P30_011 - 11. Our x axis is along the wire with the origin...

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11. Our x axis is along the wire with the origin at the midpoint. The current flows in the positive x direction. All segments of the wire produce magnetic Felds at P 1 that are out of the page. According to the Biot-Savart law, the magnitude of the Feld any (inFnitesimal) segment produces at P 1 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 P 1 )and r (the length of that line) are functions of x . Replacing r with x 2 + R 2 and sin θ with R/r = R/ x 2 + R 2 ,w e
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