Convert statcoulomb to Elementary Charge
Learn how to convert
1
statcoulomb to
Elementary Charge
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(statcoulomb\right)={\color{rgb(20,165,174)} x}\left(Elementary \text{ } Charge\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(coulomb\right)\)
\(\text{Left side: 1.0 } \left(statcoulomb\right) = {\color{rgb(89,182,91)} 3.33564 \times 10^{-10}\left(coulomb\right)} = {\color{rgb(89,182,91)} 3.33564 \times 10^{-10}\left(C\right)}\)
\(\text{Right side: 1.0 } \left(Elementary \text{ } Charge\right) = {\color{rgb(125,164,120)} 1.602176487 \times 10^{-19}\left(coulomb\right)} = {\color{rgb(125,164,120)} 1.602176487 \times 10^{-19}\left(C\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(statcoulomb\right)={\color{rgb(20,165,174)} x}\left(Elementary \text{ } Charge\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.33564 \times 10^{-10}} \times {\color{rgb(89,182,91)} \left(coulomb\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.602176487 \times 10^{-19}}} \times {\color{rgb(125,164,120)} \left(coulomb\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.33564 \times 10^{-10}} \cdot {\color{rgb(89,182,91)} \left(C\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.602176487 \times 10^{-19}} \cdot {\color{rgb(125,164,120)} \left(C\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.33564 \times 10^{-10}} \cdot {\color{rgb(89,182,91)} \cancel{\left(C\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.602176487 \times 10^{-19}} \times {\color{rgb(125,164,120)} \cancel{\left(C\right)}}\)
\(\text{Conversion Equation}\)
\(3.33564 \times 10^{-10} = {\color{rgb(20,165,174)} x} \times 1.602176487 \times 10^{-19}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.33564 \times {\color{rgb(255,204,153)} \cancel{10^{-10}}} = {\color{rgb(20,165,174)} x} \times 1.602176487 \times {\color{rgb(255,204,153)} \cancelto{10^{-9}}{10^{-19}}}\)
\(\text{Simplify}\)
\(3.33564 = {\color{rgb(20,165,174)} x} \times 1.602176487 \times 10^{-9}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.602176487 \times 10^{-9} = 3.33564\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.602176487 \times 10^{-9}}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.602176487 \times 10^{-9} \times \dfrac{1.0}{1.602176487 \times 10^{-9}} = 3.33564 \times \dfrac{1.0}{1.602176487 \times 10^{-9}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.602176487}} \times {\color{rgb(99,194,222)} \cancel{10^{-9}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.602176487}} \times {\color{rgb(99,194,222)} \cancel{10^{-9}}}} = 3.33564 \times \dfrac{1.0}{1.602176487 \times 10^{-9}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.33564}{1.602176487 \times 10^{-9}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-9}}\text{ can be rewritten to }10^{9}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{9} \times 3.33564}{1.602176487}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx2081942923.9\approx2.0819 \times 10^{9}\)
\(\text{Conversion Equation}\)
\(1.0\left(statcoulomb\right)\approx{\color{rgb(20,165,174)} 2.0819 \times 10^{9}}\left(Elementary \text{ } Charge\right)\)
