lecture13 - PHYS 272: Matter and Interactions II - Electric...

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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lec13 Slide 1/24 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ PHYSICS 272 Lecture 13 Magnetic Fields [EMI 18.10-18.11] Announcement NO Lectures next week (but there will be labs)
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lec13 Slide 2/24 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ 1. Draw B for an arbitrary piece 2. Write an expression for B (2.1) Direction: Right-hand rule B got cancelled out; only consider B z (2.2) Magnitude: r B 0 4 I R ,0,0 0, R , z R 2 z 2 3/2 need only z component: B z 0 4 IR 2 R 2 z 2 3/2 B 0 4 I 0, zR , R 2 R 2 z 2 3/2
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lec13 Slide 3/24 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ 3. Add up all the pieces Direction of B-field is along the z-axis (right-hand rule for loops) Recall E-field of a ring 2 0 2 / 3 2 2 2 0 2 0 2 / 3 2 2 2 0 ) ( 4 ) ( 4 d z R IR z R d IR B z 2 / 3 2 2 2 0 ) ( 4 z R IR B z 2 / 3 2 2 2 0 ) ( 2 4 z R I R B loop
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lec13 Slide 4/24 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ 4. Check the result (4.1) Check the direction (4.2) Check the unit (4.3) When z >> R 2 / 3 2 2 2 0 ) ( 2 4 z R I R B loop 3 2 2 m C/s m m/s C m T T 3 2 0 2 4 z I R B
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Fall 2010 Prof. Yong Chen (
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lecture13 - PHYS 272: Matter and Interactions II - Electric...

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