problem21_p102

University Physics with Modern Physics with Mastering Physics (11th Edition)

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21.102: a) σ R R π Q ) ( 2 2 2 2 - = = b) Recall the electric field of a disk, Eq. (21.11): [ ] So, . 1 ) ( 1 1 2 2 0 + - = x R ε σ E [ ] [ ] ( 29 ( 29 . ˆ 1 ) ( 1 1 ) ( 1 2 ) ( ˆ 1 ) ( 1 1 1 ) ( 1 1 2 ) ( 2 1 2 2 0 2 1 2 2 0 i i E x x x R x R ε σ x E x x x R x R ε σ x + - + × - = + - - + - = c) Note that + - + = + - ... 2 ) ( 1 ) ) ( 1 ( 1 ) ( 1 2 1 1 2 1 2 1 1 2 1 R x R x R x R x x R , ˆ 1 1 2 ˆ 2 ) ( 2 2 1 0 2 1 0 i i x x R R ε σ x x R x R x ε σ x E - = - = and sufficiently close means that
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