1
GATE ECE 2026
MCQ (Single Correct Answer)
+1
-0.33

The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous medium is given by

$$ \vec{E}(z, t)=E_0[\hat{x} \cos (\omega t-k z)+\hat{y} \sin (\omega t-k z)] $$

in a right-handed orthogonal co-ordinate system.

Which of the following is the correct polarization of the electromagnetic wave?

A

Right-handed circularly polarized

B

Left-handed circularly polarized

C

Linearly polarized

D

Linearly polarized with $-45^{\circ}$ angle to $\hat{x}$

2
GATE ECE 2026
MCQ (More than One Correct Answer)
+1
-0.33

Which option(s) represents/ represent the dielectric loss tangent of a substrate?

A

Ratio of the real to imaginary parts of the total displacement current

B

$\frac{\left(\omega \epsilon^{\prime \prime}+\sigma\right)}{\left(\omega \epsilon^{\prime}\right)}$

C

Ratio of the electric susceptibility to permittivity

D

Ratio of the polarization vector $\vec{P}$ to the displacement vector $\vec{D}$

3
GATE ECE 2026
Numerical
+1
-0.33

The cutoff frequency (in GHz ) for the dominant $\mathrm{TE}_{10}$ mode of an air-filled rectangular waveguide of inner dimension 0.28 inch $\times 0.14$ inch is $\_\_\_\_$ .

(rounded off to two decimal places).

Your input ____
4
GATE ECE 2026
Numerical
+1
-0.33

For a lossless passive two-port network, $\left|S_{11}\right|$ and $\left|S_{21}\right|$ intersect at -3 dB .

For a lossy passive two-port network, $\left|S_{11}\right|$ and $\left|S_{21}\right|$ intersect at -4 dB ..

The percentage of power dissipated in the lossy network at the intersection frequency is $\_\_\_\_$ .

(rounded off to two decimal places)

Your input ____