Which of the following laws state that "The magnitude of the induced EMF in a circuit is equal to the time rate of change of magnetic flux through the circuit"?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Faraday's law.
The law that states, "The magnitude of the induced EMF in a circuit is equal to the time rate of change of magnetic flux through the circuit" is Faraday's Law of Electromagnetic Induction.
This fundamental law of electromagnetism, discovered by Michael Faraday, quantifies the relationship between a changing magnetic environment and the electric field it induces. Mathematically, it is expressed as:
ε = -dΦB/dt
where:
- ε represents the induced electromotive force (EMF) in volts.
- dΦB is the change in magnetic flux in Webers.
- dt is the change in time in seconds.
- The negative sign (from Lenz's Law, often incorporated into Faraday's Law) indicates that the induced EMF opposes the change in magnetic flux that produced it.
In simpler terms, if the amount of magnetic field lines passing through a loop of wire changes over time, a voltage (EMF) will be generated in that loop. The faster the change in the magnetic flux, the greater the magnitude of the induced EMF.