168CHAPTER 19 (b) Using 2012yyvtat+y∆=with 00yv=gives ()2220.50ms6.2 m syyta∆==0.40=19.63Label the wires 1, 2, and 3 as shown in Figure 1, and let BBrespectively represent the magnitudes of the fields produced by the currents in those wires. Also, observe that 123, , and B45θ=°in Figure 1. At point A, ( )022Iaµπor ( )710T m A2.0 A28 T20.010 m24πµ−×⋅=and ( )( )70410T m A13 T2320.030 mIa3Bππ−=These field contributions are oriented as shown in Figure 2. Observe that the horizontal components of 1and B2BGGcancel while their vertical components add to 3BG. The resultant field at point Ais then ( )3cos4553 TABB=+°+=, or 53 T directed toward the bA=BGottom of the page ±
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