How is emf constant of flux linkage is increasing?

In summary, induced emf is not directly proportional to the flux linkage, but rather to the rate of change of flux. This means that even if the flux linkage is increasing, the emf may remain constant if the gradient of the flux is constant. This is because the derivative of a ramp function (constant gradient) is a constant (straight line with 0 slope).
  • #1
CAH
48
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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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  • #2
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).
 

Related to How is emf constant of flux linkage is increasing?

1. How is EMF constant of flux linkage related to Faraday's Law?

EMF constant of flux linkage is directly related to Faraday's Law, which states that the induced EMF in a circuit is equal to the rate of change of magnetic flux through the circuit. This means that as the flux linkage increases, the induced EMF also increases.

2. What factors affect the increase of EMF constant of flux linkage?

There are several factors that can affect the increase of EMF constant of flux linkage, including the strength of the magnetic field, the number of turns in the coil, and the speed at which the magnetic field changes. Any change in these factors can result in an increase in the EMF constant of flux linkage.

3. How is the EMF constant of flux linkage calculated?

The EMF constant of flux linkage is calculated by multiplying the number of turns in the coil by the rate of change of magnetic flux. This can be represented by the equation E = N * dΦ/dt, where E is the induced EMF, N is the number of turns, and dΦ/dt is the rate of change of magnetic flux.

4. Can the EMF constant of flux linkage decrease?

Yes, the EMF constant of flux linkage can decrease if the factors that affect it are changed in a way that results in a decrease. For example, if the magnetic field becomes weaker or the speed of change decreases, the EMF constant of flux linkage will also decrease.

5. How does the increase of EMF constant of flux linkage affect electrical devices?

The increase of EMF constant of flux linkage can affect electrical devices in various ways. For instance, it can result in a higher voltage being induced in a transformer, which can be beneficial in stepping up voltage for long-distance transmission. However, it can also lead to overheating and damage in electronic components if not properly managed.

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