Savchenko Problem 14.3.7

Physics · electromagnetism

Problem

a. When moving at the speed β\beta c of a state in which there was only an elec- →\rightarrow− tric field, a magnetic field with induction B arises , associated with the new →\rightarrow− →\rightarrow− →\rightarrow− →\rightarrow− electric field E by the relation B = [β\beta ×\times E]. Prove this relation in the case →\rightarrow− −−→\rightarrow when the eld E is perpendicular to the velocity betac. →\rightarrow− b. What magnetic field occurs when the electric field of intensity E moves at →\rightarrow− the speed β\beta c, if β\beta , β\beta = 1? 1 →\rightarrow− →\rightarrow−

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