Path Length of Particle in Cycloidal Plane Calculator

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Electrostatic Parameters

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✖The Velocity of electron in force fields is the speed at which an electron revolves in an electric and magnetic field.ⓘ Velocity of Electron in Force Fields [V_ef]			+10% -10%
✖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 [ω_e]			+10% -10%

✖Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields.ⓘ Path Length of Particle in Cycloidal Plane [R]

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Formula

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Path Length of Particle in Cycloidal Plane

Formula

`"R" = "V"_{"ef"}/"ω"_{"e"}`

Example

`"4E^-9m"="160.869m/s"/"4e10rad/s"`

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Path Length of Particle in Cycloidal Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron
R = V_ef/ω_e
This formula uses 3 Variables

Variables Used

Particle Cycloidal Path - (Measured in Meter) - Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields.
Velocity of Electron in Force Fields - (Measured in Meter per Second) - The Velocity of electron in force fields is the speed at which an electron revolves in an electric and magnetic field.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Electron in Force Fields: 160.869 Meter per Second --> 160.869 Meter per Second No Conversion Required
Angular Speed of Electron: 40000000000 Radian per Second --> 40000000000 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = V_ef/ω_e --> 160.869/40000000000

Evaluating ... ...

R = 4.021725E-09

STEP 3: Convert Result to Output's Unit

4.021725E-09 Meter --> No Conversion Required

FINAL ANSWER

4.021725E-09 ≈ 4E-9 Meter <-- Particle Cycloidal Path

(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

Path Length of Particle in Cycloidal Plane Formula

Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron
R = V_ef/ω_e

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How to Calculate Path Length of Particle in Cycloidal Plane?

Path Length of Particle in Cycloidal Plane calculator uses Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron to calculate the Particle Cycloidal Path, Path Length of Particle in Cycloidal Plane can be calculated with the velocity of electron in the two fields that are electric and magnetic fields by the angular velocity of the particle acted in the magnetic field in a cycloidal plane. Particle Cycloidal Path is denoted by R symbol.

How to calculate Path Length of Particle in Cycloidal Plane using this online calculator? To use this online calculator for Path Length of Particle in Cycloidal Plane, enter Velocity of Electron in Force Fields (V_ef) & Angular Speed of Electron (ω_e) and hit the calculate button. Here is how the Path Length of Particle in Cycloidal Plane calculation can be explained with given input values -> 4E-9 = 160.869/40000000000.

FAQ

What is Path Length of Particle in Cycloidal Plane?

Path Length of Particle in Cycloidal Plane can be calculated with the velocity of electron in the two fields that are electric and magnetic fields by the angular velocity of the particle acted in the magnetic field in a cycloidal plane and is represented as R = V_ef/ω_e or Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron. The Velocity of electron in force fields is the speed at which an electron revolves in an electric and magnetic field & The Angular Speed of Electron is the rate at which an electron is rotating around a center in a given time period.

How to calculate Path Length of Particle in Cycloidal Plane?

Path Length of Particle in Cycloidal Plane can be calculated with the velocity of electron in the two fields that are electric and magnetic fields by the angular velocity of the particle acted in the magnetic field in a cycloidal plane is calculated using Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron. To calculate Path Length of Particle in Cycloidal Plane, you need Velocity of Electron in Force Fields (V_ef) & Angular Speed of Electron (ω_e). With our tool, you need to enter the respective value for Velocity of Electron in Force Fields & Angular Speed of Electron 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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