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 (E l e m e n t a r y C h a r g e) = x (e l e c t r o s t a t i c u n i t o f c h a r g e)

Define the base values of the selected units in relation to the SI unit

(c o u l o m b)

Left side: 1.0 (E l e m e n t a r y C h a r g e) = 1.602176487 \times 10^{- 19} (c o u l o m b) = 1.602176487 \times 10^{- 19} (C)

Right side: 1.0 (e l e c t r o s t a t i c u n i t o f c h a r g e) = 3.33564 \times 10^{- 10} (c o u l o m b) = 3.33564 \times 10^{- 10} (C)

Insert known values into the conversion equation to determine

x

1.0 (E l e m e n t a r y C h a r g e) = x (e l e c t r o s t a t i c u n i t o f c h a r g e)

Insert known values =>

1.0 \times 1.602176487 \times 10^{- 19} \times (c o u l o m b) = x \times 3.33564 \times 10^{- 10} \times (c o u l o m b)

Or

1.0 \cdot 1.602176487 \times 10^{- 19} \cdot (C) = x \cdot 3.33564 \times 10^{- 10} \cdot (C)

Cancel SI units

1.0 \times 1.602176487 \times 10^{- 19} \cdot (C) = x \times 3.33564 \times 10^{- 10} \times (C)

Conversion Equation

1.602176487 \times 10^{- 19} = x \times 3.33564 \times 10^{- 10}

Cancel factors on both sides

Cancel factors

1.602176487 \times {10^{- 19}}^{10^{- 9}} = x \times 3.33564 \times 10^{- 10}

Simplify

1.602176487 \times 10^{- 9} = x \times 3.33564

Switch sides

x \times 3.33564 = 1.602176487 \times 10^{- 9}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.33564})

x \times 3.33564 \times \frac{1.0}{3.33564} = 1.602176487 \times 10^{- 9} \times \frac{1.0}{3.33564}

Cancel

x \times 3.33564 \times \frac{1.0}{3.33564} = 1.602176487 \times 10^{- 9} \times \frac{1.0}{3.33564}

Simplify

x = \frac{1.602176487 \times 10^{- 9}}{3.33564}

Solve

x

x \approx 0.0000000005 \approx 4.8032 \times 10^{- 10}

Conversion Equation

1.0 (E l e m e n t a r y C h a r g e) \approx 4.8032 \times 10^{- 10} (e l e c t r o s t a t i c u n i t o f c h a r g e)

View All Examples