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On passing a changing current through a closed-current carrying conductor or an inductor, a magnetic field generates around it.
In simple terms, this changing current produces an additional current, i.e., an induced current.
This induced current creates an EMF that opposes the further change in the current. This opposing ability is what we call inductance.
When the inductance happens within the same coil, it is self-inductance.
However, if the current flow in the primary coil shows the inductance effect in the secondary coil, we call it mutual inductance.
This page discusses in-depth the types of inductance with their uses.
Electric Induction
When a current establishes in a closed conducting loop, it generates a magnetic field.
Further, this magnetic field generates flux (magnetic induction) in an area of the closed-loop.
So, when the current varies with time, the flux via the loop also changes.
Furthermore, this variation generates an induced EMF in the loop. We call this phenomenon self-induction.
Here, we note that the magnetic field at any point varies directly with the current. The magnetic flux in an enclosed area of the conductor is given as;
Φ ∝ i => Φ = L i
So, the more is the change in the current, the more in the flux generation.
Therefore, removing the sign of proportionality constant, we get “L,” which is the coefficient of self-inductance or simply self-inductance of the loop.
The inductance in the coil (Fig.1) depends on the following parameters:
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The number of turns,
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Area of cross-section, and
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The nature of the material of the core on which the coil is wrapped.
Inductance Definition
If i =1,
Φ = L x i
Or
L = Φ
We say that the coefficient of self-inductance is numerically equal to the amount of magnetic flux associated with the coil when unit current flows through it.
From Faraday’s law of induction, any change in the magnetic field induces an emf, which is given by,
E = – dΦ
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Categories: Physics
