P25_066 - 66. (a) We denote the surface charge density of...

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66. (a) We denote the surface charge density of the disk as σ 1 for 0 <r<R/ 2, and as σ 2 for R/ 2 <r<R . Thus the total charge on the disk is given by q = Z disk dq = Z R/ 2 0 2 πσ 1 rdr + Z R R/ 2 2 2 = π 4 R 2 ( σ 1 +3 σ 2 ) = π 4 (2 . 20 × 10 2 m) 2 [1 . 50 × 10 6 C / m 2 +3(8 . 00 × 10 7 C / m 2 )] =1 . 48 × 10 9 C . (b) We use Eq. 25-36: V ( z )= Z disk dV = k · Z R/ 2 0 σ 1 (2 πR 0 ) dR 0 z 2 + R 0 2 + Z R R/ 2 σ 2 (2 0 ) dR 0 z 2 + R 0 2 ¸ = σ
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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