Question

Show work to receive full credit. A human sized 'hamster wheel' of radius R= 6m is connected to a generator. The generator is made with a magnet producing 24000 Gauss magnetic field as a stator, 2000 coils of conductive wire with 4 cm² of area each for a rotor, wrapped around an iron core with relative permeability ?_R = 200. The generator doesn't have a commutator. The generator is connected to a 20 ohm heating element.

a. Draw a diagram

b. What is the angular velocity of the wheel if a person runs 3 m/s?

c.  Is this generator a dynamo or an alternator?

d. What is the amplitude of the voltage and frequency of AC output of the generator?

e. What is the power output?

f. Would changing the resistor to 2 ohms require more or less work to heat the element, assuming the runner maintains 3 m/s

Answer 1