It converts electric potential energy into kinetic energy for an electron.
Electron Velocity Calculator
Estimate electron speed from accelerating voltage.
Electron Velocity Calculator
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It converts electric potential energy into kinetic energy for an electron.
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Formula
For a non-relativistic electron accelerated through voltage V,
v = sqrt(2eV / me)
e = elementary charge
V = accelerating voltage
me = electron mass
What the Electron Velocity Calculator Calculates
The Electron Velocity Calculator is built for introductory electronics and particle physics estimates for accelerated electrons. It converts electric potential energy into kinetic energy for an electron.
The calculator sets electron kinetic energy equal to eV and solves the classical speed equation.
- Study cathode ray and electron beam basics.
- Connect voltage to kinetic energy.
- Estimate non-relativistic electron speeds.
Electron Velocity Calculator Formula
For a non-relativistic electron accelerated through voltage V, v = sqrt(2eV / me)
Use the formula panel beside the calculator to keep the variables visible while you enter values.
- e = elementary charge
- V = accelerating voltage
- me = electron mass
How to Use the Electron Velocity Calculator
Enter accelerating voltage in volts. The calculator keeps the fields focused on this specific problem so you do not have to adapt a generic velocity form by hand.
After you press Calculate, the result panel shows electron velocity, percentage of light speed, and kinetic energy in joules. Reset clears the example values so you can start a fresh scenario.
- Use consistent real-world measurements for the selected scenario.
- Check that time, area, mass, or temperature values are positive where the formula requires them.
- Read the step-by-step substitution before using the final number in homework, design notes, or planning.
Electron Velocity Calculator Example
An electron accelerated through 1000 V has a non-relativistic speed estimate of about 18.76 million m/s.
How to Interpret the Electron Velocity Calculator Result
Higher voltage increases electron velocity, but at high voltage relativistic corrections become important.
The extra output rows give practical companion values so the answer is easier to compare against common units or planning targets.
Electron Velocity Calculator Assumptions and Limits
The calculation is non-relativistic. At a substantial fraction of light speed, use relativistic formulas.
For professional engineering, safety, aviation, ballistics, medical, or project-management decisions, treat the result as a calculation aid and verify it against the standards used in your field.
Frequently Asked Questions
Answers to common questions about electron velocity calculations.
An electron gains kinetic energy equal to its charge multiplied by the potential difference.
It becomes less accurate as electron speed becomes a significant fraction of the speed of light.
This calculator uses accelerating voltage magnitude, so enter a nonnegative value.
It uses the elementary charge and electron rest mass.
No. It assumes the electron gains energy from the voltage without losses.