{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture13_Kim-s

Lecture13_Kim-s - Lecture 13-1 Lecture 13-2 Right-Hand Rule...

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

View Full Document Right Arrow Icon
1 Lecture 13-1 Chapter 26 The Magnetic Field 26-2 Motion of a Point Charge in a Magnetic Field 26-3 Torques on Current Loops and Magnets 26-4 The Hall Effect Lecture 13-2 Right-Hand Rule for (Review) F qv B = × combarrowextenderarrowrightnosp arrowrightnosp combarrowextenderarrowrightnosp Lecture 13-3 Charged Particle Entering Uniform Magnetic Field B (1) . mv r const qB qB v r m = = = Constant speed circular motion v B arrowrightnosp combarrowextenderarrowrightnosp Mass spectrometer 2 v qB F ma qvB m v r r m = = = Lecture 13-4 Charged Particle Entering Uniform Magnetic Field B (2) 2 2 2 v qB f r m qB f m π π ϖ π = = = = Cyclotron frequency head2right proportional to B head2right proportional to q/m head2right independent of v 1 2 m T f qB π = = Cyclotron period Mass spectrometer 2 2 1 1 2 2 qBr mv m q V m = = 2 2 2 m B r q V = 2 v qB F ma qvB m v r r m = = =
Image of page 1

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

View Full Document Right Arrow Icon
2 Lecture 13-5 Example: Proton in B Field Consider a region of uniform magnetic field (green dots) coming out of the page with magnitude B = 1.2 mT. A proton with kinetic energy K = 8.48 10 -13 J enters the field, moving vertically from the bottom to the top. Question: Calculate the magnetic deflecting force on the proton. Answer: Use F = qvB sin θ . First, figure out the velocity v . K = 1 2 mv 2 v = 2 K m v = 2 8.48 10 - 13 J ( 29 1.67 10 - 27 kg = 3.2 10 7 m/s Lecture 13-6 Direction of F : Use Right Hand Rule Example: Proton in B Field (2) Small force but large acceleration for light particle ( 29( 29( 29 19 7 3 15 15 12 2 27 sin 1.60 10 C 3.2 10 m/s 1.2 10 T sin90 6.1 10 N 6.1 10 N 3.7 10 m/s 1.67 10 kg F qvB F F F a m θ - - - - - = = ° = = = = Angle between B -field direction and velocity of the proton: θ=90 deg Lecture 13-7 Cyclotron "Dees" in constant magnetic field B Alternating voltage V is applied between the Dees at the orbital frequency f : "Magnetic Resonance Accelerator" π π ϖ 2 2 B m q f c c = =
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern