An engineer tests a new magnetic flux sensor consisting of a twodimensional square membrane, 8.30cm on each side. The sensor measures the magnetic flux through the membrane. The engineer places the sensor so that it is parallel to and 7.20cmabove the -plane in the field region. The edges of the sensor are aligned to the positive - and -axes. The normal vector for the sensor's surface points straight up, parallel to the-axis.To test the new sensor, the engineer sets up a region of magnetic field. The magnetic vector field is describedby

=(0.0180Tcm3)2+(0.0900Tcm2)(0.407Tcm3)2

What magnetic flux B does the sensormeasure?