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Because of their magnetic field tends to be a conserbative field.
If you conect a volatge source in series with the inductor, that act like a pasive device, it takes the current and form a magnetic field that grows, that you can see as a opposition of a change in current.
The other case is when there a a source conected to the inductor and there are a magnetic field, and you cut the source, the energy in the magnetic field colapses and the inductor delivers, now act like a active device, energy in the form of current.
The law of faraday describe the behaviour of the inductor V = L di/dt
Inductance (measured in henries) is an effect which results from the magnetic field that forms around a current carrying conductor. Electrical current through the conductor creates a magnetic flux proportional to the current. A change in this current creates a change in magnetic flux that, in turn, generates an electromotive force (emf) that acts to oppose this change in current. Inductance is a measure of the generated emf for a unit change in current. For example, an inductor with an inductance of 1 henry produces an emf of 1 V when the current through the inductor changes at the rate of 1 ampere per second. The inductance of a conductor is increased by coiling the conductor such that the magnetic flux encloses (links) all of the coils (turns). Additionally, the magnetic flux linking these turns can be increased by coiling the conductor around a material with a high permeability.
because the induced current (which is produced due to back emf which is produced due to rate of chage of magnetic flux) opposes the abrupt change in current
An inductor is a passive electrical device employed in electrical circuits for its property of inductance. An inductor can take many forms.
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Overview
Inductance (measured in henries) is an effect which results from the magnetic field that forms around a current carrying conductor. Electrical current through the conductor creates a magnetic flux proportional to the current. A change in this current creates a change in magnetic flux that, in turn, generates an electromotive force (emf) that acts to oppose this change in current. Inductance is a measure of the generated emf for a unit change in current. For example, an inductor with an inductance of 1 henry produces an emf of 1 V when the current through the inductor changes at the rate of 1 ampere per second. The inductance of a conductor is increased by coiling the conductor such that the magnetic flux encloses (links) all of the coils (turns). Additionally, the magnetic flux linking these turns can be increased by coiling the conductor around a material with a high permeability.
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