Official PYQ · 2013Set 1 · Q52Vector AnalysisMCQ2 marks

GATE EC 2013 Set 1 Q52 — Vector Analysis

A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ denote incident, reflected, and transmitted electric field vectors associated with the wave.

The angle of incidence $\theta_{i}$ and the expression for $\vec{E_{i}}$ are

Choose one optionA

60^{\circ}

and

\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} - \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}(x+z)}{3\sqrt{2}}} \:V / m

45^{\circ}

and

\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} + \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}z}{3}} \:V / m

45^{\circ}

and

\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} - \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}(x+z)}{3\sqrt{2}}} \:V / m

60^{\circ}

and

\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} - \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}z}{3}} \:V / m

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Answer: C

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Published 10 Oct 2026

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GATE EC 2013 Set 1 Q52 — Vector Analysis

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