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A circular metal loop of radius 10 cm and three long straight wires carry currents of and as shown in the figure. Each of the straight wires is 20 cm from the center of the loop. The axes are shown in the figure, with the +z-axis coming out of the paper. What is the z component of the resultant magnetic field at the center of the loop? (μ0 = 4π × 10-7 T ∙ m/A)
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