## Capacitance Units

What are the base SI units for capacitance?

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__**Hint**

**Hint**

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. The units for capacitance is the farad (F).

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__**Hint 2**

**Hint 2**

The units for capacitance is the farad (F), which is 1 coulomb of electrical charge over 1 volt of potential difference.

$$$1\:F=\frac{1\:Coulomb}{1\:Volt}$$$

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. The units for capacitance is the farad (F), which is 1 coulomb of electrical charge over 1 volt of potential difference.

$$$1\:F=\frac{1\:Coulomb}{1\:Volt}$$$

The coulomb is the unit for electrical charge. It is defined as an ampere x second.

$$$1\:Coulomb=1\:Ampere\cdot 1\:Second$$$

Voltage is the electrical potential difference between two points, which is defined as the work (watts) needed per unit of charge (ampere).

$$$1\:V =1\:\frac{W}{A}$$$

Power is the time rate of doing work. The unit for power is a watt (W), which is one joule per second.

$$$1\:W=1\:\frac{J}{s}$$$

Joule (J) is a unit of work, which is the product of a unit force (one newton) acting through a unit distance (one meter).

$$$1\:J=1\:N\cdot m$$$

A newton is a unit of force, which is described in the following SI base units:

$$$\frac{m\cdot kg}{s^{2}}$$$

Combining all units together:

$$$F=\frac{C}{V}=\frac{A^{2}\cdot s}{W}=\frac{A^{2}\cdot s^{2}}{J}=\frac{A^{2}\cdot s^{2}}{N\cdot m}=\frac{A^{2}\cdot s^{4}}{kg\cdot m^2}$$$

$$$\frac{A^{2}\cdot s^{4}}{kg\cdot m^2}$$$