Question #314220

Two parallel straight wires 10.0 cm apart carry currents in opposite directions. Current I1 = 5.0 A is out of the page, and I2 = 7.0 A is into the page. Determine the magnitude and direction of the magnetic field halfway between the two wires.


1
Expert's answer
2022-03-20T18:51:27-0400

The net magnetic field

B=B1+B2=μ0I12πr1+μ0I22πr2B=B_1+B_2=\frac{\mu_0 I_1}{2\pi r_1}+\frac{\mu_0 I_2}{2\pi r_2}r1=r2=d/2r_1=r_2=d/2

B=μ0(I1+I2)πdB=\frac{\mu_0 (I_1+I_2)}{\pi d}

B=4π×107(5.0+7.0)π×0.10=4.8×105TB=\frac{4\pi\times 10^{-7} (5.0+7.0)}{\pi \times 0.10}=4.8\times 10^{-5}\:\rm T

The field is directed upward in the plane that is perpendicular to the plane where lying the wires.


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