# Convert Elementary Charge to electrostatic unit of charge

Learn how to convert 1 Elementary Charge to electrostatic unit of charge step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(Elementary \text{ } Charge\right)={\color{rgb(20,165,174)} x}\left(electrostatic \text{ } unit \text{ } of \text{ } charge\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(coulomb\right)$$
$$\text{Left side: 1.0 } \left(Elementary \text{ } Charge\right) = {\color{rgb(89,182,91)} 1.602176487 \times 10^{-19}\left(coulomb\right)} = {\color{rgb(89,182,91)} 1.602176487 \times 10^{-19}\left(C\right)}$$
$$\text{Right side: 1.0 } \left(electrostatic \text{ } unit \text{ } of \text{ } charge\right) = {\color{rgb(125,164,120)} 3.33564 \times 10^{-10}\left(coulomb\right)} = {\color{rgb(125,164,120)} 3.33564 \times 10^{-10}\left(C\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(Elementary \text{ } Charge\right)={\color{rgb(20,165,174)} x}\left(electrostatic \text{ } unit \text{ } of \text{ } charge\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 1.602176487 \times 10^{-19}} \times {\color{rgb(89,182,91)} \left(coulomb\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.33564 \times 10^{-10}}} \times {\color{rgb(125,164,120)} \left(coulomb\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 1.602176487 \times 10^{-19}} \cdot {\color{rgb(89,182,91)} \left(C\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.33564 \times 10^{-10}} \cdot {\color{rgb(125,164,120)} \left(C\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 1.602176487 \times 10^{-19}} \cdot {\color{rgb(89,182,91)} \cancel{\left(C\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.33564 \times 10^{-10}} \times {\color{rgb(125,164,120)} \cancel{\left(C\right)}}$$
$$\text{Conversion Equation}$$
$$1.602176487 \times 10^{-19} = {\color{rgb(20,165,174)} x} \times 3.33564 \times 10^{-10}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$$1.602176487 \times {\color{rgb(255,204,153)} \cancelto{10^{-9}}{10^{-19}}} = {\color{rgb(20,165,174)} x} \times 3.33564 \times {\color{rgb(255,204,153)} \cancel{10^{-10}}}$$
$$\text{Simplify}$$
$$1.602176487 \times 10^{-9} = {\color{rgb(20,165,174)} x} \times 3.33564$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 3.33564 = 1.602176487 \times 10^{-9}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{3.33564}\right)$$
$${\color{rgb(20,165,174)} x} \times 3.33564 \times \dfrac{1.0}{3.33564} = 1.602176487 \times 10^{-9} \times \dfrac{1.0}{3.33564}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.33564}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.33564}}} = 1.602176487 \times 10^{-9} \times \dfrac{1.0}{3.33564}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.602176487 \times 10^{-9}}{3.33564}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0000000005\approx4.8032 \times 10^{-10}$$
$$\text{Conversion Equation}$$
$$1.0\left(Elementary \text{ } Charge\right)\approx{\color{rgb(20,165,174)} 4.8032 \times 10^{-10}}\left(electrostatic \text{ } unit \text{ } of \text{ } charge\right)$$