AllUnitsConverters

Capacitance Converter

Convert Farad (F), microfarad (µF), nanofarad (nF), picofarad (pF), abfarad, statfarad.

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*Diagram shows values relative to the selected base unit (Farad).

Unit Information

What is a Farad (F)?

The Farad (symbol: F) is the SI derived unit of electrical capacitance. One Farad is defined as the capacitance of a capacitor that stores one coulomb of charge per one volt of potential difference (1 F = 1 C/V). Named after Michael Faraday, the Farad is a very large unit, so practical capacitors are typically rated in smaller submultiples.

What are Kilo-, Milli-, Micro-, Nano-, and Picofarads?

These are standard SI prefixes for the Farad. Kilofarad (kF) is 10³ F. Millifarad (mF) is 10⁻³ F. Microfarad (µF) is 10⁻⁶ F. Nanofarad (nF) is 10⁻⁹ F. Picofarad (pF) is 10⁻¹² F. These units cover the vast range of capacitance values found in electronic circuits, from large power supply capacitors (µF to mF) to tiny signal-coupling capacitors (nF to pF).

What is an Abfarad (abF)?

The Abfarad is the CGS-EMU (electromagnetic) unit of capacitance. It is an extremely large unit, equal to one billion Farads (10⁹ F). It is of historical and theoretical interest and is not used in modern practical electronics.

What is a Statfarad (statF)?

The Statfarad is the CGS-ESU (electrostatic) unit of capacitance, also known as a 'franklin per volt'. It is a very small unit, approximately 1.11265 picofarads. Like the Abfarad, it is an obsolete unit found in older physics literature.

Formulas

Q = C × V

The fundamental capacitor equation: Charge stored (Q, in Coulombs) equals Capacitance (C, in Farads) multiplied by Voltage (V, in Volts).

E = ½CV²

The energy (E, in Joules) stored in a capacitor is one-half its Capacitance (C) multiplied by the square of the Voltage (V).

1 F = 1,000 mF = 1,000,000 µF

Shows the relationship between Farads, millifarads, and microfarads.

1 µF = 1000 nF = 1,000,000 pF

Shows the relationship between microfarads, nanofarads, and picofarads.

C_total (parallel) = C₁ + C₂ + ...

The total capacitance of capacitors in parallel is the sum of their individual capacitances.

1/C_total (series) = 1/C₁ + 1/C₂ + ...

The reciprocal of the total capacitance of capacitors in series is the sum of the reciprocals of their individual capacitances.

Key Reference Points

Typical Capacitance Values
  • Small ceramic or film capacitors in signal circuits: Often picofarads (pF) to nanofarads (nF).
  • Electrolytic capacitors for power supply filtering: Typically microfarads (µF) to millifarads (mF).
  • Supercapacitors (ultracapacitors) for energy storage: Can range from Farads (F) to Kilofarads (kF).
  • Capacitance between two parallel wires (e.g., in a cable): Usually very small, in the pF range per unit length.
  • The Earth's capacitance is estimated to be around 710 microfarads (µF).
Component Examples
  • A capacitor labeled '104' is 100 nF (or 0.1 µF).
  • A large power supply filter cap might be 4700 µF.
  • A capacitor used for tuning a radio circuit might be in the 10-100 pF range.
  • A 'decoupling' capacitor on a digital logic chip is often 0.1 µF (100 nF).
  • A supercapacitor used for memory backup might be around 1 Farad.

Did You Know?

The Leyden Jar

Invented in 1745, the Leyden jar was one of the earliest forms of a capacitor. It consisted of a glass jar coated inside and out with metal foil, and was instrumental in early experiments with electricity.

Capacitive Touchscreens

Modern touchscreens work on the principle of capacitance. The screen has a grid of transparent conductors. Your finger, which is conductive, disrupts the electrostatic field at a specific point. The device detects this change in capacitance and registers it as a touch.

The Farad is a Huge Unit

One Farad is such a large unit of capacitance that it's rarely seen in typical electronics. A one-farad parallel plate capacitor using a 1mm air gap would need plates with an area of over 113 square kilometers.

Supercapacitors

Supercapacitors, or ultracapacitors, can store thousands of times more energy than a standard capacitor, with capacitance values in the hundreds or thousands of Farads. While they don't have the energy density of batteries, they can charge and discharge almost instantly, making them useful for regenerative braking systems and providing quick bursts of power.

Stray Capacitance

In electronic circuits, any two conductive surfaces near each other (like two adjacent traces on a circuit board) can act as an unintended capacitor. This 'stray capacitance' can affect circuit performance at high frequencies and must often be accounted for in complex designs.

Capacitor as a Filter

Capacitors are fundamental components in electronic filters. They can block direct current (DC) while allowing alternating current (AC) to pass. This property is used to create filters that separate or remove specific frequency ranges from a signal.

Self-Healing Capacitors

Some high-power film capacitors have a 'self-healing' property. If a small short-circuit occurs through the dielectric, the immense local current vaporizes the thin metal film around the fault, effectively isolating it and allowing the capacitor to continue functioning.

Capacitor Codes

Small ceramic capacitors are often marked with a three-digit code. The first two digits are the significant figures, and the third is the multiplier (power of 10), with the value in picofarads (pF). For example, a code '104' means 10 × 10⁴ pF, which is 100,000 pF or 100 nF.

The Human Body as a Capacitor

The human body can act as a capacitor, storing static electric charge. Walking across a carpet can build up a charge, which then discharges as a spark when you touch a grounded metal object. This is known as electrostatic discharge (ESD) and can damage sensitive electronics.

Dielectric Material

The material between a capacitor's plates, known as the dielectric, significantly influences its capacitance. Different materials like ceramic, polymer film, or electrolytic solutions offer varying dielectric constants and properties, allowing for a wide range of capacitor types.

Capacitive Proximity Sensors

These sensors detect the presence of objects by measuring changes in capacitance. When an object enters the sensor's electric field, it changes the capacitance of the system, which can trigger a switch. They can detect both conductive and non-conductive materials.

Varactors (Varicap Diodes)

A varactor is a special type of diode whose capacitance varies depending on the voltage applied to it. This property allows it to be used as a voltage-controlled capacitor in circuits like radio tuners and frequency synthesizers.

Capacitor Aging

Electrolytic capacitors, a common type, can 'age' over time, especially when exposed to heat. This causes their capacitance value to decrease and their internal resistance (ESR) to increase, which can lead to equipment failure. This is a common reason for repairing older electronics.

Energy Buffering in Audio Amplifiers

Large capacitors are used in the power supply of audio amplifiers to act as energy reservoirs. They store charge and deliver it quickly to handle sudden musical peaks, preventing the voltage from dropping and ensuring clear, undistorted sound.

Defibrillators

Medical defibrillators use a large capacitor to store a high-energy electrical charge. This energy is then delivered in a quick pulse to the heart to restore a normal rhythm during cardiac arrest.

Frequently Asked Questions