on . Posted in Electromagnetism

Faraday's law of Induction describes the relationship between a changing magnetic field and the induced electromotive force (EMF) or voltage in a conducting loop or coil.  It is one of the fundamental principles of electromagnetism and plays a crucial role in the operation of electric generators, transformers, and many other electrical devices.

The negative sign indicates that the induced EMF or voltage creates a current that opposes the change in the magnetic field, according to Lenz's law.  This law implies that when the magnetic field passing through a conducting loop or coil changes, an induced current is generated in the conductor.  The induced current and associated EMF are proportional to the rate at which the magnetic field changes.

Faraday's law of Induction forms the basis for various applications, such as electric power generation in generators, electromagnetic induction in transformers, and the functioning of many electrical devices.  It is a fundamental principle in understanding and analyzing electromagnetic phenomena and is an essential concept in the field of electromagnetism.

### Faraday's Law of Induction formula

$$\epsilon = - N \; (\; \Delta \Phi \;/\; \Delta t \;)$$     (Faraday's Law of Induction)

$$N = - \;(\; \epsilon \; \Delta T \;/\; \Delta \phi \;)$$

$$\Delta \Phi = - \;(\; \epsilon \; \Delta T \;/\; N \;)$$

$$\Delta t = - \; [ \; \Delta \Phi \;/\; ( \epsilon \;/\; N )\; ]$$

Symbol English Metric
$$\epsilon$$ (Greek symbol epsilon) = Induced EMF or Voltage $$V$$ $$V$$
$$N$$ = Number of Loops $$dimensionless$$ $$dimensionless$$
$$\Delta \Phi$$ (Greek symbol Phi) = Change in Magnetic Flux  $$V\;/\;sec$$ $$Wb$$
$$\Delta t$$ = Change in Time $$sec$$ $$s$$