Question

An inventor generates electricity using a water wheel to rotate a loop of wire in the magnetic field of a set of neodymium magnets. The arrangement of magnets produces a uniform field of 0.35 T in the region of the square loop of wire. The wire is a square 20 cm on a side. There are 3 coils in the square loop of wires. The wire loop is geared to turn 150 times for each turn of the water wheel, which on the day in question is turning at a rate of 4 revolutions per minute.

A.) Write an expression for the emf generated by this generator.

B.) What is the time averaged power produced by this generator if the resistance in the circuit it powers is 2 Ohms?

C.) What is the direction of the magnetic field at the four labeled points?

Answer #1

The emf in the generator is

Power of the circuit is

Diagram needed here for part c. . Frequency (number of turns -150) of the coil is not required here as angular frequency is already given.

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