What is the strength of the magnetic field

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SUMMARY

The strength of the magnetic field in an AC generator can be calculated using the formula E = N * n * φ, where E is the electromotive force (emf), N is the number of turns, n is the rotational speed in revolutions per minute (rpm), and φ is the magnetic flux in Webers. In this case, the armature has 49 turns and rotates at 382 rpm, resulting in a magnetic flux of 18.35 Webers. To convert this to Tesla, one must use the relationship 1 T = 1 Wb/m², which requires knowing the area of the coil.

PREREQUISITES
  • Understanding of electromotive force (emf) in AC generators
  • Familiarity with the concepts of magnetic flux and flux density
  • Knowledge of unit conversions between Webers and Teslas
  • Basic principles of circular motion and rotational speed
NEXT STEPS
  • Learn how to calculate the area of a circular coil to find flux density
  • Study the relationship between magnetic flux and magnetic field strength
  • Explore the principles of electromagnetic induction in AC generators
  • Review unit conversion techniques for electromagnetic units
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Students studying electrical engineering, physics enthusiasts, and anyone seeking to understand the principles of AC generators and magnetic fields.

warrior2014
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Homework Statement



The armature of an ac generator is a circular coil with 49 turns and radius 3.1 cm. When the armature rotates at 382rpm, the amplitude of the emf in the coil is 17.0 V. What is the strength of the magnetic field (assumed to be uniform) ?

Homework Equations


E = N.n.phi


The Attempt at a Solution


I solved for phi and got 18.35 (Webers) Wb. But, I need the answer in Tesla (T) and I am unsure how to do this. Please help!
 
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A Weber is a unit of flux whereas a Tesla is a unit of flux density
 
hi warrior2014! :smile:
warrior2014 said:
I solved for phi and got 18.35 (Webers) Wb. But, I need the answer in Tesla (T) and I am unsure how to do this. Please help!

hint: learn your electric units

1 T = 1 Wb/m2 :wink:
 

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