P24_048 - 48. (a) We consider the radial field produced at...

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Unformatted text preview: 48. (a) We consider the radial field produced at points within a uniform cylindrical distribution of charge. The volume enclosed by a Gaussian surface in this case is Lπr2 . Thus, Gauss’ law leads to E= |ρ| Lπr2 |qenc | |ρ|r = . = ε0 Acylinder ε0 (2πrL) 2 ε0 (b) We note from the above expression that the magnitude of the radial field grows with r. (c) Since the charged powder is negative, the field points radially inward. (d) The largest value of r which encloses charged material is rmax = R. 0.0011 C/m3 and R = 0.050 m, we obtain Emax = Therefore, with |ρ| = |ρ|R = 3.1 × 106 N/C . 2 ε0 (e) According to condition 1 mentioned in the problem, the field is high enough to produce an electrical discharge (at r = R). ...
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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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