Inductive Reactance Proof

February 22, 2018

Inductive reactance is a property exhibited by an inductor and inductive reactance exists based on the fact that an electric current produces a magnetic field around it. Derivation of inductive reactance.

Inductance Wikipedia

Inductive Reactance With Linear And Nonlinear L Source 11

Inductive Reactance Formula Derivation

Begingroup the magnitude of a reactance is the amplitude or rms value of the voltage divided by the amplitude or rms value of the current.

Inductive reactance proof. Inductive reactance is measured in ohms just like resistance and can be calculated with the following formula. Ac inductance and inductive reactance the opposition to current flow through an ac inductor is called inductive reactance and which depends lineally on the supply frequency inductors and chokes are basically coils or loops of wire that are either wound around a hollow tube former air cored or wound around some ferromagnetic material iron. By adding a capacitor 180 degrees out of phase with inductive load to the circuit that has a capacitive reactance equal to the inductive reactance of the motor you can cancel the phase shift.

The inductive hypothesis for weak induction would assume that for some arbitrary value of nagain lets use kthat the proposition holds. Oh and p is that magic mathematical constant you learned. Here the symbol x l represents the inductive reactance in ohms f represents the frequency of the signal in hertz cycles per second and l equals the inductance in henrys.

Here is where the difference between weak and strong induction presents itself most clearly as this step is the only difference between the two forms of inductive proof. In the context of an ac circuit although this concept applies any time current is changing this magnetic field is constantly changing as a result of current that oscillates. The effect by which the current flow of an alternating or changing current in an inductor is reduced is called its inductive reactance.

Also the current lags the voltage by 900. Please try again later. The important element to take from the proof is that the inductive reactance of an inductor is equal to the angular frequency times the inductance.

This feature is not available right now. Expressing this as an imaginary number takes care of the 90 degree phase difference between voltage and current but strictly the ratio of amplitudes is the reactance in ohms. Inductive reactance of a coil depends on the frequency of the applied voltage as reactance is directly proportional to frequency so far we have looked at the behaviour of inductors connected to dc supplies and hopefully by now we know that when a dc voltage is applied across an inductor the growth of the current through it is not instant but.

Previous page next page. Any changing current in an inductor will be impeded as a result of the inductance associated with it.

Inductive Reactance Reactance Of An Inductor