A Rigid Rectangular Loop, Measuring $0.30 \mathrm {~m}$ By $0.40 \mathrm {~m}$

A rigid rectangular loop, measuring $0.30 \mathrm {~m}$ by $0.40 \mathrm {~m}$ , carries a current of $5.5 \mathrm {~A}$ , as shown in the figure. A uniform external magnetic field of magnitude $2.9 \mathrm {~T}$ in the $- x$ direction is present. Segment CD is in the $x z$ -plane and forms a $35 ^ { \circ }$ angle with the $z$ -axis, as shown. What is the magnitude of the torque that the magnetic field exerts on the loop?

A) $1.4 \mathrm {~N} \cdot \mathrm { m }$
B) $1.6 \mathrm {~N} \cdot \mathrm { m }$
C) $1.3 \mathrm {~N} \cdot \mathrm { m }$
D) $1.1 \mathrm {~N} \cdot \mathrm { m }$
E) $0.73 \mathrm {~N} \cdot \mathrm { m }$

Correct Answer:

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