Electric Charges & Fields
Class 12 · Electric Charges & Fields

Coulomb's Law

Drag two charges and watch the inverse-square force update live, with proper LaTeX formula.

Key Notes

01

Force between two point charges in vacuum is F = kq₁q₂/r² where k = 1/(4πε₀) = 8.99 × 10⁹ N·m²/C².

02

Force is along the line joining the charges. Like charges repel, unlike charges attract.

03

Coulomb force obeys Newton's third law — charges experience equal and opposite forces.

04

In a medium of relative permittivity εᵣ, force becomes 1/εᵣ times the vacuum value.

05

Inverse-square dependence: doubling distance reduces force by factor 4.

Formulas

Coulomb's Law

Magnitude of force; k ≈ 9×10⁹ N·m²/C².

Vector form

Force on q₂ due to q₁; r̂ is unit vector from 1 to 2.

In medium

Reduced by relative permittivity.

Important Points

ε₀ = 8.854 × 10⁻¹² C²/(N·m²); k = 1/(4πε₀).

Coulomb's law applies only to STATIC point charges. Moving charges also produce magnetic fields.

Charge is quantised: q = ne, with e = 1.6 × 10⁻¹⁹ C; conserved in any closed system.

Superposition holds: F⃗_net = ΣF⃗ᵢ on a test charge.

Coulomb's Law notes from sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs, Physics Lab). Class 12 physics revision for JEE Mains, JEE Advanced, NEET UG, AP Physics 1/2/C, SAT, and CUET-UG.