How is emf constant of flux linkage is increasing?

[CAH]

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?

 

[cnh1995]

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).