Final answer:
Faraday's law of induction specifies how an electric current is induced by a changing magnetic flux, while Lenz's law determines the direction of the induced current to oppose the change. The magnitude of induced emf is proportional to the rate of change of magnetic flux and the number of turns in the coil.
Step-by-step explanation:
Understanding Faraday's Law of Electromagnetic Induction With Lenz's Law
Faraday's law of electromagnetic induction states that an electric current is induced in a conducting loop when there is a change in magnetic flux through the loop. This law quantifies the induced electromotive force (emf) and is foundational to much of modern electrical technology. The magnitude of the induced emf is directly proportional to the change in magnetic flux (∆Δ) and inversely proportional to the change in time (∆t), as well as being directly proportional to the number of turns (N) in the coil.
Lenz's law refines Faraday's law by establishing the direction of this induced current. It states that the induced current will flow in such a way as to oppose the change in magnetic flux that produced it. This is a manifestation of the conservation of energy, ensuring that the system does not create energy out of nothing, thus complying with the conservation of energy principle.
To determine the direction of the induced emf whenever there is a change in magnetic flux, Lenz's law is applied. In practical applications, using Faraday's law in conjunction with Lenz's law, we can calculate the induced emf in electric circuits, such as coils and solenoids, which have wide-ranging implications in technology, from electric generators to transformers and inductors.