Transformation of Electro Magnetic Field - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

381

Pages:

5
Author:

Jabin F.

Diagram: The image shows a coordinate system with axes x, y, and z, labeled as the "rest frame." Another coordinate system with axes x', y', and z' is shown, labeled as the "moving frame." The two frames are related by a velocity vector V along the x-axis. Fields: E: Electric field components Ex, Ey, and Ez B: Magnetic field components Bx, By, and Bz Transformation Equations: The image presents the following equations that describe how the electric and magnetic fields transform between the rest and moving frames: Ex' = Ex Bx' = Bx Ey' = γ(Ey - VxBz/c^2) By' = γ(By + VxEz/c^2) Ez' = γ(Ez + VxBy/c^2) Bz' = γ(Bz - VxEy/c^2) where: γ is the Lorentz factor, defined as γ = 1 / sqrt(1 - V^2/c^2) c is the speed of light Invariant Quantity: E^2 - c^2B^2 = (E')^2 - c^2(B')^2 Calculation: E^2 = 25 B^2 = 9 (E')^2 = 16 (B')^2 = 0 Conclusion: B' = 0 (Option c)

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