Convert atomic unit of energy to coulomb • ampere

Learn how to convert 1 atomic unit of energy to coulomb • ampere step by step.

Calculation Breakdown

Set up the equation

1.0 (a t o m i c u n i t o f e n e r g y) = x (c o u l o m b \times a m p e r e)

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

(j o u l e)

Left side: 1.0 (a t o m i c u n i t o f e n e r g y) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Right side: 1.0 (c o u l o m b \times a m p e r e) = 1.3558179483314 (j o u l e) = 1.3558179483314 (J)

Insert known values into the conversion equation to determine

x

1.0 (a t o m i c u n i t o f e n e r g y) = x (c o u l o m b \times a m p e r e)

Insert known values =>

1.0 \times 4.359744 \times 10^{- 18} \times (j o u l e) = x \times 1.3558179483314 \times (j o u l e)

Or

1.0 \cdot 4.359744 \times 10^{- 18} \cdot (J) = x \cdot 1.3558179483314 \cdot (J)

Cancel SI units

1.0 \times 4.359744 \times 10^{- 18} \cdot (J) = x \times 1.3558179483314 \times (J)

Conversion Equation

4.359744 \times 10^{- 18} = x \times 1.3558179483314

Switch sides

x \times 1.3558179483314 = 4.359744 \times 10^{- 18}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.3558179483314})

x \times 1.3558179483314 \times \frac{1.0}{1.3558179483314} = 4.359744 \times 10^{- 18} \times \frac{1.0}{1.3558179483314}

Cancel

x \times 1.3558179483314 \times \frac{1.0}{1.3558179483314} = 4.359744 \times 10^{- 18} \times \frac{1.0}{1.3558179483314}

Simplify

x = \frac{4.359744 \times 10^{- 18}}{1.3558179483314}

Solve

x

x \approx 3.2155821549 \times 10^{- 18} \approx 3.2156 \times 10^{- 18}

Conversion Equation

1.0 (a t o m i c u n i t o f e n e r g y) \approx 3.2156 \times 10^{- 18} (c o u l o m b \times a m p e r e)

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