Official PYQ · 2024Set 1 · Q29Plane Waves and PropertiesMCQ2 marks

GATE EC 2024 Set 1 Q29 — Plane Waves and Properties

A uniform plane wave with electric field $\vec{E}(x)=A_{y} \hat{a}_{y} e^{-j \frac{2 \pi x}{3}} \mathrm{~V} / \mathrm{m}$ is travelling in the air (relative permittivity, $\epsilon_{r}=1$ and relative permeability, $\mu_{r}=1$ ) in the $+x$ direction ( $A_{y}$ is a positive constant, $\hat{a}_{y}$ is the unit vector along the $y$ axis). It is incident normally on an ideal electric conductor (conductivity, $\sigma=\infty$ ) at $x=0$ . The position of the first null of the total magnetic field in the air (measured from $x=0$ , in metres) is $\_\_\_\_\_\_\_$ .

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Published 10 Oct 2026

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