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This lecture covers the similarities and differences between electrostatics and magnetostatics, focusing on the non-zero curl and zero divergence in magnetic fields. The instructor explains how Ampère's force law relates to the force between two wires carrying electrical currents, deriving the magnetic field produced by one current on another and computing the resulting force. Through detailed explanations and examples, the lecture delves into the application of Maxwell's equations and Lorentz force to understand the magnetic field's behavior and the force between current-carrying wires.