Angular Speed of Electron in Magnetic Field Calculator

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✖Magnetic Field Strength is a measure of the intensity of a magnetic field in a given area of that field.ⓘ Magnetic Field Strength [H]

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✖The Angular Speed of Electron is the rate at which an electron is rotating around a center in a given time period.ⓘ Angular Speed of Electron in Magnetic Field [ω_e]

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Formula

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Angular Speed of Electron in Magnetic Field

Formula

`"ω"_{"e"} = ("[Charge-e]"*"H")/"[Mass-e]"`

Example

`"4E^10rad/s"=("[Charge-e]"*"0.23A/m")/"[Mass-e]"`

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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]
ω_e = ([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

ω_e = ([Charge-e]*H)/[Mass-e] --> ([Charge-e]*0.23)/[Mass-e]

Evaluating ... ...

ω_e = 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)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 14 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)

Hall Voltage

Go Hall Voltage = ((Magnetic Field Strength*Electric Current)/(Hall Coefficient*Width of Semiconductor))

Radius of Electron on Circular Path

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

Electric Flux

Go Electric Flux = Electric Field Intensity*Area of Surface*cos(Angle)

Transition Capacitance

Go Transition Capacitance = ([Permitivity-vacuum]*Junction Plate Area)/Width of Depletion Region

Angular Speed of Particle in Magnetic Field

Go Angular Speed of Particle = (Particle Charge*Magnetic Field Strength)/Particle Mass

Angular Speed of Electron in Magnetic Field

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

Particle Acceleration

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

Magnetic Field Intensity

Go Magnetic Field Strength = Length of Wire/(2*pi*Distance from Wire)

Path Length of Particle in Cycloidal Plane

Go Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron

Electric Field Intensity

Go Electric Field Intensity = Electric Force/Electric Charge

Electric Flux Density

Go Electric Flux Density = Electric Flux/Surface Area

Diameter of Cycloid

Go Diameter of Cycloid = 2*Particle Cycloidal Path

Angular Speed of Electron in Magnetic Field Formula

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