Angular Speed of Electron in Magnetic Field Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Speed of Electron = ([Charge-e]*Magnetic Field Strength)/[Mass-e]
ωe = ([Charge-e]*H)/[Mass-e]
This formula uses 2 Constants, 2 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
Angular Speed of Electron - (Measured in Radian per Second) - The Angular Speed of Electron is the rate at which an electron is rotating around a center in a given time period.
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
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
ωe = ([Charge-e]*H)/[Mass-e] --> ([Charge-e]*0.23)/[Mass-e]
Evaluating ... ...
ωe = 40452860522.6499
STEP 3: Convert Result to Output's Unit
40452860522.6499 Radian per Second --> No Conversion Required
FINAL ANSWER
40452860522.6499 4E+10 Radian per Second <-- Angular Speed of Electron
(Calculation completed in 00.004 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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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]

Angular Speed of Electron in Magnetic Field Formula

Angular Speed of Electron = ([Charge-e]*Magnetic Field Strength)/[Mass-e]
ωe = ([Charge-e]*H)/[Mass-e]

How angular velocity acts in a magnetic field?

Charged particles in a magnetic field feel a force perpendicular to their velocity. The Lorentz force F in a constant magnetic field B on a particle of charge q is given by
F=qvB
where v is the the particle's velocity. The velocity v will always be perpendicular to the magnetic field thus resulting in a circular orbit. This gives rise to the second force acting on q from the centripetal acceleration, thus the angular velocity is
F=qvB
ma=qvB
mv^2/r=qvB
mω=qB
ω=qB/m
Thus, this is how we get angular velocity in a magnetic field.

How to Calculate Angular Speed of Electron in Magnetic Field?

Angular Speed of Electron in Magnetic Field calculator uses Angular Speed of Electron = ([Charge-e]*Magnetic Field Strength)/[Mass-e] to calculate the Angular Speed of Electron, The Angular Speed of Electron in Magnetic Field is calculated when a particle with mass m and charge q moves in a constant magnetic field B. Angular Speed of Electron is denoted by ωe symbol.

How to calculate Angular Speed of Electron in Magnetic Field using this online calculator? To use this online calculator for Angular Speed of Electron in Magnetic Field, enter Magnetic Field Strength (H) and hit the calculate button. Here is how the Angular Speed of Electron in Magnetic Field calculation can be explained with given input values -> 4E+10 = ([Charge-e]*0.23)/[Mass-e].

FAQ

What is Angular Speed of Electron in Magnetic Field?
The Angular Speed of Electron in Magnetic Field is calculated when a particle with mass m and charge q moves in a constant magnetic field B and is represented as ωe = ([Charge-e]*H)/[Mass-e] or Angular Speed of Electron = ([Charge-e]*Magnetic Field Strength)/[Mass-e]. Magnetic Field Strength is a measure of the intensity of a magnetic field in a given area of that field.
How to calculate Angular Speed of Electron in Magnetic Field?
The Angular Speed of Electron in Magnetic Field is calculated when a particle with mass m and charge q moves in a constant magnetic field B is calculated using Angular Speed of Electron = ([Charge-e]*Magnetic Field Strength)/[Mass-e]. To calculate Angular Speed of Electron in Magnetic Field, you need Magnetic Field Strength (H). With our tool, you need to enter the respective value for 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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