Self Inductance And Energy In Magnetic Field Electromagnetic Induction

Concepts and Summary of Electromagnetism:

I. Laws of Electromagnetic Induction:

  • Faraday’s Law of Induction: A changing magnetic field induces an electromotive force (EMF) or voltage in a conductor.

  • Lenz’s Law: The induced EMF opposes the change in magnetic flux, creating a current that opposes the initial change.

II. Self-Inductance:

  • Definition: Property of a conductor to oppose changes in current flowing through it by generating an opposing EMF.

  • Factors Affecting: Length of the conductor, number of turns in a coil, and the core material (permeability).

  • Energy Stored: Energy stored in the magnetic field when a current passes through a self-inductor is given by 1/2 * L * I^2, where L is self-inductance and I is current.

III. Mutual Inductance:

  • Definition: Property of two conductors to induce EMF in each other when the current in one changes, as a result of the changing magnetic field.

  • Factors Affecting: Distance between the coils, number of turns in each coil, and core material.

IV. Applications of Electromagnetic Induction:

  • Transformers: Used to change AC voltage levels by transferring electrical energy from one circuit to another through electromagnetic induction.

  • Generators: Convert mechanical energy into electrical energy through electromagnetic induction, usually driven by a rotating magnetic field.

  • Motors: Function based on electromagnetic induction, where electrical energy is converted into mechanical energy through the interaction of magnetic fields.

V. Eddy Currents:

  • Definition: Circulating electric currents induced in a conductor by a changing magnetic field.

  • Factors Affecting: Conductivity, thickness, and permeability of the conductor, as well as the strength of the magnetic field.

  • Minimizing: Lamination of the conductor, special core designs, and using materials with low eddy current losses.

By understanding and remembering these concepts, one can grasp the fundamental principles of electromagnetism, specifically involving self-inductance, energy in a magnetic field, and the applications of electromagnetic induction.