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Unformatted text preview: PHYS 153 Term 2, 200809 Homework 8B Mar. 16  20 Problem 1 A long, straight, solid cylinder, oriented with its axis in the zdirection, carries a current whose current density is J . The current density, although symmetrical about the cylinder axis, is not constant and varies according to the relationship J = b r e ( r a ) /δ ˆ k for r ≤ a = 0 for r ≥ a (1) where the radius of the cylinder is a = 5 . 00 cm, r is the radial distance from the cylinder axis, b is a constant equal to 600 A / m, and δ is a constant equal to 2 . 50 cm. (a) Let I be the total current passing through the entire cross section of the wire. Obtain an expression for I in terms of b , δ , and a . Evaluate your expression to obtain a numerical value for I . (b) Using Ampere’s law, derive an expression for the magnetic field B in the region r ≥ a . Express your answer in terms of I rather than b . (c) Obtain an expression for the current I contained in a circular cross section of radius r ≤ a and centered at the cylinder...
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 Spring '09
 BILLMCUTCHEON
 Physics, Current, Work, Magnetic Field, Electric charge

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