Magnetic Field of Rotating Coil

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SUMMARY

The discussion centers on calculating the magnetic field (B) produced by a 61-turn coil with a resistance of 194Ω and a cross-sectional area of 44.5m², utilizing a search coil to measure the total charge of 4.76E-4C during rotation in a magnetic field. The technique involves understanding the relationship between electromotive force (emf) and the change in magnetic flux, particularly when the coil transitions from a perpendicular to a parallel position relative to the magnetic field. Participants emphasize the importance of visual aids, such as drawings, to clarify the problem-solving process.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the formula for electromotive force (emf = -change in flux)
  • Knowledge of charge measurement and its relation to current and time
  • Basic skills in drawing and visualizing physics problems
NEXT STEPS
  • Research the calculation of magnetic flux for rotating coils
  • Learn about the application of Faraday's Law of Electromagnetic Induction
  • Explore the relationship between charge, current, and time in electrical circuits
  • Study the use of search coils in measuring magnetic fields
USEFUL FOR

Students in physics, educators teaching electromagnetism, and engineers working with electromagnetic devices will benefit from this discussion.

dukesolice
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Moved from a technical forum, so homework template missing
Magnetic field values are often determined by using a device known as a search coil. This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the motion of the coil or because of a change in the value of B. As a specific example, calculate B when a 61-turn coil of resistance 194Ω and cross-sectional area 44.5m2 produces the following results: A total charge of 4.76E-4C passes through the coil when it is rotated in a uniform field from a position where the plane of the coil is perpendicular to the field to a position where the coil's plane is parallel to the field.

I know the formula emf = -change in flux, but I don't know how to get the change in the area and how to use the charge given.
 
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Hello duke, :welcome:

This looks a lot like homework, so please post there and use the template ! Show what you've done so far and we'll help you.

In exchange: when the coil is parallel to the field, flux is zero.
And charge is the integral of current over time - the time needed to turn the coil !

A drawing helps immensely, too !
 

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