Generator connected to transformer- Find angular speed of coil

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SUMMARY

The discussion focuses on calculating the angular speed required for a generator with a circular coil of radius 0.2 meters, wrapped 10 times, in a magnetic field of 0.38 Tesla. The generator is connected to a transformer with 7 primary turns and 20 secondary turns, supplying a maximum current of 63 amps through an 8-ohm resistance. The relevant equations include the voltage transformation ratio and the maximum induced EMF, leading to the conclusion that the angular speed can be determined using the formula ξmax = N B A w.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with transformer equations and turns ratio
  • Knowledge of maximum induced EMF calculations
  • Basic proficiency in solving equations involving angular speed
NEXT STEPS
  • Study the derivation of the formula ξmax = N B A w
  • Explore the relationship between current, voltage, and resistance in circuits
  • Learn about the principles of transformers and their applications
  • Investigate the effects of varying coil turns on induced EMF
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Students in electrical engineering, physics enthusiasts, and anyone involved in generator and transformer design or analysis.

yankeekd25
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Homework Statement



A generator consists of a circular coil of radius 0.2 meters wrapped 10 times and is spun in a uniform magnetic field of 0.38 Tesla. It is connected (on the primary side) to a transformer with 7 turns on the primary side and 20 turns on the secondary side. If the secondary side is connected to a resistance of 8 ohms and a maximum current of 63 amps is required on the secondary side, at what angular speed should the coil be spun in the generator in rad/s?

Homework Equations



Vs =Ns/Np (Vp) or ξs =Ns/Np(ξp)
ξ= N B A w sin (wt), ξmax= N B A w

The Attempt at a Solution



What's the first step to solve this problem? Do I try to solve for the ξprimary which would also be equal to ξmax, since the maximum current is applied? Do I then use ξmax= N B A w to solve for w?
 
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You know the maximum output voltage as the loading resistance and the maximum current is given. From here, you can calculate the required angular speed of the generator by using the equations you cited.

ehild
 

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