Classical Electrodynamics by Francesco Lacava

Author:Francesco Lacava
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

9From Biot and Savart law (1.​12).

© Springer International Publishing Switzerland 2016

Francesco LacavaClassical ElectrodynamicsUndergraduate Lecture Notes in Physics10.1007/978-3-319-39474-9_7

7. Relativistic Covariance of Electrodynamics

Francesco Lacava1

(1)Università degli studi di Roma “La Sapienza”, Rome, Italy

Francesco Lacava

Email: [email protected]

The Maxwell equations accounted for all the electricity and magnetism phenomena and predicted the electromagnetic waves but were in contrast with the Galileian relativity. The inconsistency was solved by Einstein’s theory of special relativity. After a short introduction to 4-vectors, 4-tensors and differential operators with their covariant and contravariant components, the equations of Electrodynamics are written in covariant form, that is the same in all the inertial frames. The introduction of the electromagnetic tensor with its Lorentz transformations clarifies the link between the electric and magnetic fields.

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