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Path Length of Particle in Cycloidal Plane Formula

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Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields. Check FAQs

R = \frac{V ef}{ω e}

R - Particle Cycloidal Path?V_ef - Velocity of Electron in Force Fields?ω_e - Angular Speed of Electron?

Path Length of Particle in Cycloidal Plane Example

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Here is how the Path Length of Particle in Cycloidal Plane equation looks like with Values.

Here is how the Path Length of Particle in Cycloidal Plane equation looks like with Units.

Here is how the Path Length of Particle in Cycloidal Plane equation looks like.

4E-9 = \frac{160.869}{4E+10}

4E-9m = \frac{160.869m/s}{4E+10rad/s}

4E-9 = \frac{160.869}{4E+10}

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Path Length of Particle in Cycloidal Plane Solution

Follow our step by step solution on how to calculate Path Length of Particle in Cycloidal Plane?

FIRST Step Consider the formula

R = \frac{V ef}{ω e}

Next Step Substitute values of Variables

∴

R = \frac{160.869m/s}{4E+10rad/s}

Next Step Prepare to Evaluate

∴

R = \frac{160.869}{4E+10}

Next Step Evaluate

∴

R = 4.021725E-09m

LAST Step Rounding Answer

∴

R = 4E-9m

Path Length of Particle in Cycloidal Plane Formula Elements

Variables

Particle Cycloidal Path

Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Particle Cycloidal Path

Velocity of Electron in Force Fields

The Velocity of electron in force fields is the speed at which an electron revolves in an electric and magnetic field.

Symbol: V_ef

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Electron in Force Fields

Angular Speed of Electron

The Angular Speed of Electron is the rate at which an electron is rotating around a center in a given time period.

Symbol: ω_e

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of Electron

Other formulas in Electrostatic Parameters category

Go Electrostatic Deflection Sensitivity

S e = \frac{L def \cdot L crt}{2 \cdot d \cdot V a}

Go Magnetic Deflection Sensitivity

S m = (L def \cdot L crt) \cdot \sqrt{(\frac{[Charge-e]}{2 \cdot [Mass-e] \cdot V a})}

Go Particle Acceleration

a p = \frac{[Charge-e] \cdot E I}{[Mass-e]}

Go Radius of Electron on Circular Path

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

How to Evaluate Path Length of Particle in Cycloidal Plane?

Path Length of Particle in Cycloidal Plane evaluator uses Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron to evaluate 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 evaluate Path Length of Particle in Cycloidal Plane using this online evaluator? To use this online evaluator 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.

FAQs on Path Length of Particle in Cycloidal Plane

What is the formula to find Path Length of Particle in Cycloidal Plane?

The formula of Path Length of Particle in Cycloidal Plane is expressed as Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron. Here is an example- 4E-9 = 160.869/40000000000.

How to calculate Path Length of Particle in Cycloidal Plane?

With Velocity of Electron in Force Fields (V_ef) & Angular Speed of Electron (ω_e) we can find Path Length of Particle in Cycloidal Plane using the formula - Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron.

Can the Path Length of Particle in Cycloidal Plane be negative?

No, the Path Length of Particle in Cycloidal Plane, measured in Length cannot be negative.

Which unit is used to measure Path Length of Particle in Cycloidal Plane?

Path Length of Particle in Cycloidal Plane is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Path Length of Particle in Cycloidal Plane can be measured.

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Path Length of Particle in Cycloidal Plane Formula

Path Length of Particle in Cycloidal Plane Example

Path Length of Particle in Cycloidal Plane Solution

Path Length of Particle in Cycloidal Plane Formula Elements

Other formulas in Electrostatic Parameters category

How to Evaluate Path Length of Particle in Cycloidal Plane?

FAQs on Path Length of Particle in Cycloidal Plane

Variable Name