Two long, parallel, current-carrying wires lie in an xy-plane. The first wire lies on the line y = 0.320 m and carries a current of 30.0 A in the +x direction. The second wire lies along the x-axis. The wires exert attractive forces on each other, and the force per unit length on each wire is 290 µN/m. What is the y-value (in m) of the line in the xy-plane where the total magnetic field is zero?
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![\frac{\mu_o}{2\pi}[\frac{I_1}{0.320-r}-\frac{I_2}{r}]=0\\\\I_1r=I_2(0.320-r)\\\\r(I_1+I_2)=0.320I_2\\\\r=\frac{0.320I_2}{I_1+I_2}=\frac{0.320(15.46)}{15.46+30.0}=0.108m](/tpl/images/0641/4161/5e2a2.png)
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