Welcome to the Henry To Ohms Calculator! This handy tool helps you determine the inductive reactance of a coil or inductor, expressed in ohms (Ω). By entering the inductance (in henrys) and frequency (in hertz), you can quickly calculate how much an inductor resists alternating current.
This calculator is designed for both students and professionals in electronics who want a fast, accurate way to convert inductance into ohms. You can jump straight into using it now, or continue reading to understand the formula, see a worked example, and explore the meaning of each parameter.
Understanding the Formula
The inductive reactance formula is:
XL = 2πfL
Where:
- XL: Inductive Reactance in Ohms (Ω)
- π: Pi (approximately 3.14159)
- f: Frequency in Hertz (Hz)
- L: Inductance in Henrys (H)
Another form of the formula is:
XL = ωL
Where:
- XL: Inductive Reactance in Ohms (Ω)
- ω: Angular Frequency in radians per second (rad/s)
- L: Inductance in Henrys (H)
The angular frequency itself is found using:
ω = 2πf
In simple terms, inductive reactance tells us how strongly an inductor resists alternating current, and this resistance grows with both frequency and inductance.
Parameters Explained
- Inductance (L): The ability of a coil to store energy in a magnetic field, measured in henrys (H). Larger coils or more turns usually mean higher inductance.
- Frequency (f): The rate of the alternating current signal, measured in hertz (Hz). Higher frequencies result in higher reactance.
- Inductive Reactance (XL): The effective resistance an inductor offers to alternating current, measured in ohms (Ω).
How to Use the Henry To Ohms Calculator — Step-by-Step Example
Let’s go through an example:
- Suppose you have an inductor with an inductance of 0.1 H.
- The frequency of the alternating current is 50 Hz.
- Apply the formula:
XL = 2 × π × f × L
XL = 2 × 3.14159 × 50 × 0.1
XL = 31.42 Ω
Result: The inductor has an inductive reactance of approximately 31.42 ohms at 50 Hz.
This means the inductor resists the alternating current at 50 Hz with about 31.42 ohms of opposition.
Additional Information
Here’s a quick reference table showing how inductive reactance changes with frequency for an inductance of 0.1 H:
| Frequency (Hz) | Inductive Reactance (Ω) |
|---|---|
| 10 | 6.28 |
| 50 | 31.42 |
| 100 | 62.83 |
| 500 | 314.16 |
| 1000 | 628.32 |
This highlights how dramatically inductive reactance increases as frequency rises.
FAQs
It helps you quickly calculate inductive reactance, saving time when designing or analyzing electrical circuits.
As frequency increases, the changing magnetic field inside the inductor resists current flow more strongly, leading to higher reactance.
No. Inductive reactance only applies to AC (alternating current). In DC circuits, an ideal inductor simply acts as a short circuit once steady-state is reached.