Three Very Long, Straight, Parallel Wires Each Carry Currents Of 4.0

Three very long, straight, parallel wires each carry currents of $4.0 \mathrm {~A}$ , directed out of the page as shown in the figure. These wires pass through the vertices of a right isosceles triangle as shown. Assume that all the quantities shown in the figure are accurate to two significant figures. What is the magnitude of the magnetic field at point $P$ at the midpoint of the hypotenuse of the triangle? ( $\left. \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right)$

A) $4.4 \mu \mathrm { T }$
B) $57 \mu \mathrm { T }$
C) $18 \mu T$
D) $130 \mu \mathrm { T }$
E) $1.8 \mu \mathrm { T }$

Correct Answer:

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