Radius of Electron on Circular Path Calculator

Calculate Radius of Electron





Formula

The formula to calculate the Radius of Electron (re) is:

\[ r_e = \frac{[Mass-e] \cdot V_e}{H \cdot [Charge-e]} \]

Definition

The Radius of electron is the radius of circular path of electron when subjugated to a perpendicular magnetic field. Electron Velocity is defined as the velocity of an electron when an external electric field is applied on it. Magnetic Field Strength is a measure of the intensity of a magnetic field in a given area of that field.

Example Calculation

Let's assume the following values:

Using the formula:

\[ r_e = \frac{9.10938356E-31 \cdot 501509}{0.23 \cdot 1.60217662E-19} \approx 1.23973680357957E-05 \]

The Radius of Electron is approximately 1.23973680357957E-05 Meter.

Conversion Chart

Electron Velocity (m/s) Magnetic Field Strength (A/m) Radius of Electron (m)
500000 0.23 0.000012360065359
502500 0.23 0.000012421865685
505000 0.23 0.000012483666012
507500 0.23 0.000012545466339
510000 0.23 0.000012607266666