How is emf constant of flux linkage is increasing?

AI Thread Summary
The discussion clarifies that the electromotive force (emf) is not directly proportional to the total flux linkage but rather to the rate of change of that flux. When the flux linkage increases at a constant rate, the emf remains constant because it corresponds to the gradient of the flux linkage over time. This means that if the flux linkage graph has a constant gradient, the induced emf will also be constant. The key point is that a constant gradient indicates a steady rate of change, leading to a consistent emf. Understanding this relationship is crucial for analyzing electromagnetic induction.
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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