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If there are more than one method that would be appraciated. Do we consider the change in flux for the first 1/4 of a turn as this will give the greatest change in flux linkage leading to the average induced voltage

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Final answer:

The change in flux in a circuit can lead to the average induced voltage. Multiple-loop coils and an iron ring can enhance the observation of induced emf in Faraday's apparatus. The equation emf = -N(dΦ/dt) expresses the relationship between induced emf, the number of turns in the coil, and the rate of change of magnetic flux.

Step-by-step explanation:

The change in flux in a circuit can lead to the average induced voltage. When there is a change in current in one coil, it induces an electromotive force (emf) in another coil.

This can be expressed using the equation emf = -N(dΦ/dt), where N is the number of turns in the coil and dΦ/dt is the rate of change of magnetic flux.

For example, in Faraday's apparatus with multiple-loop coils and an iron ring, the change in flux is enhanced. The multiple-loop coils allow for more turns, increasing the emf.

The presence of the iron ring helps to concentrate and contain the magnetic field, further enhancing the induction process.

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