A rectangular coil with sides 0.10 m by 0.25 m has 500 turns of wire. It is rotated about its long axis in a magnetic field of 0.58 T directed perpendicular to the rotation axis. At what frequency must the coil be rotated for it to generate a maximum potential of 110 V?

15.2 rad/s

Explanation:

A = Area of the rectangular coil

Area of the rectangular coil is given as

A = 0.10 x 0.25

A = 0.025 m²

B = magnetic field in the region = 0.58 T

N = Number of turns = 500

w = frequency at which coil must be rotated

E = maximum induced potential = 110 volts

Maximum induced potential is given as

E = N B A w

inserting the values

110 = (500) (0.58) (0.025) w

w = 15.2 rad/s