How is emf constant of flux linkage is increasing?

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SUMMARY

The discussion clarifies that the electromotive force (emf) is not directly proportional to the flux linkage but rather to the rate of change of flux. When the flux linkage increases at a constant rate, the induced emf remains constant because the derivative of a linear function (ramp function) is a constant value. This relationship is crucial for understanding electromagnetic induction principles, particularly in scenarios where flux linkage changes over time.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the concept of flux linkage
  • Knowledge of calculus, specifically derivatives
  • Basic grasp of graphing functions and their slopes
NEXT STEPS
  • Study Faraday's Law of Electromagnetic Induction
  • Learn about the relationship between flux and emf in AC circuits
  • Explore the concept of derivatives in calculus
  • Investigate applications of induced emf in electrical engineering
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetic induction and its applications in technology.

CAH
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how is this true? I get that it's the rate of change of flux, and if you have a graph of flux linkage against time, the gradient with a constant gradient then emf is constant since it IS the gradient... But how? If the flux linkage is increasing, why doesn't the emf?
 
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CAH said:
But how? If the flux linkage is increasing, why doesn't the emf?
Induced emf is not proportional to the flux linkage. It is proportional to the rate of change of flux. So, for a constant gradient of flux, emf induced will be constant w.r.t time since derivative of a ramp function is a constant (straight line with 0 slope).
 

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