# Convert statfarad to EMU

Learn how to convert 1 statfarad to EMU step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(statfarad\right)={\color{rgb(20,165,174)} x}\left(EMU\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(farad\right)$$
$$\text{Left side: 1.0 } \left(statfarad\right) = {\color{rgb(89,182,91)} 1.1126 \times 10^{-12}\left(farad\right)} = {\color{rgb(89,182,91)} 1.1126 \times 10^{-12}\left(F\right)}$$
$$\text{Right side: 1.0 } \left(EMU\right) = {\color{rgb(125,164,120)} 10^{9}\left(farad\right)} = {\color{rgb(125,164,120)} 10^{9}\left(F\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(statfarad\right)={\color{rgb(20,165,174)} x}\left(EMU\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 1.1126 \times 10^{-12}} \times {\color{rgb(89,182,91)} \left(farad\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{9}}} \times {\color{rgb(125,164,120)} \left(farad\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 1.1126 \times 10^{-12}} \cdot {\color{rgb(89,182,91)} \left(F\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{9}} \cdot {\color{rgb(125,164,120)} \left(F\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 1.1126 \times 10^{-12}} \cdot {\color{rgb(89,182,91)} \cancel{\left(F\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{9}} \times {\color{rgb(125,164,120)} \cancel{\left(F\right)}}$$
$$\text{Conversion Equation}$$
$$1.1126 \times 10^{-12} = {\color{rgb(20,165,174)} x} \times 10^{9}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{9} = 1.1126 \times 10^{-12}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{9}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{9} \times \dfrac{1.0}{10^{9}} = 1.1126 \times 10^{-12} \times \dfrac{1.0}{10^{9}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{9}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{9}}}} = 1.1126 \times 10^{-12} \times \dfrac{1.0}{10^{9}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.1126 \times 10^{-12}}{10^{9}}$$
Rewrite equation
$$\dfrac{1.0}{10^{9}}\text{ can be rewritten to }10^{-9}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10^{-9} \times 1.1126 \times 10^{-12}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = 10^{-21} \times 1.1126$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 1.1126 \times 10^{-21}$$
$$\text{Conversion Equation}$$
$$1.0\left(statfarad\right) = {\color{rgb(20,165,174)} 1.1126 \times 10^{-21}}\left(EMU\right)$$

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