Acceleration in the Electric Field Calculator

Your details

Choose a common particle to prefill charge and mass, or pick Custom to enter your own values.
Charge in coulombs. Use a negative value for negatively charged particles such as electrons.
C
Rest mass in kilograms. For an electron this is about 9.109 x 10^-31 kg.
kg
The magnitude of the uniform electric field in newtons per coulomb (equivalent to volts per metre).
N/C
Speed of the particle before it enters the field. Zero means the particle starts from rest.
m/s
Length of the region the particle travels through. Used to compute final velocity and kinetic energy gained.
m
Acceleration
-175,882,001,077,216.3m/s²

a = qE / m

Electric force-0N
Acceleration (in g)-17,934,972,806,943.89
Electric force (N)-0
Acceleration (m/s²)-175,882,001,077,216.3
Energy gained (J)-

Electron acceleration is 1.76 x 10^14 m/s² (1.79 x 10^13 times Earth gravity).

  • The force is opposite to the field direction because the charge is negative.
  • This acceleration is enormously larger than Earth gravity, which is typical for subatomic particles in moderate laboratory fields.

Next stepCheck whether the final velocity approaches the speed of light (3 x 10^8 m/s). Above roughly 10% of c, relativistic corrections become significant and the non-relativistic formula overstates the actual acceleration.

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