GATE 2024 Electronics & Communication Q39

Question

A uniform plane wave with electric field $\vec{E}(x) = A_y\hat{a}_y e^{-j\frac{2\pi x}{3}}$ V/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 ________.

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{2}$

Answer

-6

Answer

-3