Reactance And Frequency:
The inductive reactance is one of two types of reactance. (The other type will be dealt with in a little while.) In mathematical expressions, the reactance is represented by X. Inductive reactance is symbolized by XL.
When the frequency of an ac source is f (in hertz) and the inductance of a coil is L (in henrys), then the inductive reactance XL (in ohms) is
XL = 2πfL ≈ 6.2832fL
This similar formula exerts if the frequency f is in kilohertz and the inductance L is in millihenrys. It also exerts if f is in megahertz and L is in microhenrys. Recall that when frequency is in thousands, the inductance should be in thousandths, and when frequency is in millions, inductance must be in millionths.
Inductive reactance rises linearly with rising ac frequency. It means that the function of XL versus f is a straight line whenever graphed. Inductive reactance also increases linearly with inductance. Hence, the function of XL versus L also emerges as a straight line at graph. The value of XL is directly proportional to f; XL is also directly proportional to L. Such relationships are graphed, in relative form, as shown in figure below.
Figure: It is directly proportional to inductance, and also to frequency.