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    Physics (University Level)

    Coulomb's Law

    Calculate the electrostatic force between two point charges

    Standard Formula
    F = k·q₁q₂ / r² (k = 8.99 × 10⁹)

    Interactive Sandbox

    Live Reactive

    Adjust values in real-time and observe mathematical cause-and-effect

    q1
    µC
    120
    q2
    µC
    120
    r
    m
    0.120
    Live EquationFormula Proof
    F = k·q₁q₂ / 0.5² (k = 8.99 × 10⁹) = 0.2158
    5kgF=20Na = 4.0 m/s²
    F = m × a = 20.0 N
    Calculated Solution
    0.2158

    Direct computational model evaluating Coulomb's Law.

    Variable Mechanics

    Roles, constraints & impacts

    3 Params
    q1

    Charge 1

    Charge 1

    µC
    ImpactPrimary formula parameter
    ConstraintReal number
    q2

    Charge 2

    Charge 2

    µC
    ImpactPrimary formula parameter
    ConstraintReal number
    r

    Distance

    Distance

    m
    ImpactPrimary formula parameter
    ConstraintReal number

    At a Glance

    Gotchas, units & real-world use

    Essential

    Formula Nature & Mechanics

    Direct computational model evaluating Coulomb's Law.

    Common Mistakes & Traps

    • Ensure all input measurements share consistent units before calculating.
    • Check for denominator values approaching zero to prevent undefined division.
    • Follow standard order of operations (PEMDAS: Parentheses, Exponents, Multiply/Divide, Add/Subtract).

    Dimensional Analysis & Units

    Direct evaluation matching formula variable dimensions.

    Real-World & Industry Application

    Widely utilized across modern physics applications, academic analysis, and engineering estimations.

    📖 Beginner's guideCoulomb's Law: How to Calculate Electric ForceLearn Coulomb's Law, F = kq₁q₂/r², with plain-English steps, a worked charge example, common mistakes, and a free calculator that shows the steps.

    Worked Example: Coulomb's Law

    Given:

    • q1 = 2
    • q2 = 3
    • r = 0.5
    1. F = k·q₁q₂ / r²
    2. F = 8.99e9 × (2e-6 × 3e-6) / 0.25
    3. F = 0.05394 / 0.25
    4. F = 0.2158 N

    Answer: 0.2158

    Frequently Asked Questions

    What is the Coulomb's Law formula?

    F = k·q₁q₂ / r² (k = 8.99 × 10⁹). Calculate the electrostatic force between two point charges.

    How do I calculate Coulomb's Law?

    Enter Charge 1 (q1), Charge 2 (q2), Distance (r) into the calculator. It applies F = k·q₁q₂ / r² (k = 8.99 × 10⁹) and shows every step of the working.

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