Convert ESU of charge to EMU of charge

Learn how to convert 1 ESU of charge to EMU of charge step by step.

Calculation Breakdown

Set up the equation

1.0 (E S U o f c h a r g e) = x (E M U 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 S U 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)

Right side: 1.0 (E M U o f c h a r g e) = 10.0 (c o u l o m b) = 10.0 (C)

Insert known values into the conversion equation to determine

x

1.0 (E S U o f c h a r g e) = x (E M U o f c h a r g e)

Insert known values =>

1.0 \times 3.33564 \times 10^{- 10} \times (c o u l o m b) = x \times 10.0 \times (c o u l o m b)

Or

1.0 \cdot 3.33564 \times 10^{- 10} \cdot (C) = x \cdot 10.0 \cdot (C)

Cancel SI units

1.0 \times 3.33564 \times 10^{- 10} \cdot (C) = x \times 10.0 \times (C)

Conversion Equation

3.33564 \times 10^{- 10} = x \times 10.0

Switch sides

x \times 10.0 = 3.33564 \times 10^{- 10}

Isolate

x

Multiply both sides by

(\frac{1.0}{10.0})

x \times 10.0 \times \frac{1.0}{10.0} = 3.33564 \times 10^{- 10} \times \frac{1.0}{10.0}

Cancel

x \times 10.0 \times \frac{1.0}{10.0} = 3.33564 \times 10^{- 10} \times \frac{1.0}{10.0}

Simplify

x = \frac{3.33564 \times 10^{- 10}}{10.0}

Solve

x

x = 3.33564 \times 10^{- 11} \approx 3.3356 \times 10^{- 11}

Conversion Equation

1.0 (E S U o f c h a r g e) \approx 3.3356 \times 10^{- 11} (E M U o f c h a r g e)

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