For a TEM wave travelling in the +x-direction in free space, the Helmholtz equations for the transverse electric field components are ∂2Ey∂x2 = -β2Ey and ∂2Ez∂x2 = -β2Ez, where β = ω√(με). Which of the following correctly represents the field relations? Here, η is the intrinsic impedance.

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Physics · Electromagnetic Waves

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

(Ey / Hz) = η, (Hy / Ez) = -1/η, Ex = 0, Hx = 0

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Answer 1

(Ey / Hy) = η, (Ez / Hz) = η, Ex ≠ 0, Hx ≠ 0

Answer 2

(Ey / Hz) = η, (Hy / Ez) = -1/η, Ex = 0, Hx = 0

Answer 3

(Ez / Hy) = η, (Hz / Ey) = -1/η, Ex = 0, Hx ≠ 0

Answer 4

(Ey / Hz) = 1/η, (Ez / Hy) = 1/η, Ex ≠ 0, Hx = 0

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