Question

If we connect an inductor without ohmic resistance to the alternating voltage source, voltage should induce in the inductor because of the Faraday's law. Voltage is induced by changing magnetic flux through the inductor which is accomplished by alternating current through it. Therefore, in order for us to find the induced voltage, we need to know what that current is, I(t).

Which law defines this current?

Answer 1

The current in an inductor connected to an alternating voltage source is determined by Faraday's law of induction and Lenz's law, defining the relationship between changing magnetic flux and induced emf and their direction.

Step-by-step explanation:

The current in an inductor connected to an alternating voltage source is defined by Faraday's law of induction and Lenz's law. Faraday's law tells us that an electromotive force (emf) is induced in the loop due to a changing magnetic flux. Moreover, Lenz's law states that the direction of the induced emf and therefore the current will be such that it creates a magnetic field opposing the change that caused it. Therefore, the induced voltage in an inductor can be determined by Faraday's formula: emf = -N ΔΦ/Δt where 'emf' is the induced voltage, 'N' is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the change in time. When there's an alternating current (AC), this leads to a self-inductance effect, where the changing current induces a counter emf opposing the change in current, as given by: V = L(Δ8I/Δ8t).