PYQs Based Test - 16 : Electromagnetics

A signal source with 100 m wavelength is connected to the input terminals of a 150 m long transmission line terminated in its characteristic impedance. The phase difference between the voltages at two ends of the transmission line in steady-state condition is

A 1 μC point charge is held at the origin of a cartesian coordinate system. If a second point charge of 10 μC is moved from (0, 10, 0) to (5, 5, 5) and subsequently to (5, 0, 0), then the total work done is _________ mJ.

(Round off to 2 decimal places).

Take $\frac{1}{4\pi {\epsilon }_o}=9\times 10^9$ in SI units. All coordinates are in meters.

In a long transmission line with r, l, g and c are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for distortion less transmission is

The electric field intensity of a plane wave traveling in free space is given by the following expression

$\mathrm{E}\left(\mathrm{x},\mathrm{t}\right)={\mathrm{a}}_{\mathrm{y}}24\pi \cos \left(\omega \mathrm{t}-{\mathrm{k}}_0\mathrm{x}\right)\left(\frac{\mathrm{V}}{\mathrm{m}}\right)$

In this field, consider a square area 10 cm x 10 cm on plane x + y = 1. The total time – averaged power (in mW) passing through the square area is_____________

If the maximum effective aperture of a radiating small loop of constant current is $\frac{3}{\left(32\pi \right)m^2}$, the wavelength of the radiated electromagnetic wave is: