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Unformatted text preview: follows: ( ) 4 3 2 2 1 2 2 aR dr r a rdr ar A d J I R R = = = = r r . Problem 3: Consider a long straight cylindrical wire with radius R = 0.1 m is carrying the non-uniform current density which points along the axis of the wire and has a magnitude, J(r) = a/r , where r is the distance from the center axis of PHY2061 R. D. Field Solutions Chapter 29 Page 2 of 2 the wire. If a = 2 A/m , how much total current I passes through the wire ( in A )? Answer: 1.26 Solution: The current I is the &flux associated with the current density as follows: A m m A aR rdr r a A d J I R 26 . 1 ) 1 . )( / 2 ( 2 2 2 = = = = = r r ....
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