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3. Under a Lorentz transformation from K to K', described by B and and magnetic fields (in SI units) transform according to: Ē' = √(Ē + cВ × B) (B − 1 - Ē² = √(Ẻ — —±³ × Ē) – C √2 γ+1 -B(B·· 22 7 +1 -B(B. B) V, the electric Using the above equations, show that Ē · Ẻ and (E/c)² – B² are Lorentz invariant.

3. Under a Lorentz transformation from K to K', described by B and and magnetic fields (in SI units) transform according to: Ē' = √(Ē + cВ × B) (B − 1 - Ē² = √(Ẻ — —±³ × Ē) – C √2 γ+1 -B(B·· 22 7 +1 -B(B. B) V, the electric Using the above equations, show that Ē · Ẻ and (E/c)² – B² are Lorentz invariant.

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3. Under a Lorentz transformation from K to K', described by B and and magnetic fields (in SI units) transform according to: Ē' = √(Ē + cВ × B) (B − 1 - Ē² = √(Ẻ — —±³ × Ē) – C √2 γ+1 -B(B·· 22 7 +1 -B(B. B) V, the electric Using the above equations, show that Ē · Ẻ and (E/c)² – B² are Lorentz invariant.
Transcribed Image Text:3. Under a Lorentz transformation from K to K', described by B and and magnetic fields (in SI units) transform according to: Ē' = √(Ē + cВ × B) (B − 1 - Ē² = √(Ẻ — —±³ × Ē) – C √2 γ+1 -B(B·· 22 7 +1 -B(B. B) V, the electric Using the above equations, show that Ē · Ẻ and (E/c)² – B² are Lorentz invariant.
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