An induction cooktop generates an alternating magnetic field B(t)=(0.25 T)cos??t. The field is normal to the cooktop and varies at a frequency of 25 kHz.
• Calculate the maximum emf induced in a pan modeled as a ring of radius 10 cm.
• If the wall of the pan has a resistance of 500 ?, what is the average power received by the pan? (for AC current in an ohmic conductor, the average dissipated power is 1/2 RI_max^2)