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Force Between Two Charges Calculator Online

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The Force Between Two Charges Calculator is a digital tool designed to simplify the process of determining the electromagnetic force between two charged particles. This calculator is vital for students, educators, and professionals in the field of physics, enabling users to quickly input values and receive accurate results without manual calculations. By automating the computation process, it supports learning, teaching, and practical application in electromagnetic studies.

Formula of Force Between Two Charges Calculator

The calculator operates on the principle of Coulomb’s Law, which is mathematically represented as:

F = k * q₁ * q₂ / r²

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where:

  • F is the force between the two charges (measured in Newtons)
  • k is the Coulomb constant, approximately equal to 8.988 x 10⁹ N⋅m²/C²
  • q₁ and q₂ are the magnitudes of the charges of the two particles (measure in Coulombs)
  • r is the distance between the centers of the two charges (measure in meters)

Important notes:

  • The force is attractive if the charges have opposite signs and repulsive if they have the same sign.
  • Ensure all quantities are convert to the appropriate units before plugging them into the formula.

Table for General Use

For convenience, below is a table providing general terms and examples for commonly encountered scenarios using the Force Between Two Charges Calculator. This table aims to facilitate quick references and understanding without needing detailed calculations for every scenario.

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Charge 1 (q₁)Charge 2 (q₂)Distance (r)Force (F)Note
+1 C-1 C1 m8.988 x 10⁹ NAttractive force
+1 C+1 C1 m-8.988 x 10⁹ NRepulsive force
+2 C-2 C2 m2.247 x 10⁹ NAttractive force
-1 C-1 C0.5 m-3.595 x 10¹⁰ NRepulsive force

This table is a simplified reference design to provide quick insights into the forces between charges under various conditions.

Example of Force Between Two Charges Calculator

Given:
Charge 1 (q₁) = +3 C
Charge 2 (q₂) = -2 C
Distance (r) = 2 m
Coulomb constant (k) = 8.988 x 10⁹ N·m²/C²

Applying Coulomb’s Law:
F = (k * q₁ * q₂) / r²

Calculation:
F = (8.988 x 10⁹ * 3 * -2) / 2²
F = (-53.928 x 10⁹) / 4 = -13.482 x 10⁹ N

Result:
The force (F) between the two charges is -13.482 x 10⁹ Newtons, indicating an attractive force due to the opposite signs of the charges.

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Most Common FAQs

What if the charges are the same sign?

The force will be repulsive, indicating that the charges push away from each other.

How accurate is the calculator?

The calculator is highly accurate, provided that all inputs are correct and in the proper units.

Can I use this calculator for real-life decisions?

While the calculator provides accurate electromagnetic force calculations, applying this information to real-life decisions should be done with caution and, if necessary, with professional guidance.

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