PYQs Based Test - 16 : Electromagnetics

A transmission line having a characteristic impedance of 50 Ω has to deliver 10 kW power at 100 kHz to a load. The maximum permissible value of rms current anywhere along the line is 20 A. What is the maximum VSWR that can be tolerated on this line?

Consider a rectangular coordinate system (x, y, z) with unit vectors aₓ, a${}_y$, and a${}_z$. A plane wave traveling in the region z ≥ 0 with electric field vector E = 10 cos (2 × 10⁸ t + βz) a${}_y$ is incident normally on the plane at z = 0, where β is the phase constant. The region z ≥ 0 is in free space and the region z < 0 is filled with a lossless medium (permittivity ε = ε₀, permeability μ = 4μ₀, where ε₀ = 8.85 × 10⁻¹² F/m and μ₀ = 4π × 10⁻⁷ H/m). The value of the reflection coefficient is

The refractive indices of the core and cladding of an optical fiber are 1.50 and 1.48, respectively. The critical propagation angle, which is defined as the maximum angle that the light beam makes with the axis of the optical fiber to achieve the total internal reflection, (rounded off to two decimal places) is ______ degree.

Characteristic impedance of a two-wire transmission line at 10 kHz is 200-j50 Ω. The line is terminated in its characteristic impedance, and a 28.28 Vₚ₋ₚ signal is measured at its input. Determine the real power supplied by the signal source to the line?

The electric field component of plane wave travelling in a lossless dielectric medium is given by $\vec{\mathrm{E}}\left(\mathrm{z},\mathrm{f}\right)={\hat{\mathrm{a}}}_{\mathrm{y}}2\cos \left({10}^8\mathrm{t}-\frac{\mathrm{z}}{\sqrt{2}}\right)\mathrm{V}/\mathrm{m}$. The wavelength (in m) for the wave is ____________.