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Coulomb's Law

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Contents

Key Stage 5

Meaning

Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

About Coulomb's Law

Coulomb's Law can be used to calculate the magnitude of the force acting between two charged point particles.

Equation

\(F=\frac{1}{4 \pi \epsilon_0} \frac{q_1q_2}{r^2}\)

Where\[F\] = The force acting between the charged particles

\(epsilon_0\) = The Permittivity of Free Space (\(8.85\times10^{-12}) <math>q_1\) = The charge on one particle.

\(q_2\) = The charge on the other particle.

\(r\) = The distance between the particles.

The definition can be derived from the equation by considering

\(\frac{1}{4 \pi \epsilon_0}\) is a constant k.

\(\frac{q_1q_2}\) is the product of the charges.

\(\frac{1}{r^2}\) is the the inverse of the square of the distance.

Therefore

\(F=k\frac{q_1q_2}{r^2}\)