Lecture06 - PHYS 272: Matter and Interactions II - Electric...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 6 Slide 1 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ PHYSICS 272 Electric & Magnetic Interactions Lecture 6 E-field of distributed charges: rod, ring, disk, sphere [EMI 16.4-16.7]
Background image of page 1

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

View Full DocumentRight Arrow Icon
Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 6 Slide 2 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ General Procedure for Calculating Electric Field of Distributed Charges 1. Cut the charge distribution into pieces for which the field is known 2. Write an expression for the electric field due to one piece (i) Choose origin (ii) Write an expression for E and its components 3. Add up the contributions of all the pieces (i) Try to integrate symbolically (ii) If impossible – integrate numerically 4. Check the results: (i) Direction (ii) Units (iii) Special cases
Background image of page 2
Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 6 Slide 3 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ electric field at the “mid-line” location < x,0,0 > from a charged rod (Q) 0 y E i y i y y y y E E E E E , , 3 , 2 , 1 ... y y < x,0,0 > < 0,y i ,0 > E y 0 1 4  0 Q r r 2 L / 2 2 Cylindrical symmetry: replace x r E x 1 4 0 Q x x 2 L / 2 2 1 4 0 Q L x 1 x 2 y 2 3 2 dy L 2 L 2 E x 1 4 0 Q L x 1 x 2 y i 2 3 2 y i E x 1 4 0 Q L x y x 2 x 2 y 2 L 2 L 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 6 Slide 4 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ In vector form: E y 0 1 4  0 Q r r 2 L / 2 2 ˆ r Check the results: Direction: Units: Special case 1: r >> L: E y 0 1 4 0 Q r 2 ˆ r E of Uniformly Charged Thin Rod At center plane E y 0 1 4 0 2 Q / L r ˆ r 1/ r ! 1/ r 2 ! Special case 2: L >> r Q / L – linear charge density
Background image of page 4
Fall 2010 Prof. Yong Chen ( yongchen@purdue.edu ) Prof. Michael Manfra ( mmanfra@purdue.edu ) Lecture 6 Slide 5 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Origin: center of the ring Location of piece: described by , where = 0 is along the x axis.
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 29

Lecture06 - PHYS 272: Matter and Interactions II - Electric...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online