Inductance, Reactance, and Admittance Calculator

This calculator gives the reactance and admittance of an inductor or the inductance given the reactance of an inductor

Overview

This tool is designed to calculate the reactance and admittance of an inductor if its inductance and the frequency of the supply voltage is given. This calculator can also calculate the inductance of an inductor if the reactance and frequency of the supply voltage is known.

Note that the input inductance should be in nano henries (10^-9 H). You can select between Gigahertz (GHz) and Megahertz (MHz) for the input frequency.

Equations

$$X_{L} = 2 \pi f L$$

$$B_{L} = \frac{1}{X_{L}}$$

Where:

$$X_{L}$$ = inductive reactance in ohms (Ω)

$$B_{L}$$ = inductive admittance in siemens (S)

$$f$$ = frequency of the supply voltage (Hz)

$$L$$ = inductance (H)

Applications

An inductor is one of the three basic passive electrical components together with the resistor and the capacitor. Basically, an inductor stores energy in a magnetic field. It has a unique property that discourages current from rising up quickly. Because of this, the inductor is often used as surge current protectors for a lot of devices. 

The reactance of an inductor is its resistance to alternating current. As the formula above suggests, the higher the frequency of the supply voltage, the higher the reactance of an inductor. This means that an inductor can act like a short circuit to low frequencies and an open circuit to high frequencies. With the right combination of a resistor and/or a capacitor, the inductor can be used as a filter because of the frequency-dependence of its reactance. 

Further Reading

Textbook - Magnetic Field and Inductance: Inductors

Textbook - AC Inductor Circuits: Reactance and Impedance

Textbook - Susceptance and Admittance