Question

The magnitude of induced emf is directly proportional to the rate of change of __________ linked with the circuit.

Answer 1

Hint:The energy per unit electric charge imparted by an energy source, such as an electric motor or a battery, is known as electromotive force (abbreviated E or emf). The property of any energy source capable of driving electric charge through a circuit is electromotive force.

Complete answer:
When the magnetic field through a coil of wire changes in time, an emf is generated around the loop, as Faraday discovered. Since the emf causes a current to circulate in the loop, he was able to observe this impact. He discovered that the emf's amplitude is equal to the magnetic field's time rate of change.

He also discovered that when a loop of wire moves from a low magnetic field strength to a high magnetic field strength, an emf is created, and vice versa. The emf is proportional to the loop's velocity as it travels through the two regions.

Finally, Faraday discovered that an electromagnetic field is created by a circle rotating in a uniform magnetic field of constant power. The emf is directly proportional to the rate at which the loop rotates in this situation. He was finally able to come up with a single rule that could account for all of his discoveries.

The law of magnetic induction, also known as Faraday's law, is as follows:
-The emf induced in a circuit is proportional to the time rate of change of the magnetic flux linking that circuit.
-Since the SI units have been fixed, the proportionality constant in this law is unity. Thus, if the magnetic flux through a circuit varies by $d\Phi $ over a time interval $dt$, the emf provided in the circuit is $\varepsilon $.
$\varepsilon = \dfrac{{d\Phi }}{{dt}}$

Note:The magnetic flux that connects an electric circuit will vary in a variety of ways. The intensity of the magnetic field, the direction of the magnetic field, the location of the circuit, the form of the circuit, or the orientation of the circuit all have the potential to alter. According to Faraday's theorem, both of these methods are absolutely equal in terms of generating an emf along the circuit.