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Question:

What is an inductor and what do you think its resistance should be ?

and what do you think its should resistance be

Answer:

Anything that conducts electricity will be an inductor if it is exposed to a changing magnetic field. Some inductors are designed and built specifically for heating applications so having high resistance is a good thing. If induction is used in a transformer, then, to minimize electrical losses, want low resistance. So the answer is it depends.
An inductor is a hypothetical two terminal circuit element which produces a voltage across its terminals which is proportional to the rate of change of current through it. V L*di/dt the constant of proportionality L is called inductance. It is measured in henrys if the voltage is in volts and the current in amps. Usually we realise an inductor with a coil of wire. energy is stored in the magnetic field produced, which gives us this current/voltage relationship. But there are also other circuits which can have this behaviour: these are often very useful becuase inductors made with coils are usually large and heavy. Inductance circuits can be made with amplifiers and capacitors and resistors, so are much better. An ideal inductor has no resistance. An inductor made from a coil will have some resistance, unless it is made from a superconducting material! An inductor made from amplifier circuits and RC networks can sometimes have much better characteristics (more linear and much lower resistance) than an inductor made from a coil.
An inductor is a coil. It builds up an counter electromagnetic field that increases opposition to current flow as you increase current. The resistance is called inductance. It's variable depending on current pulled through it. Their good for things like filters because any spike in current is opposed by the built up field.
An inductor is a device that stores energy in a magnetic field. This can be a wire bent to be the shape of a coil. It has a feature called inductance which is separate from its resistance. Its resistance is simply the resistance of the wire used to make it - which is very low and ideally zero.

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