Non-inductive resistors are used in home entertainment, appliances, high voltage, high-switching, welders, power supplies, power tools, current sensing and consumer applications. DC circuits don’t have to worry about the inductance of a resistor since there isn’t any fluctuation in the current to create the altering magnetic fields, while when it comes to AC circuit, we need to take it into account.  
The induction of a resistor is a very important item to keep in mind when building a circuit, especially if you are dealing with switching or high frequency circuits. The construction of most resistors are very similar to that of an inductor. They take a specific length of wire or film, determined by the resistance value they are trying to achieve, and wrap it around a core made of ceramic, plastic, fiberglass, or another non-conductive material. A non-inductive resistor is wound one way then again in the other direction. This will cancel out the magnetic fields generated by each of the wires.
 
Most resistors are created in this same manner but with different materials. For example, film based resistors are using film instead of wire which has proved to be more precise. Ceramic and carbon composition, not to be confused with carbon film, are naturally non-inductive because they don’t have any windings.Wirewound technology has long been known as a leading technology for power resistor needs though it is inherently inductive. Known as Ayrton Perry winding, a non-inductively wound has one winding in one direction and one in the other direction.

 
A non-inductive resistor can be used to replace an inductive resistor, but that might not be a realistic goal. Inductive resistors are typically cheaper to construct and are more commonly made with higher power ratings.