part (b) are reversed from those given in part (a) . 19.3 Since the particle is positively charged, use the right-hand rule number 1. In this case, start with the fingers of the right hand in the direction of r v and the thumb pointing in the direction of r F . As you start closing the hand, the fingers point in the direction of r B after they have moved 90°. The results are (a) into the page (b) toward the right (c) toward bottom of page 19.4 Hold the right hand with the fingers in the direction of r v so that as you close your hand, the fingers move toward the direction of r B . The thumb will point in the direction of the force (and hence the deﬂection) if the particle has a positive charge. The results are (a) toward top of page (b) out of the page , since the charge is negative. (c) θ = ° 180 zero force (d) into the page

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
196 Chapter 19 19.5 (a) The proton experiences maximum force when it moves perpendicular to the magnetic field, and the magnitude of this maximum force is F q B max sin . . = = × ( ) × ( ) v 90 1 60 10 6 00 10 1 19 6 ° C m s . . 50 1 1 44 10 12 T N ( ) ( ) = × (b) a F m p max max . . = = × × = × 1 44 10 10 8 62 12 N 1.67 kg 27 10 14 m s 2 (c) Since the magnitude of the charge of an electron is the same as that of a proton, the force experienced by the electron would hav e the same magnitude , but would be in the opposite direction due to the negative charge of the electron. The acceleration of the elec- tron would be much greater than that of the proton because of the mass of the electron is much smaller.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern