How to Calculate the Required Flux Density for Maximum Voltage Induction?

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SUMMARY

The discussion focuses on calculating the required flux density to induce a maximum voltage of 1V in a loop of wire with an area of 20 cm², rotated at 600 RPM within a uniform magnetic field. The relevant equations include the relationship between induced voltage and magnetic flux, specifically Vinduced = d(BAcos(θ))/dt. Participants emphasize the need to relate the angle θ to time to solve for the flux density B effectively.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the equations of magnetic flux and induced voltage
  • Knowledge of rotational motion and its relation to electromotive force
  • Basic calculus for differentiating functions
NEXT STEPS
  • Study the derivation of Faraday's Law of Electromagnetic Induction
  • Learn how to apply the formula Vinduced = d(BAcos(θ))/dt in practical scenarios
  • Explore the relationship between angular velocity and induced voltage in rotating systems
  • Investigate the effects of varying magnetic field strength on induced voltage
USEFUL FOR

Students and professionals in electrical engineering, physics enthusiasts, and anyone involved in designing electromagnetic systems or studying induction principles.

Kev1n
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1. A loop of wire between the poles of a magnet, the magnetic field is uniform between the poles. The are of the loop of wire within the field is 20cm sqaured. Determine the magnitude of flux density required to induce a mx voltage of 1v when the loop is rotated at 600rpm



2. B= Flux x A



3. I know A however can't figure out where to go next, any pointers please. I am not asking to be solved just pointers please
 
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Kev1n said:
1. A loop of wire between the poles of a magnet, the magnetic field is uniform between the poles. The are of the loop of wire within the field is 20cm sqaured. Determine the magnitude of flux density required to induce a mx voltage of 1v when the loop is rotated at 600rpm



2. B= Flux x A



3. I know A however can't figure out where to go next, any pointers please. I am not asking to be solved just pointers please

[tex]\frac{d\phi_m}{dt} = V_{induced}[/tex]
And
[tex]\phi_m = \int\limits_{A}^{}B}\, dA=BAcos(\theta)[/tex]

[tex]V_{induced}=\frac{d(BAcos(\theta))}{dt}[/tex]

You need to relate [tex]\theta[/tex] to time and use that last equation I gave you to solve for [tex]B[/tex]
 

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