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? (μ₀ = 4π × 10^-7 T ∙ m/A) $A circular metal loop of radius 10 cm and three long straight wires carry currents of I _ { 1 } = 60 \mathrm {~A} \mathrm { I } _ { 2 } = 20 \mathrm {~A} I _ { 3 } = 70 \mathrm {~A} and I _ { 4 } = 30 \mathrm {~A} as shown in the figure. Each of the straight wires is 20 cm from the center of the loop. The axes are shown in the figure, with the +z-axis coming out of the paper. What is the z component of the resultant magnetic field at the center of the loop? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A) A) -360 μT B) +360 μT C) -40 μT D) +40 μT E) -170 μT$
A) -360 μT
B) +360 μT
C) -40 μT
D) +40 μT
E) -170 μT

A Ring with a Clockwise Current (As Viewed from Above

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