A rectangular loop of area 2.5 m ^2 lies flat in the x-z plane. A uniform magnetic field is applied in the region, given by B = (0.3 i - 0.4 j + 1.2 k ) T . The magnitude of the magnetic flux through the loop is:

Step-by-step solution

Since the rectangular loop lies in the x-z plane, its area vector is directed along the y-axis (perpendicular to the plane). Thus, the area vector can be written as A = 2.5 j m ^2 . The magnetic flux is the dot product of the magnetic field vector and the area vector: = B A = (0.3 i - 0.4 j + 1.2 k ) (2.5 j ) = (-0.4) 2.5 = -1.0 Wb The magnitude of the magnetic flux is 1.0 Wb . Answer: 1.0 Wb