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# Lec-2 - Previous Lecture Coulomb's Law(vector form 1...

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Previous Lecture Coulomb’s Law (vector form) F 2on1 = 1 4 π± 0 q 1 q 2 ( r 1 r 2 ) | r 1 r 2 | 3 Field of a point charge at origin E = 1 4 π± 0 q r 3 r Principle of Superposition – p.

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Tricks of the Trade – p.
Tricks of the Trade Make approximations – p.

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Tricks of the Trade Make approximations Use symmetry – p.
Tricks of the Trade Make approximations Use symmetry Solve problems algebraically – p.

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Table of Integrals Z du a 2 + u 2 =ln ³ u + a 2 + u 2 ´ Z du a 2 + u 2 = 1 a tan 1 ³ u a ´ Z du ( a 2 + u 2 ) 3 / 2 = u a 2 a 2 + u 2 Z udu ( a 2 + u 2 ) 3 / 2 = 1 a 2 + u 2 – p.

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Table of Integrals Z dy p a 2 + y 2 =ln ³ y + p a 2 + y 2 ´ Z dy a 2 + y 2 = 1 a tan 1 ³ y a ´ Z dy ( a 2 + y 2 ) 3 / 2 = y a 2 p a 2 + y 2 Z ydy ( a 2 + y 2 ) 3 / 2 = 1 p a 2 + y 2 – p.

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Charge Density λ charge length line σ charge area surface ρ charge volume volume – p.
Field Lines – p.

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Next Recitation . . . Tomorrow you will talk about the fields of a ring, a disk, and a plane. Here I will just use the results. – p.
Field of a Charged Disk (compare Fig. 21.26) E = σ 2 ± 0 " 1 1 p ( R 2 /z 2 )+1 # ˆ k σ 2 ± 0 if R ± z (large plate) – p.

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Field of a Charged Disk

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Lec-2 - Previous Lecture Coulomb's Law(vector form 1...

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