Acceleration in Electric Field Calculator

Formula Used

The acceleration of a charged particle in an electric field is calculated using the following formula, derived from Newton’s Second Law (F=ma) and the formula for electric force (F = qE):

a = qE / m

Where:
a = Acceleration (m/s²)
q = Particle’s charge (Coulombs)
E = Electric field strength (N/C)
m = Particle’s mass (kg)

How to Use This Calculator

To find the acceleration, simply follow these steps:

  1. Enter the strength of the Electric Field (E) in Newtons per Coulomb (N/C).
  2. Input the Particle’s Charge (q) in Coulombs (C). For an electron, this is approximately 1.602 x 10⁻¹⁹ C.
  3. Provide the Particle’s Mass (m) in kilograms (kg). For an electron, this is about 9.109 x 10⁻³¹ kg.
  4. Click the “Calculate” button to see the result.

Frequently Asked Questions (FAQs)

What is acceleration in an electric field?
It is the rate at which a charged particle’s velocity changes when it is placed in an electric field. The field exerts a force on the particle, causing it to accelerate.

What direction is the acceleration?
The direction depends on the charge. A positive charge accelerates in the same direction as the electric field, while a negative charge accelerates in the opposite direction.

Does the calculator handle both positive and negative charges?
Yes. Simply enter the charge ‘q’ as a positive or negative value, and the calculator will compute the magnitude of the acceleration. The sign of your result indicates direction relative to the field.

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