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Electric Force Equation Calculator With Acceleration

Electric Force and Acceleration Equations:

\[ F = q \times E \] \[ a = \frac{F}{m} \]

C
N/C
kg

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1. What is the Electric Force Equation?

The electric force equation (F = q × E) calculates the force experienced by a charged particle in an electric field. The acceleration (a = F/m) is then derived from Newton's second law, showing how the particle would accelerate due to this force.

2. How Does the Calculator Work?

The calculator uses two fundamental physics equations:

\[ F = q \times E \] \[ a = \frac{F}{m} \]

Where:

Explanation: The first equation calculates the force on a charged particle in an electric field. The second equation determines the resulting acceleration based on the particle's mass.

3. Importance of Electric Force Calculation

Details: Understanding electric forces and resulting accelerations is crucial in fields like particle physics, electrical engineering, and semiconductor design. It helps predict particle behavior in electric fields.

4. Using the Calculator

Tips: Enter charge in Coulombs, electric field in N/C, and mass in kg. All values must be positive numbers. The calculator will compute both the electric force and resulting acceleration.

5. Frequently Asked Questions (FAQ)

Q1: What is the direction of the electric force?
A: The force direction depends on the charge sign - positive charges accelerate with the field, negative charges against it.

Q2: How does mass affect the acceleration?
A: Greater mass results in less acceleration for the same force (inverse relationship, per Newton's second law).

Q3: What are typical values for these variables?
A: Electron charge ≈ 1.6×10⁻¹⁹ C, electric fields vary from 10⁻³ N/C (weak) to 10⁸ N/C (strong), electron mass ≈ 9.11×10⁻³¹ kg.

Q4: Does this account for relativistic effects?
A: No, this is classical physics. For particles approaching light speed, relativistic equations are needed.

Q5: Can this be used for complex charge distributions?
A: This calculates force on a point charge. For distributed charges, integration over the charge distribution is needed.

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