Enter the capacitance and frequency into the calculator to determine the impedance. This calculator can also evaluate any of the variables given the others are known.
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Farads To Ohms Formula
The following formula is used to calculate the impedance (Z) in ohms from the capacitance (C) in farads and the frequency (f) in hertz.
Z = 1 / (2 * π * f * C)
Variables:
- Z is the impedance in ohms (Ω)
- C is the capacitance in farads (F)
- f is the frequency in hertz (Hz)
- π is the mathematical constant Pi (~3.14159)
To calculate the impedance in ohms, multiply the capacitance in farads by the frequency in hertz, then multiply the result by 2 and Pi. Take the reciprocal of this result to get the impedance in ohms.
| Capacitance (C) | Frequency (Hz) | Impedance |Xc| (Ω) |
|---|---|---|
| 1 pF | 1,000 | 159,154,943.100 |
| 10 pF | 1,000 | 15,915,494.310 |
| 100 pF | 1,000 | 1,591,549.431 |
| 220 pF | 1,000 | 723,431.559 |
| 470 pF | 1,000 | 338,628.028 |
| 1 nF | 1,000 | 159,154.943 |
| 2.2 nF | 1,000 | 72,343.155 |
| 4.7 nF | 1,000 | 33,862.803 |
| 10 nF | 1,000 | 15,915.494 |
| 22 nF | 1,000 | 7,234.315 |
| 47 nF | 1,000 | 3,386.280 |
| 100 nF | 1,000 | 1,591.549 |
| 220 nF | 1,000 | 723.432 |
| 470 nF | 1,000 | 338.628 |
| 1 µF | 1,000 | 159.155 |
| 2.2 µF | 1,000 | 72.343 |
| 4.7 µF | 1,000 | 33.863 |
| 10 µF | 1,000 | 15.915 |
| 47 µF | 1,000 | 3.386 |
| 100 µF | 1,000 | 1.592 |
| * Rounded to 3 decimals. Formula: |Xc| = 1/(2π 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?
The following steps outline how to calculate the Farads To Ohms using the formula: Z = 1 / (2 * π * f * C).
- First, determine the capacitance in farads (C).
- Next, determine the frequency in hertz (f).
- Next, gather the formula from above = Z = 1 / (2 * π * f * C).
- Finally, calculate the impedance in ohms (Z).
- 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
π (Pi) = 3.14159
