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Charged Particle Acceleration in an Electric Field

Calculate charged particle acceleration in an electric field with compatible units, known-value inputs and clearly stated model assumptions.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

For the worked inputs, Acceleration is approximately -6 mps2.

a = qE/m

Worked example

Enter these known values and leave the other values blank.

Mass
2.19553824561977276100118458509611818343501610113341192979692689545723772333942649353102878e+30 me
Charge
-18724527223382287823.3287229427913376996608976885129133645822474277826723067788791632071698 e
Electric field
4 N/C
Acceleration
-6 m/s²

Assumptions and limitations

  • This is a one-dimensional signed relation, or a component of the vector equation a = qE/m.
  • Mass is positive and charge or field may be negative. The nonrelativistic model excludes magnetic forces and relativistic acceleration.
  • Numerical arithmetic uses 64 significant digits; displayed values are rounded separately. Captured particle-mass and astronomical unit conversions retain their stated approximations.

Common questions

Which inputs and assumptions does this result use?

This is a one-dimensional signed relation, or a component of the vector equation a = qE/m.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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