You and your team are designing a generator using a stationary bike to rotate a coil in a uniform magnetic field. The gearing is set up so that the coil rotates 60 times for one complete rotation of the bike pedals. Therefore, one revolution of the pedals per second results in a 60-Hz alternating current in the coil. The circular coil has 350 turns and a diameter of 15.0 cm, and its axis of rotation is along its diameter.

(a) If a uniform magnetic field is oriented perpendicular to the coil’s axis of rotation and has a magnitude of B = 0.225 T, what is the peak emf produced by the generator bike?

(b) What is the rms emf?

(c) To what magnitude should you reduce the fi eld if you want the rms emf to be 110 VAC?

(d) Instead of reducing the field, you could use a step-down transformer to reduce the rms emf to 110 VAC. What should be the ratio of primary to secondary turns of the transformer coils?