Convert farad to statfarad
Learn how to convert
1
farad to
statfarad
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(farad\right)={\color{rgb(20,165,174)} x}\left(statfarad\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(farad\right)\)
\(\text{Left side: 1.0 } \left(farad\right) = {\color{rgb(89,182,91)} 1.0\left(farad\right)} = {\color{rgb(89,182,91)} 1.0\left(F\right)}\)
\(\text{Right side: 1.0 } \left(statfarad\right) = {\color{rgb(125,164,120)} 1.1126 \times 10^{-12}\left(farad\right)} = {\color{rgb(125,164,120)} 1.1126 \times 10^{-12}\left(F\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(farad\right)={\color{rgb(20,165,174)} x}\left(statfarad\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(farad\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.1126 \times 10^{-12}}} \times {\color{rgb(125,164,120)} \left(farad\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(F\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.1126 \times 10^{-12}} \cdot {\color{rgb(125,164,120)} \left(F\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(F\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.1126 \times 10^{-12}} \times {\color{rgb(125,164,120)} \cancel{\left(F\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 1.1126 \times 10^{-12}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 1.1126 \times 10^{-12}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.1126 \times 10^{-12} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.1126 \times 10^{-12}}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.1126 \times 10^{-12} \times \dfrac{1.0}{1.1126 \times 10^{-12}} = 1.0 \times \dfrac{1.0}{1.1126 \times 10^{-12}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.1126}} \times {\color{rgb(99,194,222)} \cancel{10^{-12}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.1126}} \times {\color{rgb(99,194,222)} \cancel{10^{-12}}}} = 1.0 \times \dfrac{1.0}{1.1126 \times 10^{-12}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{1.1126 \times 10^{-12}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-12}}\text{ can be rewritten to }10^{12}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{12}}{1.1126}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx8.9879561388 \times 10^{11}\approx8.988 \times 10^{11}\)
\(\text{Conversion Equation}\)
\(1.0\left(farad\right)\approx{\color{rgb(20,165,174)} 8.988 \times 10^{11}}\left(statfarad\right)\)
