Radius of Electron on Circular Path Calculator

✖Electron Velocity is defined as the velocity of an electron when an external electric field is applied on it.ⓘ Electron Velocity [V_e]			+10% -10%
✖Magnetic Field Strength is a measure of the intensity of a magnetic field in a given area of that field.ⓘ Magnetic Field Strength [H]			+10% -10%

✖The Radius of electron is the radius of circular path of electron when subjugated to a perpendicular magnetic field.ⓘ Radius of Electron on Circular Path [r_e]

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Formula

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Radius of Electron on Circular Path

Formula

r e = \frac{[Mass-e] \cdot V e}{H \cdot [Charge-e]}

Example

0.012397 mm = \frac{[Mass-e] \cdot 501509 m/s}{0.23 A/m \cdot [Charge-e]}

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Radius of Electron on Circular Path Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e])
r_e = ([Mass-e]*V_e)/(H*[Charge-e])
This formula uses 2 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Electron Velocity: 501509 Meter per Second --> 501509 Meter per Second No Conversion Required
Magnetic Field Strength: 0.23 Ampere per Meter --> 0.23 Ampere per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_e = ([Mass-e]*V_e)/(H*[Charge-e]) --> ([Mass-e]*501509)/(0.23*[Charge-e])

Evaluating ... ...

r_e = 1.23973680357957E-05

STEP 3: Convert Result to Output's Unit

1.23973680357957E-05 Meter -->0.0123973680357957 Millimeter (Check conversion here)

FINAL ANSWER

0.0123973680357957 ≈ 0.012397 Millimeter <-- Radius of Electron

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< Electrostatic Parameters Calculators

Magnetic Deflection Sensitivity

Go Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))

Electrostatic Deflection Sensitivity

Go Electrostatic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)/(2*Distance between Deflecting Plates*Anode Voltage)

Radius of Electron on Circular Path

Go Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e])

Particle Acceleration

Go Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]

Radius of Electron on Circular Path Formula

Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e])
r_e = ([Mass-e]*V_e)/(H*[Charge-e])

What is the path of electron in electric field?

In any external field he electron moves in a parabolic path or projectile motion because the velocity of the electron in the direction perpendicular to the Electric field is constant as there is no force and hence, no acceleration along this direction, but there is an acceleration constant in that direction

How to Calculate Radius of Electron on Circular Path?

Radius of Electron on Circular Path calculator uses Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e]) to calculate the Radius of Electron, The Radius of Electron on Circular Path is the product of the mass of electron and the velocity of electron divided by the product of magnetic field strength and the charge of an electron. Radius of Electron is denoted by r_e symbol.

How to calculate Radius of Electron on Circular Path using this online calculator? To use this online calculator for Radius of Electron on Circular Path, enter Electron Velocity (V_e) & Magnetic Field Strength (H) and hit the calculate button. Here is how the Radius of Electron on Circular Path calculation can be explained with given input values -> 12.39737 = ([Mass-e]*501509)/(0.23*[Charge-e]).

FAQ

What is Radius of Electron on Circular Path?

The Radius of Electron on Circular Path is the product of the mass of electron and the velocity of electron divided by the product of magnetic field strength and the charge of an electron and is represented as r_e = ([Mass-e]*V_e)/(H*[Charge-e]) or Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e]). 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.

How to calculate Radius of Electron on Circular Path?

The Radius of Electron on Circular Path is the product of the mass of electron and the velocity of electron divided by the product of magnetic field strength and the charge of an electron is calculated using Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e]). To calculate Radius of Electron on Circular Path, you need Electron Velocity (V_e) & Magnetic Field Strength (H). With our tool, you need to enter the respective value for Electron Velocity & Magnetic Field Strength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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