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State  Faraday's law of magnetic induction.

Question

State  Faraday's law of magnetic induction.

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Solution

Faraday's Law of Magnetic Induction states that the electromotive force (EMF) induced in a circuit is directly proportional to the rate of change of magnetic flux through the circuit. The law is usually stated in the form of two equations:

  1. EMF = -dΦ/dt
  2. Φ = ∫B.dA

The first equation states that the induced EMF is equal to the negative rate of change of magnetic flux (Φ). The negative sign indicates that the induced EMF always works to oppose the change in magnetic flux that produced it, a concept known as Lenz's Law.

The second equation defines magnetic flux (Φ) as the integral of the magnetic field (B) over an area (A). This means that the magnetic flux through a surface is equal to the surface integral of the magnetic field passing through that surface.

In simpler terms, Faraday's Law of Magnetic Induction says that a change in the magnetic field within a loop of wire induces a voltage in the wire. This induced voltage can cause an electric current to flow in the wire, creating an induced magnetic field around the wire. This induced magnetic field will always work to oppose the change in the original magnetic field, according to Lenz's Law.

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