resistor design homework question

Hi Guys

For a homework question I have been asked to design a theoretical resistor, but I don't really know where to start and I cannot really get any help from my teacher as it is assessed and so no help can be given. The question is as follows...

Design a simple, compact and non-inductive 1k ohm resistor based on wire that is 20micro metres thick with a resistivity of 147.47 micro ohm centimetre. the wire is covered with a 5 micro metre layer of insulation with a relative permittivity of 2.3.

My first thoughts are that a resistor made with a straight wire will be far too long, but if i coil the wire then i will be creating a helical coil which will therefore be inductive and the question states it should be "non-inductive."

I can only think that some design that possibly cancels the inductiveness by reversing the coil directions could help, but apart from that i dont really have a clue.

If anyone could help in any way it would be greatly appreciated.

Hell if I know. But maybe this will help.

I remember reading years ago of a none-inductive wire wound resistor. Half of the wire was wound one direction to the end of the core and then made a u-turn with reverse wound

Design a simple, compact and non-inductive 1k ohm resistor based on wire that is 20micro metres thick with a resistivity of 147.47 micro ohm centimetre. the wire is covered with a 5 micro metre layer of insulation with a relative permittivity of 2.3.

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The limitation given makes it even harder.

If the resistor is wound on a conductive substrate (silver, copper, gold, aluminum) the substrate will act as a short circuited winding. It won't fully eliminate inductance, but it should be pretty effective at higher frequencies.