An engineer tests a new magnetic flux sensor consisting of a two-dimensional square membrane, 6.30 cm on each side. The sensor measures the magnetic flux through the membrane. The engineer places the sensor so that it is parallel to and 3.90 cm above the xy-plane in the field region. The edges of the sensor are aligned to the positive x- and y-axes. The normal vector for the sensor's surface points straight up, parallel to the z-axis. To test the new sensor, the engineer sets up a region of magnetic field. The magnetic vector field is described by B = (0.0240 T-cm³) x² yî + (0.0550 T-cm-2) xyŷ - (0.399 T-cm³) xy² k What magnetic flux B does the sense sensor measure? 159 x 1.74 x10-6 ΦΒ Wb Incorrect

The magnetic coils of a tokamak fusion reactor are in the shape of a toroid having an inner radius of 0.700 m and an outer radius of 1.30 m. The toroid has 810 turns of large-diameter wire, each of which carries a current of 16.0 kA. (a) Find the magnitude of the magnetic field inside the toroid along the inner radius. (b) Find the magnitude of the magnetic field inside the toroid along the outer radius.

A uniform magnetic field passes through a horizontal circular wire loop at an angle 19.5° from the normal to the plane of the loop. The magnitude of the magnetic field is 4.75 T, and the radius of the wire loop is 0.240 m. Find the magnetic flux through the loop. $= Wb

During a transcranial magnetic stimulation (TMS) treatment, a magnetic field, typically of magnitude 5.00 T, is produced in the brain using external coils. During the treatment, the current in the coils (and hence the magnetic field in the brain) rises from zero to its peak in about 65.0 us . Assume that the magnetic field is uniform over a circular area of diameter 2.00 x 10-² m inside the brain. What is the magnitude of the average induced emf around this region of the brain during the treatment? average induced emf: V