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If you use a more magnetic material as the core you can get the magnetic field around the inductor to be pushed in towards the inductor giving it better inductance. By using a magnetic core the magnetic field will be much much much stronger.

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Inductor Basics Howstuffworks

How Inductors Work Howstuffworks
An inductor is a passive electrical device typically a conducting coil that introduces inductance into a electric circuit.

What is a inductor made up of. An inductor is usually made from a coil of conducting material like copper wire that is then wrapped around a core made from either air or a magnetic metal. Due to the property inducing emf all types of electrical coil can be referred as inductor. An inductor also called a coil choke or reactor is a passive two terminal electrical component that stores energy in a magnetic field when electric current flows through it.
The core could be just air or it could be a magnet. Simplest form of an inductor is made up of a coil of wire. An inductor is just a coil of wire around some kind of core.
When you apply a current through the inductor a magnetic field is created around it. An inductor is about as simple as an electronic component can get it is simply a coil of wire. An inductor is an energy storage device which stores energy in form of magnetic field.
The inner coil can be rotated using a shaft which changes the direction of the magnetic field lines created by that coil. The mutual induction between these two coils plays the entire role in varying the total inductance. An inductor typically consists of an insulated wire wound into a coil around a core.
It turns out however that a coil of wire can do some very interesting things because of the magnetic properties of a coil. The variometer is made up of two coils one inside the other connected in series having 11 ratio. The induced emf across the coil is directly proportional to the rate of change of current with respect to time.
It is basically a coil of wire with many winding often wound around a core made of a magnetic material like iron.

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