Particle Acceleration Calculator

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

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✖Particle Acceleration refers to the acceleration achieved by a particle when it is in the influence of electric field.ⓘ Particle Acceleration [a_p]

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Particle Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Particle Acceleration - (Measured in Meter per Square Second) - Particle Acceleration refers to the acceleration achieved by a particle when it is in the influence of electric field.
Electric Field Intensity - (Measured in Volt per Meter) - Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.

STEP 1: Convert Input(s) to Base Unit

Electric Field Intensity: 3.428 Volt per Meter --> 3.428 Volt per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_p = ([Charge-e]*E_I)/[Mass-e] --> ([Charge-e]*3.428)/[Mass-e]

Evaluating ... ...

a_p = 602923503789.756

STEP 3: Convert Result to Output's Unit

602923503789.756 Meter per Square Second -->602923.503789756 Meter Per Square Millisecond (Check conversion here)

FINAL ANSWER

602923.503789756 ≈ 602923.5 Meter Per Square Millisecond <-- Particle Acceleration

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

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< Electrostatic Parameters Calculators

Magnetic Deflection Sensitivity

LaTeX Go Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))

Electrostatic Deflection Sensitivity

LaTeX Go Electrostatic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)/(2*Distance between Deflecting Plates*Anode Voltage)

Radius of Electron on Circular Path

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

Particle Acceleration

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

Particle Acceleration Formula

LaTeX Go

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

How the acceleration is calculated when force and electric field is given?

If we throw a charge into a uniform electric field (same magnitude and direction everywhere), it would also follow a parabolic path. We're going to neglect gravity; the parabola comes from the constant force experienced by the charge in the electric field. Again, we could determine when and where the charge would land by doing a projectile motion analysis. The acceleration is again zero in one direction and constant in the other. The value of the acceleration can be found by drawing a free-body diagram (one force, F = qE) and applying Newton's second law. This says:
qE = ma, so the acceleration is a = qE / m.

How to Calculate Particle Acceleration?

Particle Acceleration calculator uses Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e] to calculate 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 calculate Particle Acceleration using this online calculator? To use this online calculator for Particle Acceleration, enter Electric Field Intensity (E_I) and hit the calculate button. Here is how the Particle Acceleration calculation can be explained with given input values -> 0.602924 = ([Charge-e]*3.428)/[Mass-e].

FAQ

What is 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 and is represented as a_p = ([Charge-e]*E_I)/[Mass-e] or Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]. Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.

How to calculate 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 is calculated using Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]. To calculate Particle Acceleration, you need Electric Field Intensity (E_I). With our tool, you need to enter the respective value for Electric Field Intensity 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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