Convert capacitance in farads to capacitive reactance in ohms using AC frequency, or solve for capacitance or frequency with common electrical units.
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Farads To Ohms Formula
The following formula gives the magnitude of ideal capacitive reactance in ohms at a positive AC frequency. Complex impedance is Z = โj|Xc|, not a pure resistance.
Variables:
- |Xc| is capacitive reactance magnitude in ohms (ฮฉ).
- C is the capacitance in farads (F)
- f is the frequency in hertz (Hz)
- ฯ is the mathematical constant pi (~3.14159)
Multiply capacitance in farads by frequency in hertz and by 2ฯ, then take the reciprocal to obtain ideal reactance magnitude in ohms. ESR and parasitic inductance are not included.
| Capacitance (C) | Frequency (Hz) | Impedance |Xc| (ฮฉ) |
|---|---|---|
| 1 pF | 1,000 | 159,154,943.092 |
| 10 pF | 1,000 | 15,915,494.309 |
| 100 pF | 1,000 | 1,591,549.431 |
| 220 pF | 1,000 | 723,431.560 |
| 470 pF | 1,000 | 338,627.538 |
| 1 nF | 1,000 | 159,154.943 |
| 2.2 nF | 1,000 | 72,343.156 |
| 4.7 nF | 1,000 | 33,862.754 |
| 10 nF | 1,000 | 15,915.494 |
| 22 nF | 1,000 | 7,234.316 |
| 47 nF | 1,000 | 3,386.275 |
| 100 nF | 1,000 | 1,591.549 |
| 220 nF | 1,000 | 723.432 |
| 470 nF | 1,000 | 338.628 |
| 1 ยตF | 1,000 | 159.155 |
| 2.2 ยตF | 1,000 | 72.343 |
| 4.7 ยตF | 1,000 | 33.863 |
| 10 ยตF | 1,000 | 15.915 |
| 47 ยตF | 1,000 | 3.386 |
| 100 ยตF | 1,000 | 1.592 |
| * Rounded to 3 decimals. Formula: |Xc| = 1/(2ฯ f C). Values shown at f = 1 kHz. | ||
What is Farads To Ohms?
Farads and ohms are units of measurement used in electrical circuits, but they measure different aspects. Farads measure capacitance, which is the ability of a component to store an electrical charge. Ohms, on the other hand, measure resistance, which is the degree to which a component resists the flow of electrical current. Therefore, “Farads to Ohms” is not a direct conversion, as they are measuring different properties. However, they can be related through complex impedance in alternating current (AC) circuits.
How to Calculate Farads To Ohms?
Use |Xc| = 1 / (2ฯfC) for ideal capacitive reactance magnitude.
- First, determine the capacitance in farads (C).
- Next, determine the frequency in hertz (f).
- Next, use |Xc| = 1 / (2ฯfC).
- Finally, calculate the reactance magnitude in ohms.
- 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.
capacitance in farads (C) = 0.002
frequency in hertz (f) = 1000
Using full ฯ, |Xc| = 1 / (2ฯ ร 1,000 ร 0.002) โ 0.07957747 ฮฉ; ideal Z โ โj0.07957747 ฮฉ.
