PYQs Based Test - 15 : Electromagnetics

Standard air-filled rectangular waveguides of dimensions a = 2.29 cm and b = 1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominant TE₁₀ mode with the operating frequency at least 25% above the cutoff frequency of the TE₁₀ mode but not higher than 95% of the next higher cutoff frequency. The range of the allowable operating frequency f is

In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2 sin(t + π/2). The displacement current (in Amperes) through the capacitor is _________

In an electrostatic field, the electric displacement density vector D is given by

$\vec{D}(x,y,z)=(x^3\hat{i}+y^3\hat{j}+x{y}^2\hat{k})$ C/m²,

Where, $\hat{i},\hat{j},\hat{k}$ are the unit vectors along the x-axis, y-axis, and z-axis, respectively. Consider a cubical region 𝑅 centered at the origin with each side of length 1 m, and vertices at (± 0.5 m, ± 0.5 m, ± 0.5 m). The electric charge enclosed within 𝑅 is _________ C (rounded off to two decimal places).

For the circuit shown, the locus of the impedance Z(jω) is plotted as ω increases from zero to infinity. The values of R₁ and R₂ are:

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of 10${}^{-4cm,withairasthedielectric.Assumethespeedoflightinairtobe3\times 10}$^8 m/s. The frequency/frequencies of TM waves which can propagate in this waveguide is/are _______.