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Particle Acceleration Formula

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Particle Acceleration refers to the acceleration achieved by a particle when it is in the influence of electric field. Check FAQs

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

a_p - Particle Acceleration?E_I - Electric Field Intensity?[Charge-e] - Charge of electron?[Mass-e] - Mass of electron?

Particle Acceleration Example

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Here is how the Particle Acceleration equation looks like with Values.

Here is how the Particle Acceleration equation looks like with Units.

Here is how the Particle Acceleration equation looks like.

602923.5038 = \frac{1.6E-19 \cdot 3.428}{9.1E-31}

602923.5038m/ms² = \frac{1.6E-19C \cdot 3.428V/m}{9.1E-31kg}

602923.5038 = \frac{1.6E-19 \cdot 3.428}{9.1E-31}

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Particle Acceleration Solution

Follow our step by step solution on how to calculate Particle Acceleration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a p = \frac{[Charge-e] \cdot 3.428V/m}{[Mass-e]}

Next Step Substitute values of Constants

∴

a p = \frac{1.6E-19C \cdot 3.428V/m}{9.1E-31kg}

Next Step Prepare to Evaluate

∴

a p = \frac{1.6E-19 \cdot 3.428}{9.1E-31}

Next Step Evaluate

∴

a p = 602923503789.756m/s²

Next Step Convert to Output's Unit

∴

a p = 602923.503789756m/ms²

LAST Step Rounding Answer

∴

a p = 602923.5038m/ms²

Particle Acceleration Formula Elements

Variables

Constants

Particle Acceleration

Particle Acceleration refers to the acceleration achieved by a particle when it is in the influence of electric field.

Symbol: a_p

Measurement: AccelerationUnit: m/ms²

Note: Value should be greater than 0.

Formulas to find Particle Acceleration

Electric Field Intensity

Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.

Symbol: E_I

Measurement: Electric Field StrengthUnit: V/m

Note: Value should be greater than 0.

Formulas to find Electric Field Intensity

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

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

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 Radius of Electron on Circular Path

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

Go Diameter of Cycloid

D c = 2 \cdot R

How to Evaluate Particle Acceleration?

Particle Acceleration evaluator uses Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e] to evaluate the Particle Acceleration, The Particle Acceleration is present is defined as the rate of change of velocity with respect to time when an electron/charge is in an electric field and a force acts upon it. Particle Acceleration is denoted by a_p symbol.

How to evaluate Particle Acceleration using this online evaluator? To use this online evaluator for Particle Acceleration, enter Electric Field Intensity (E_I) and hit the calculate button.

FAQs on Particle Acceleration

What is the formula to find Particle Acceleration?

The formula of Particle Acceleration is expressed as Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]. Here is an example- 0.602924 = ([Charge-e]*3.428)/[Mass-e].

How to calculate Particle Acceleration?

With Electric Field Intensity (E_I) we can find Particle Acceleration using the formula - Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]. This formula also uses Charge of electron, Mass of electron constant(s).

Can the Particle Acceleration be negative?

No, the Particle Acceleration, measured in Acceleration cannot be negative.

Which unit is used to measure Particle Acceleration?

Particle Acceleration is usually measured using the Meter Per Square Millisecond[m/ms²] for Acceleration. Meter per Square Second[m/ms²], Kilometer per Square Second[m/ms²], Micrometer per Square Second[m/ms²] are the few other units in which Particle Acceleration can be measured.

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