Magnitude Of Electric Force Equation

Coulomb's Law Formula:

\[ F = k \times \frac{|q_1 q_2|}{r^2} \]

Charge 1 (q₁):

Charge 2 (q₂):

Distance (r):

Coulomb's Constant (k):

N·m²/C²

Electric Force (F):

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1. What is Coulomb's Law?

Definition: Coulomb's Law calculates the magnitude of the electrostatic force between two charged particles.

Purpose: It helps physicists and engineers determine the electric force between charged objects, fundamental in electromagnetism.

2. How Does the Calculator Work?

The calculator uses Coulomb's Law formula:

\[ F = k \times \frac{|q_1 q_2|}{r^2} \]

Where:

\( F \) — Magnitude of electric force (Newtons)
\( k \) — Coulomb's constant (8.98755×10⁹ N·m²/C²)
\( q_1, q_2 \) — Electric charges (Coulombs)
\( r \) — Distance between charges (meters)

Explanation: The force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

3. Importance of Coulomb's Law

Details: Understanding electric forces is crucial for designing electrical systems, studying atomic structure, and analyzing electromagnetic phenomena.

4. Using the Calculator

Tips: Enter the two charges in Coulombs, distance in meters, and Coulomb's constant (default value provided). Distance must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of Coulomb's constant?
A: Approximately 8.98755×10⁹ N·m²/C² in a vacuum. The calculator uses this as default.

Q2: Does the calculator consider charge signs?
A: No, it calculates magnitude only using absolute values of charges.

Q3: What units should I use?
A: Charges in Coulombs (C), distance in meters (m), force will be in Newtons (N).

Q4: What if the distance is zero?
A: The calculator requires distance > 0 as the formula becomes undefined at r=0.

Q5: How precise are the calculations?
A: Results are shown with 10 decimal places for scientific accuracy.