A Flat Rectangular Loop of Wire Carrying A $4.0$ -A Current Is Placed in a Uniform

Multiple Choice

A flat rectangular loop of wire carrying a $4.0$ -A current is placed in a uniform $0.60 - T$ magnetic field. The magnitude of the torque acting on this loop when the plane of the loop makes a $30 ^ { \circ }$ angle with the field is measured to be $1.1 \mathrm {~N} \cdot \mathrm { m }$ . What is the area of this loop?

A) $0.40 \mathrm {~m} ^ { 2 }$
B) $0.80 \mathrm {~m} ^ { 2 }$
C) $0.53 \mathrm {~m} ^ { 2 }$
D) $0.26 \mathrm {~m} ^ { 2 }$
E) $0.20 \mathrm {~m} ^ { 2 }$