1
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances $Z_{inA}$, $Z_{inB}$, $Z_{inC}$, and $Z_{inD}$ (indicated in the figure) are ______.

GATE ECE 2024 Electromagnetics - Transmission Lines Question 3 English
A

$Z_{inA} = +1j \Omega$, $Z_{inB} = \infty$, $Z_{inC} = -1j \Omega$, $Z_{inD} = 0$

B

$Z_{inA} = \infty$, $Z_{inB} = +0.4j \Omega$, $Z_{inC} = 0$, $Z_{inD} = +0.4j \Omega$

C

$Z_{inA} = -1j \Omega$, $Z_{inB} = 0$, $Z_{inC} = +1j \Omega$, $Z_{inD} = \infty$

D

$Z_{inA} = +0.4j \Omega$, $Z_{inB} = \infty$, $Z_{inC} = -0.4j \Omega$, $Z_{inD} = 0$

2
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

Let $\hat{i}$ and $\hat{j}$ be the unit vectors along $x$ and $y$ axes, respectively and let $A$ be a positive constant. Which one of the following statements is true for the vector fields $\vec{F}_1 = A(\hat{i}y + \hat{j}x)$ and $\vec{F}_2 = A(\hat{i}y − \hat{j}x)$?

A

Both $\vec{F}_1$ and $\vec{F}_2$ are electrostatic fields.

B

Only $\vec{F}_1$ is an electrostatic field.

C

Only $\vec{F}_2$ is an electrostatic field.

D

Neither $\vec{F}_1$ nor $\vec{F}_2$ is an electrostatic field.

3
GATE ECE 2024
MCQ (Single Correct Answer)
+2
-1.33
A uniform plane wave with electric field $\vec{E}(x)=A_y \hat{a}_y e^{-j \frac{2 \pi x}{3}} \mathrm{~V} / \mathrm{m}$ is travelling in the air (relative permittivity, $\dot{o}_r=1$ 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 ________.
A

$\frac{3}{4}$

B

$\frac{3}{2}$

C

$-6$

D

$-3$

4
GATE ECE 2024
Numerical
+2
-0

A lossless transmission line with characteristic impedance $Z_0 = 50 \Omega$ is terminated with an unknown load. The magnitude of the reflection coefficient is $|\Gamma| = 0.6$. As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in $\Omega$) is _________.

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