As part of the ongoing Cosmology series, I'm discussing Maxwell's Laws. • Coulomb’s Law: Describes the force between two stationary charges, decreasing with the square of the distance between them. • Vacuum Permittivity (ε0): An experimentally determined constant that relates charge, distance, and force in Coulomb’s Law. • Oersted’s Discovery: Found that an electric current generates a magnetic field, linking electricity and magnetism. • Magnetic Field Discovery: Hans Christian Oersted discovered the relationship between electricity and magnetism in 1820. • Ampere’s Force Law: Andre Marie Ampere experimentally derived the Ampere’s Force Law in 1825, relating the force between two current-carrying wires. • Bio-Savart Law: Jean Baptiste Biot and Felix Savart discovered the Bio-Savart Law in 1820, describing the magnetic field generated by a constant electric current. • Maxwell’s Contribution: Maxwell predicted the existence of electromagnetic waves and proposed that light is an electromagnetic disturbance. • Electromagnetic Waves: Maxwell’s equations predict waves of oscillating electric and magnetic fields that travel through empty space at a speed of approximately 310 million m/s. • Gauss’s Law: The net electric flux through any closed surface is equal to the total charge enclosed by the surface. • Gauss’s Law for Electricity: The Divergence of the electric field is proportional to the enclosed electric charge density divided by the vacuum permittivity. • Gauss’s Law for Magnetism: The Divergence of the magnetic field is zero, implying the non-existence of magnetic monopoles. • Magnetic Monopoles: The non-existence of magnetic monopoles is explained by the fact that breaking a magnet results in two smaller magnets, each with its own north and south poles. • Magnetic Monopoles: No experimental evidence of magnetic monopoles, but particle physicists hypothesize their existence based on superm breaking during the universe’s inflationary Epoch. • Faraday’s Law of Induction: The electromotive force around a closed path equals the negative time rate of change of the magnetic flux enclosed by that path. • Electromagnetic Induction: Faraday’s experiment demonstrated that a changing magnetic flux induces a current in a nearby conductor, leading to the concept of lines of force. • Maxwell’s Inspiration: Maxwell added the displacement current term to Ampere’s law, reasoning that a changing electric field is equivalent to a current. • Light as Electromagnetic Wave: Maxwell hypothesized that light is an electromagnetic wave based on the idea that a time-varying electric field can propagate through space. • Derivation of Light’s Speed: By applying Faraday’s law and Ampere’s law in free space, Maxwell derived an equation relating the speed of light to the permittivity and permeability of free space. • Maxwell’s Discovery: Maxwell discovered that all electromagnetic interactions travel at the speed of light, which was a groundbreaking revelation in science. • Nature of Light: Maxwell demonstrated that light is an electromagnetic wave, showing the fundamental connection between light and electromagnetism. Overall, the segment emphasizes clear definitions, underlying geometry, and practical observing guidance so viewers can connect the concept to the real sky.