Choose inductive reactance, inductance, or frequency to solve using Xₗ = 2πfL for an ideal inductor, with H, mH, μH, Hz, kHz, and MHz units.
Inductance To Ohms Formula
The following formula calculates inductive reactance in ohms from inductance and sinusoidal frequency. Reactance is distinct from winding resistance.
Variables:
- X_L is the inductive reactance (ohms)
- f is the frequency (Hz)
- L is the inductance (H)
To calculate the inductive reactance, multiply the frequency by the inductance, then multiply the result by 2π. The result is the inductive reactance in ohms, which represents the opposition that an inductor presents to alternating current.
| Inductance | Frequency | Inductive Reactance (Ω) |
|---|---|---|
| 100 μH | 50 Hz | 0.031 |
| 1 mH | 50 Hz | 0.314 |
| 10 mH | 50 Hz | 3.142 |
| 100 mH | 50 Hz | 31.416 |
| 100 μH | 60 Hz | 0.038 |
| 1 mH | 60 Hz | 0.377 |
| 10 mH | 60 Hz | 3.770 |
| 100 mH | 60 Hz | 37.699 |
| 10 μH | 1 kHz | 0.063 |
| 100 μH | 1 kHz | 0.628 |
| 1 mH | 1 kHz | 6.283 |
| 10 mH | 1 kHz | 62.832 |
| 100 mH | 1 kHz | 628.319 |
| 10 μH | 10 kHz | 0.628 |
| 100 μH | 10 kHz | 6.283 |
| 1 mH | 10 kHz | 62.832 |
| 10 μH | 100 kHz | 6.283 |
| 100 μH | 100 kHz | 62.832 |
| 1 μH | 1 MHz | 6.283 |
| 10 μH | 1 MHz | 62.832 |
| *Formula: X_L = 2π f L. L in henries (H), f in hertz (Hz), X_L in ohms (Ω). | ||
What is Inductance To Ohms?
Inductance to ohms is a conversion that relates to electrical circuits. Inductance, measured in henries (H), is a property of an electrical circuit that opposes a change in the electric current. Ohms (Ω) measure resistance, reactance, and impedance. Inductive reactance is frequency-dependent and is not winding resistance or total circuit impedance. For an ideal linear inductor in sinusoidal steady state, Xₗ = 2πfL, where f is frequency and L is inductance.
How to Calculate Inductance To Ohms?
The following steps outline how to calculate the Inductance To Ohms using the formula X_L = 2πfL.
- First, determine the frequency (f) in hertz (Hz).
- Next, determine the inductance (L) in henries (H).
- Next, gather the formula from above = X_L = 2πfL.
- Finally, calculate the Inductive Reactance (X_L) in ohms (Ω).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
frequency (f) = 50 Hz
inductance (L) = 0.1 H
