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Magnitude Of Electric Force Calculator With Acceleration

Electric Force Formula:

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

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m/s²
C

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1. What is Electric Force?

Electric force is the force experienced by a charged particle in an electric field. The magnitude of electric force can be calculated using the formula F = q × E, where F is the force in newtons, q is the charge in coulombs, and E is the electric field strength in newtons per coulomb.

2. How Does the Calculator Work?

The calculator uses the electric force formulas:

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

Where:

Explanation: The calculator first calculates the force using Newton's second law (F = m × a), then calculates the electric field strength using E = F/q.

3. Importance of Electric Force Calculation

Details: Calculating electric force is essential in electromagnetism, electrical engineering, and physics. It helps determine the behavior of charged particles in electric fields and is fundamental to understanding many electrical phenomena.

4. Using the Calculator

Tips: Enter mass in kilograms, acceleration in meters per second squared, and charge in coulombs. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between force and electric field?
A: The electric force on a charged particle is directly proportional to both the charge of the particle and the strength of the electric field (F = q × E).

Q2: How is acceleration related to electric force?
A: According to Newton's second law, acceleration is related to force through a = F/m. In an electric field, charged particles accelerate according to a = (q × E)/m.

Q3: What are typical values for electric force?
A: Electric forces can range from very small values (nanonewtons) in microscopic systems to large values in industrial applications, depending on the charge and field strength.

Q4: Can this calculator be used for negative charges?
A: Yes, the magnitude calculation works for both positive and negative charges. The direction of the force would be opposite for negative charges.

Q5: What are the SI units for these quantities?
A: Force is measured in newtons (N), charge in coulombs (C), electric field in newtons per coulomb (N/C), mass in kilograms (kg), and acceleration in meters per second squared (m/s²).

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