The faster a magnet's rate of change is within a coil, the higher the loop's emf (voltage) will be. This describes which law?

Question

BlackTom AI · Accepted Answer

The question describes a relationship between the rate of change of magnetic flux in a coil and the induced emf (voltage) in that coil.
Since the prompt states that faster rate of change of the magnetic field within the coil yields a higher emf, this aligns with a fundamental electromagnetic principle.
Option-related reasoning cannot be evaluated here because the provided data shows an empty list for answer options, so we rely on physics concepts to identify the correct law.
First, consider Faraday’s law of electromagnetic induction: the induced emf in a circuit equals the negative rate of change of magnetic flux through the circuit, dΦ/dt, with the negative sign accounting for Lenz’s law (the direction of the induced current opposes the change in flux).
In other words, a faster change in magnetic flux (a larger |dΦ/dt|) produces a larger magnitude of emf, which matches the statement in the question.
If we imagine alternative laws (for example Ampère’s law relating magnetic fields to currents, or Ohm’s law relating voltage, current, and resistance), they describe different relationships that do not state a direct, monotonic link between the rate of change of magnetic flux and the induced emf in a coil as Faraday’s law does.
Lenz’s law is closely related and is often discussed as the negative sign in Faraday’s law, which determines the direction of the induced current rather than the magnitude of emf itself, though it is not a separate law from Faraday’s law.
The key misconception to avoid would be thinking the emf depends on something other than the rate of change of flux or assuming a fixed emf regardless of how quickly the flux changes; Faraday’s law makes clear that the magnitude scales with |dΦ/dt|.
In summary, the statement provided in the question reflects Faraday’s law of electromagnetic induction, since it ties the emf magnitude directly to how rapidly the magnetic flux through the coil is changing.

AMT&101 36393 Quiz #9 Basic Electricity

The faster a magnet's rate of change is within a coil, the higher the loop's emf (voltage) will be. This describes which law?

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