Enter the inductive reactance and frequency into the calculator to determine the inductance. This calculator can also evaluate any of the variables given the others are known.
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Ohms To Henries Formula
The following formula is used to calculate inductance (in henries) from inductive reactance (in ohms) at a given frequency.
L = X_L / (2 * π * f)
Variables:
- L is the inductance in henries (H)
- XL is the inductive reactance in ohms (Ω)
- f is the frequency in hertz (Hz)
- π is the mathematical constant Pi (~3.14159)
| Inductance (H) | Reactance (Ω) |
|---|---|
| 0.000001 | 0.006 |
| 0.0000022 | 0.014 |
| 0.0000047 | 0.030 |
| 0.000010 | 0.063 |
| 0.000022 | 0.138 |
| 0.000033 | 0.207 |
| 0.000047 | 0.295 |
| 0.000068 | 0.427 |
| 0.000100 | 0.628 |
| 0.000220 | 1.382 |
| 0.000330 | 2.073 |
| 0.000470 | 2.953 |
| 0.000680 | 4.273 |
| 0.001000 | 6.283 |
| 0.002200 | 13.823 |
| 0.004700 | 29.531 |
| 0.010000 | 62.832 |
| 0.022000 | 138.230 |
| 0.047000 | 295.310 |
| 0.100000 | 628.319 |
| * Reactance rounded to 3 decimals. Uses XL = 2π f L with f = 1 kHz (inductive reactance increases linearly with frequency). | |
What Is an Ohms To Henries Calculation?
“Ohms to henries” typically refers to calculating inductance (in henries) from inductive reactance (measured in ohms) at a specific frequency. Since ohms and henries measure different electrical properties, you cannot convert plain resistance into inductance without additional context. For inductors, the key relationship is between inductive reactance, frequency, and inductance.
How to Calculate Ohms To Henries?
The following steps outline how to calculate the Ohms To Henries.
- First, determine the inductive reactance in ohms (XL).
- Next, determine the frequency in hertz (f).
- Next, use the formula from above: L = XL / (2 * π * f).
- Finally, calculate the inductance in henries (H).
- 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.
inductive reactance in ohms (XL) = 50
frequency in hertz (f) = 100
mathematical constant Pi (π ≈ 3.14159)
Solution: L = XL / (2πf) = 50 / (2π · 100) = 0.0796 H (≈ 79.6 mH).
