Find alternators magnetic field?

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SUMMARY

The discussion centers on determining the required magnetic field for an alternator designed to charge a 12-volt battery using a 10-cm-diameter rotating coil with 250 turns, operating at 1300 rpm. To achieve a peak output of 16 volts, the application of Gauss's Law for magnetic fields is suggested as a foundational approach. Participants express confusion regarding the appropriate equations and methodologies for calculating the magnetic field strength necessary for this alternator design. Clear guidance on the relationship between coil rotation and induced voltage is sought.

PREREQUISITES
  • Understanding of Gauss's Law for magnetic fields
  • Knowledge of electromagnetic induction principles
  • Familiarity with alternator design specifications
  • Basic electrical engineering concepts related to voltage and current
NEXT STEPS
  • Research the application of Gauss's Law in calculating magnetic fields
  • Study the principles of electromagnetic induction and Faraday's Law
  • Explore the design parameters of alternators, including coil dimensions and turns
  • Investigate the relationship between rotational speed and induced voltage in coils
USEFUL FOR

Electrical engineers, students studying electromagnetism, and anyone involved in alternator design and optimization will benefit from this discussion.

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 Gauss 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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