P30_013 - P 2 ) and r (the length of that line) are...

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13. Our x axis is along the wire with the origin at the right endpoint, and the current is in the positive x direction. All segments of the wire produce magnetic Felds at P 2 that are out of the page. According to the Biot-Savart law, the magnitude of the Feld any (inFnitesimal) segment produces at P 2 is given by dB = µ 0 i 4 π sin θ r 2 dx where θ (the angle between the segment and a line drawn from the segment to
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Unformatted text preview: P 2 ) and r (the length of that line) are functions of x . Replacing r with x 2 + R 2 and sin with R/r = R/ x 2 + R 2 , we integrate from x = L to x = 0. The total Feld is B = iR 4 Z L dx ( x 2 + R 2 ) 3 / 2 = iR 4 1 R 2 x ( x 2 + R 2 ) 1 / 2 L = i 4 R L L 2 + R 2 ....
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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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