Magnetism157(c) At point P, 20122netIIBBBrrµπ=−+=−+( )7410TmA5.00 A5.00 A20.300 m0.200 mT out of pagenetB−×⋅1.67+=19.39The distance from each wire to point Pis given by ()2210.200 m0.200 m0.141 m2r=+=At point P, the magnitude of the magnetic field produced by each of the wires is ( )( )700TmA5.00A220.141 mIBr7.07 Tππ−===Carrying currents into the page, the field Aproduces at Pis directed to the left and down at –135°, while Bcreates a field to the right and down at – 45°. Carrying currents toward you, Cproduces 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 pairs, while the vertical components all add. The total field is then 4 7.07 T sin45.0
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