How to Convert Microfarads to Statfarads
To convert a capacitance measurement from microfarads to statfarads, multiply the capacitance value by the conversion factor. Since one microfarad is equal to 898755 statfarads, you can use this formula:
The capacitance in statfarads is equal to the microfarads multiplied by 898755.
Using the formula: statfarads = microfarads × 898755
statfarads = 5 μF × 898755 = 4.4938E+6 stF
Therefore, 5 microfarads is equal to 4.4938E+6 statfarads.
How Many Statfarads Are in a Microfarad?
There are 898755 statfarads in one microfarad, which is why we use this value in the formula above.
What Is a Microfarad?
The microfarad (symbol: μF) is one of the most commonly used units of electrical capacitance. It equals one millionth (10−&sup6;) of a farad. The prefix "micro" comes from the Greek "mikros" meaning small, and denotes a factor of 10−&sup6; in the metric system. Microfarads are the standard unit for expressing the capacitance of most practical capacitors used in electronics. Electrolytic capacitors, ceramic disc capacitors for power supply bypassing, and film capacitors commonly have values ranging from 0.1 μF to several thousand μF. Common applications include power supply filtering (100–10,000 μF), audio coupling and decoupling (0.1–10 μF), and timing circuits. Motor run and start capacitors are also typically rated in microfarads. In older texts and some component markings, the microfarad may be written as "MFD" or "mfd" (an older abbreviation), though the modern standard symbol is μF. In contexts where the micro symbol is unavailable, "uF" is commonly used as a substitute.
One microfarad is equal to:
- 0.000001 farads (F)
- 0.001 millifarads (mF)
- 1,000 nanofarads (nF)
- 1,000,000 picofarads (pF)
- 10-15 abfarads (abF)
- 898,755.22 statfarads (stF)
What Is a Statfarad?
The statfarad (symbol: stF) is the unit of electrical capacitance in the centimetre–gram–second (CGS) electrostatic system of units. It is defined as the capacitance of a capacitor that has a potential difference of one statvolt when charged by one statcoulomb of electricity. One statfarad is approximately equal to 1.1126 picofarads (1.1126 × 10−¹² farads). This makes the statfarad a very small unit of capacitance, though it is much more practically sized than the farad for describing the capacitances of small components. The conversion factor between farads and statfarads is derived from the speed of light in vacuum (c ≈ 2.998 × 10¹&sup0; cm/s), as the relationship between SI and CGS electrostatic units depends on this fundamental constant. Specifically, 1 farad = c² × 10−&sup5; statfarads ≈ 898,755,224,014.74 statfarads. Like the abfarad, the statfarad is primarily of historical and theoretical interest. It appears in older physics literature using the CGS electrostatic system. Modern practice favors SI units for all capacitance measurements, though understanding CGS units remains important for reading historical scientific papers.
One statfarad is equal to:
- ≈ 1.1126 × 10-12 farads (F)
- ≈ 1.1126 × 10-9 millifarads (mF)
- ≈ 1.1126 × 10-6 microfarads (μF)
- ≈ 0.001113 nanofarads (nF)
- ≈ 1.1126 picofarads (pF)
- ≈ 1.1126 × 10-21 abfarads (abF)
Understanding Capacitance
Capacitance is a fundamental electrical property that describes a component's ability to store electrical energy in an electric field. A capacitor, the component that exhibits capacitance, consists of two conductive plates separated by an insulating material called a dielectric.
When a voltage is applied across a capacitor, positive charge accumulates on one plate and negative charge on the other, creating an electric field in the dielectric. The capacitance (C) is defined as the ratio of the electric charge (Q) stored on each plate to the voltage (V) across the capacitor: C = Q / V.
The SI unit of capacitance is the farad (F), named after Michael Faraday. One farad equals the capacitance when one coulomb of charge produces one volt of potential difference. In practice, a farad is an extremely large unit, so capacitance values in electronic circuits are typically expressed in sub-multiples: millifarads (mF), microfarads (μF), nanofarads (nF), and picofarads (pF).
SI vs. CGS Units
The International System of Units (SI) uses the farad and its metric prefixed sub-multiples. The older centimetre–gram–second (CGS) system includes two capacitance units: the abfarad (from the electromagnetic sub-system, equal to 10&sup9; farads) and the statfarad (from the electrostatic sub-system, approximately 1.1126 × 10−¹² farads).
While CGS units are largely obsolete in modern engineering, they still appear in some physics textbooks and older scientific literature. Understanding the conversion between these systems is important for interpreting historical data and theoretical calculations.
Factors Affecting Capacitance
- Plate area — Larger plate area increases capacitance
- Distance between plates — Smaller separation increases capacitance
- Dielectric material — Higher dielectric constant (κ) increases capacitance
- Temperature — Can affect the dielectric constant and thus capacitance
Common Capacitance Values in Electronics
- Supercapacitors: 0.1 F to 3,000+ F
- Electrolytic capacitors: 0.1 μF to 100,000 μF
- Film capacitors: 1 nF to 100 μF
- Ceramic capacitors: 1 pF to 100 μF
- Trimmer/variable capacitors: 1 pF to 500 pF
Practical Tips for Capacitance Conversion
- When working with SI capacitance units (F, mF, μF, nF, pF), remember that each step is a factor of 1,000: 1 F = 1,000 mF = 1,000,000 μF = 1,000,000,000 nF = 1,000,000,000,000 pF.
- To convert between adjacent SI prefix levels, simply move the decimal point three places. For example, 4,700 pF = 4.7 nF = 0.0047 μF.
- Capacitor markings on small components (like ceramic capacitors) are often in picofarads using a three-digit code. The first two digits are significant figures and the third is the multiplier (number of zeros). For example, "473" means 47,000 pF = 47 nF.
- When reading schematics, pay close attention to the unit prefix. Confusing μF and nF (a factor of 1,000 difference) is a common source of circuit errors.
- For CGS units (abfarads and statfarads), remember that 1 abfarad = 10&sup9; F is enormous, while 1 statfarad ≈ 1.1126 pF is tiny. These units are rarely used in modern practice.
- Online calculators and conversion tools are helpful, but always double-check critical calculations by hand, especially for precision applications in filter design or timing circuits.
Microfarads to Statfarads Conversion Table
The following table shows conversions from microfarads to statfarads.
| Microfarads | Statfarads (stF) |
|---|---|
| 1 μF | 898,755 |
| 2 μF | 1.7975E+6 |
| 3 μF | 2.6963E+6 |
| 4 μF | 3.5950E+6 |
| 5 μF | 4.4938E+6 |
| 6 μF | 5.3925E+6 |
| 7 μF | 6.2913E+6 |
| 8 μF | 7.1900E+6 |
| 9 μF | 8.0888E+6 |
| 10 μF | 8.9876E+6 |
| 11 μF | 9.8863E+6 |
| 12 μF | 1.0785E+7 |
| 13 μF | 1.1684E+7 |
| 14 μF | 1.2583E+7 |
| 15 μF | 1.3481E+7 |
| 16 μF | 1.4380E+7 |
| 17 μF | 1.5279E+7 |
| 18 μF | 1.6178E+7 |
| 19 μF | 1.7076E+7 |
| 20 μF | 1.7975E+7 |
| 21 μF | 1.8874E+7 |
| 22 μF | 1.9773E+7 |
| 23 μF | 2.0671E+7 |
| 24 μF | 2.1570E+7 |
| 25 μF | 2.2469E+7 |
| 26 μF | 2.3368E+7 |
| 27 μF | 2.4266E+7 |
| 28 μF | 2.5165E+7 |
| 29 μF | 2.6064E+7 |
| 30 μF | 2.6963E+7 |
| 31 μF | 2.7861E+7 |
| 32 μF | 2.8760E+7 |
| 33 μF | 2.9659E+7 |
| 34 μF | 3.0558E+7 |
| 35 μF | 3.1456E+7 |
| 36 μF | 3.2355E+7 |
| 37 μF | 3.3254E+7 |
| 38 μF | 3.4153E+7 |
| 39 μF | 3.5051E+7 |
| 40 μF | 3.5950E+7 |