- #1
The correct relation is given by F^{ij} = - epsilon^{ijk} B^k, where F^{ij} is the electromagnetic field tensor and B^k is the magnetic induction vector.
The epsilon^{ijk} term is the Levi-Civita symbol, which is used to represent the permutation of indices in three-dimensional space. It is equal to 1 if the indices are in ascending order, -1 if they are in descending order, and 0 if any two indices are equal.
This equation is derived from Maxwell's equations, specifically the Faraday's law of induction and the Ampere's law. It is a mathematical representation of the relationship between the electromagnetic field and magnetic induction in three-dimensional space.
This equation shows that the magnetic field is perpendicular to the electric field and that their strengths are directly proportional to each other. It also demonstrates the concept of electromagnetic waves and the propagation of energy through space.
Yes, this equation can be applied in various contexts, such as in the study of electromagnetism, quantum mechanics, and relativity. It is also used in engineering and technology to understand and design electrical and electronic systems.