The inside of a DC motor looks like this. Let?s simplify the model of the motor

Question

The inside of a DC motor looks like this. Let?s simplify the model of the motor this way. Around the axle are 8 spokes with coils at the end of each spoke. Around the edge of the motor are 8 permanent magnets. Let the coil at the end of the spokes be made from 50 wire loops with an area of 0.5 cm^2. Let the permanent magnets produce a constant magnetic field of 0.2 T at the coils in front of them. Here is the diagram of this model. a. When a single coil rotates from one magnet to an adjacent magnet, by how much does the magnetic flux through that coil change? b. When the entire axle rotates from one magnet to an adjacent magnet over a time of 1 second, what is the induced voltage from the motor? Note that the coil turns alternate so that all of the voltages from all of the spokes add. Let?s say it takes 1.5 meters of 34 gauge (AWG) wire to form the loops in the coil and the wire is made of copper. Copper has a resistivity of 1.6 x 10^-8 ohm m. c. What is the resistance of the copper wire? d. When the entire axle rotates from one magnet to an adjacent magnet, what is the current produced in the coil wire if the rotation rate were equivalent to 600 rpm?

Explanation / Answer

The inside of a DC motor looks like this. Let?s simplify the model of the motor

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