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A Circular Metal Loop of Radius 10 Cm and Three I1=60 AI _ { 1 } = 60 \mathrm {~A}

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A circular metal loop of radius 10 cm and three long straight wires carry currents of I1=60 AI _ { 1 } = 60 \mathrm {~A} I2=20 A\mathrm { I } _ { 2 } = 20 \mathrm {~A} I3=70 AI _ { 3 } = 70 \mathrm {~A} and I4=30 AI _ { 4 } = 30 \mathrm {~A} 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)  A circular metal loop of radius 10 cm and three long straight wires carry currents of  I _ { 1 } = 60 \mathrm {~A}   \mathrm { I } _ { 2 } = 20 \mathrm {~A}   I _ { 3 } = 70 \mathrm {~A}  and  I _ { 4 } = 30 \mathrm {~A}  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? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A)  -360 μT B)  +360 μT C)  -40 μT D)  +40 μT E)  -170 μT

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