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Radius of Electron on Circular Path Formula

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The Radius of electron is the radius of circular path of electron when subjugated to a perpendicular magnetic field. Check FAQs

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

r_e - Radius of Electron?V_e - Electron Velocity?H - Magnetic Field Strength?[Mass-e] - Mass of electron?[Charge-e] - Charge of electron?

Radius of Electron on Circular Path Example

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Here is how the Radius of Electron on Circular Path equation looks like with Values.

Here is how the Radius of Electron on Circular Path equation looks like with Units.

Here is how the Radius of Electron on Circular Path equation looks like.

0.0124 = \frac{9.1E-31 \cdot 501509}{0.23 \cdot 1.6E-19}

0.0124mm = \frac{9.1E-31kg \cdot 501509m/s}{0.23A/m \cdot 1.6E-19C}

0.0124 = \frac{9.1E-31 \cdot 501509}{0.23 \cdot 1.6E-19}

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Radius of Electron on Circular Path Solution

Follow our step by step solution on how to calculate Radius of Electron on Circular Path?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

r e = \frac{9.1E-31kg \cdot 501509m/s}{0.23A/m \cdot 1.6E-19C}

Next Step Prepare to Evaluate

∴

r e = \frac{9.1E-31 \cdot 501509}{0.23 \cdot 1.6E-19}

Next Step Evaluate

∴

r e = 1.23973680357957E-05m

Next Step Convert to Output's Unit

∴

r e = 0.0123973680357957mm

LAST Step Rounding Answer

∴

r e = 0.0124mm

Radius of Electron on Circular Path Formula Elements

Variables

Constants

Radius of Electron

The Radius of electron is the radius of circular path of electron when subjugated to a perpendicular magnetic field.

Symbol: r_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Electron

Electron Velocity

Electron Velocity is defined as the velocity of an electron when an external electric field is applied on it.

Symbol: V_e

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Electron Velocity

Magnetic Field Strength

Magnetic Field Strength is a measure of the intensity of a magnetic field in a given area of that field.

Symbol: H

Measurement: Magnetic Field StrengthUnit: A/m

Note: Value should be greater than 0.

Formulas to find Magnetic Field Strength

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

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 Diameter of Cycloid

D c = 2 \cdot R

How to Evaluate Radius of Electron on Circular Path?

Radius of Electron on Circular Path evaluator uses Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e]) to evaluate 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 evaluate Radius of Electron on Circular Path using this online evaluator? To use this online evaluator for Radius of Electron on Circular Path, enter Electron Velocity (V_e) & Magnetic Field Strength (H) and hit the calculate button.

FAQs on Radius of Electron on Circular Path

What is the formula to find Radius of Electron on Circular Path?

The formula of Radius of Electron on Circular Path is expressed as Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e]). Here is an example- 12.39737 = ([Mass-e]*501509)/(0.23*[Charge-e]).

How to calculate Radius of Electron on Circular Path?

With Electron Velocity (V_e) & Magnetic Field Strength (H) we can find Radius of Electron on Circular Path using the formula - Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e]). This formula also uses Mass of electron, Charge of electron constant(s).

Can the Radius of Electron on Circular Path be negative?

No, the Radius of Electron on Circular Path, measured in Length cannot be negative.

Which unit is used to measure Radius of Electron on Circular Path?

Radius of Electron on Circular Path is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Electron on Circular Path can be measured.

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