Question

An electric generator contains a coil of 110 turns of wire, each forming a rectangular loop 46.4 cm by 32.8 cm. The coil is placed entirely in a uniform magnetic field with magnitude B = 4.49 T and initially perpendicular to the coil's plane. What is in volts the maximum value of the emf produced when the loop is spun at 863 rev/min about an axis perpendicular to the magnetic field?

Answer 1

Number of truns N = 110

Area A = 46.4 cm x 32.8 cm

            = 1521.92 cm 2

           = 0.152192 m 2

Magnetic field B = 4.49 T

Angular speed ω = 863 rev / min

                           = 863 x 2π rad / 60 s

                           = 90.37 rad / s

Maximum emf E = BANω

                           = 6793.13 volt