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17_Ch 19 College Physics ProblemCH19 Magnetism

17_Ch 19 College Physics ProblemCH19 Magnetism - 157...

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Magnetism 157 (c) At point P , 2 0 1 2 1 2 1 2 2 net I I B B B r r µ π = − + = + ( ) 7 4 10 T m A 5.00 A 5.00 A 2 0.300 m 0.200 m T out of page net B π µ × 1.67 π = + = 19.39 The distance from each wire to point P is given by ( ) ( ) 2 2 1 0.200 m 0.200 m 0.141 m 2 r = + = At point P , the magnitude of the magnetic field produced by each of the wires is ( ) ( ) ( ) 7 0 4 10 T m A 5.00 A 2 2 0.141 m I B r π µ 7.07 T µ π π × = = ( ) = Carrying currents into the page, the field A produces at P is directed to the left and down at –135°, while B creates a field to the right and down at – 45°. Carrying currents toward you, C produces a field downward and to the right at – 45°, while D ’s contribution is downward and to the left. The horizontal components of these equal magnitude contributions cancel in
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