json { "title": "GATE EC 2013: Monochromatic Plane Wave Electric Field Expression (λ=600μm)", "description": "Find the correct expression for the electric field E_r of a monochromatic plane wave with a wavelength λ = 600 μm, propagating in a specific direction as shown in the figure. This GATE EC 2013 Set 1 Question 53 tests concepts of electromagnetic wave propagation, wave vectors, and electric field polarization, emphasizing the E.k=0 condition.", "keywords": "GATE EC 2013, ec-gate-2013-set-1-question-53, monochromatic plane wave, electric field expression, electromagnetic wave, wave propagation, wavelength, 600 μm, wave vector, polarization, E.k=0, engineering electromagnetics, GATE exam question, solution" }

EC > GATE 2013 SET-1 > Wave Propagation

A monochromatic plane wave of wavelength λ = 600 μm is propagating in the direction as shown in the figure below. The expression for E_r is

A

E₀(â_x − â_z/√2)0.23e^{−jπ(3x−√2z)/10⁻⁴} V/m

B

E₀(−â_x + â_z/√2)e^{−jπ(3z)/10⁻⁴} V/m

C

E₀(â_x − â_z/√2)0.44e^{−jπ(3x−√2z)/10⁻⁴} V/m

D

E₀(−â_x + â_z/√2)e^{−jπ(3x+√2z)/10⁻⁴} V/m

Explanation

Correct : c

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