Lecture07 - 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 ) Lecture 7 Slide 1 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ PHYSICS 272 Lecture 7 E-field of distributed charges: spheres Electric Potentials [EMI 16.7; 17.1-17.3]
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 7 Slide 2 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ At distance r from midpoint along a line perpendicular to the rod: E y 0 1 4  0 Q r r 2 L / 2 2 ˆ r For very long rod: E 1 4 0 2 Q / L r ˆ r Field at the ends: Numerical calculation Uniformly Charged Rod
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 7 Slide 3 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Far from the ring ( z >> R ) : Close to the ring ( z << R ) : E z 1 4  0 Qz R 3 E z ~ z 2 0 4 1 z Q E z E z ~1/ z 2 Uniformly Charged Thin Ring E z 1 4 0 Qz R 2 z 2 3/2
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 7 Slide 4 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Uniformly Charged Disk A R 2 E z ( Q / A ) 2 0 1 z R 2 z 2 1/2 Close to the disk (0 < z << R) E z ( Q / A ) 2 0 1 z R E z ( Q / A ) 2 0 If z / R is extremely small Very close to disk (0 < z << R)
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 7 Slide 5 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ E - E + E net s z 0 E 2 Q / A 0 E 1 E 3 Q / A 2 0 s R Inside: Fringe: Capacitor + Q - Q s Independent of z
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 7 Slide 6 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Field inside: E =0 Field outside: r r Q E ˆ 4 1 2 0  (like point charge) Uniform Spherical Shell of Charge Qualitative approach More Rigorous: Integration* or Gauss Law (later)
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Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 7 Slide 7 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/
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This note was uploaded on 02/02/2012 for the course STAT stat512 taught by Professor Libo during the Spring '11 term at Purdue North Central.

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Lecture07 - PHYS 272: Matter and Interactions II - Electric...

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