Find alternators magnetic field?

AI Thread Summary
To design an alternator that charges a 12-V battery, a peak output of 16 V is required at a rotation speed of 1300 rpm with a 10-cm-diameter coil containing 250 turns. The discussion highlights confusion regarding the appropriate equations to use, particularly questioning the application of Gauss's Law for magnetic fields. Participants suggest researching the voltage produced by a rotating coil to gain clarity. The need for guidance on starting the calculations is emphasized. Understanding the relationship between rotation speed, coil turns, and magnetic field strength is crucial for the design.
jlmccart03
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Homework Statement


You're an electrical engineer designing an alternator (the generator that charges a car's battery). Mechanical engineers specify a 10-cm-diameter rotating coil, and you determine that you can fit 250 turns in this coil. To charge a 12-Vbattery, you need a peak output of 16 V when the alternator is rotating at 1300 rpm.

What do you specify for the alternator's magnetic field? HINT: Notice that the rotation rate of the coil is given in revs per minutes, not revs per second.

Homework Equations


I think Guass Law for B fields?

The Attempt at a Solution


I really do not know where to start. I am in general confused on what form of equation I should be using. I want to say using gauss's Law for B fields, but I can't come up with a definitive solution. Any guidance would be appreciated.
 

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