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4.2 The complete set of relativistic transformation rules for electromagnetic fields as measured in two different coordinate systems where system S (7,§,2) travels with velocity v along the x-axis with respect to the reference system S (x,y, z) are %3D Ē, Y(E, – vB.), Y(E, +vB,), B. Bx, B, Y(B, +E:), and %3D B: Y(B: -E.). Use this information to show that E² – ²B² is Lorentz invariant.

4.2 The complete set of relativistic transformation rules for electromagnetic fields as measured in two different coordinate systems where system S (7,§,2) travels with velocity v along the x-axis with respect to the reference system S (x,y, z) are %3D Ē, Y(E, – vB.), Y(E, +vB,), B. Bx, B, Y(B, +E:), and %3D B: Y(B: -E.). Use this information to show that E² – ²B² is Lorentz invariant.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Relativity
Section: Chapter Questions
Problem 54P
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4.2 The complete set of relativistic transformation rules for electromagnetic fields as measured in two different coordinate systems where system § (x,§,z) travels with velocity v along the x-axis with respect to the reference system S (x,y,z) are Ex, Ē, Y(E, – vB.), Y(E, + vB,), Bx, %3D 글터), and Y(B: -E,). By Y(By + B, = Use this information to show that E² – c²B² is Lorentz invariant.
Transcribed Image Text:4.2 The complete set of relativistic transformation rules for electromagnetic fields as measured in two different coordinate systems where system § (x,§,z) travels with velocity v along the x-axis with respect to the reference system S (x,y,z) are Ex, Ē, Y(E, – vB.), Y(E, + vB,), Bx, %3D 글터), and Y(B: -E,). By Y(By + B, = Use this information to show that E² – c²B² is Lorentz invariant.
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