1
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

Consider a narrow band signal, propagating in a lossless dielectric medium $$(\varepsilon_r=4,\mu_r=1)$$, with phase velocity $$v_p$$ and group velocity $$v_g$$. Which of the following statement is true? ($$c$$ is the velocity of light in vacuum.)

A
$${v_p} > c,{v_g} > c$$
B
$${v_p} < c,{v_g} > c$$
C
$${v_p} > c,{v_g} < c$$
D
$${v_p} < c,{v_g} < c$$
2
GATE ECE 2023
MCQ (More than One Correct Answer)
+2
-0.67

The standing wave ratio on a 50 $$\Omega$$ lossless transmission line terminated in an unknown load impedance is found to be 2.0. The distance between successive voltage minima is 30 cm and the first minimum is located at 10 cm from the load. $$Z_L$$ can be replaced by an equivalent length $$l_m$$ and terminating resistance $$R_m$$ of the same line. The value of $$R_m$$ and $$l_m$$, respectively, are

GATE ECE 2023 Electromagnetics - Transmission Lines Question 3 English

A
$$R_m=100~\Omega,l_m=20~\mathrm{cm}$$
B
$$R_m=25~\Omega,l_m=20~\mathrm{cm}$$
C
$$R_m=100~\Omega,l_m=5~\mathrm{cm}$$
D
$$R_m=25~\Omega,l_m=5~\mathrm{cm}$$
3
GATE ECE 2023
MCQ (More than One Correct Answer)
+2
-0.67

The electric field of a plane electromagnetic wave is

$$E = {a_x}{C_{1x}}\cos (\omega t - \beta z) + {a_y}{C_{1y}}\cos (\omega t - \beta z + \theta )$$ V/m.

Which of the following combination(s) will give rise to a left handed elliptically polarized (LHEP) wave?

A
$${C_{1x}} = 1,{C_{1y}} = 1,\theta = \pi /4$$
B
$${C_{1x}} = 2,{C_{1y}} = 1,\theta = \pi /2$$
C
$${C_{1x}} = 1,{C_{1y}} = 2,\theta = 3\pi /2$$
D
$${C_{1x}} = 2,{C_{1y}} = 1,\theta = 3\pi /4$$
4
GATE ECE 2023
MCQ (More than One Correct Answer)
+2
-0.67

The following circuit(s) representing a lumped element equivalent of an infinitesimal sectioin of a transmission line is/are

A
GATE ECE 2023 Electromagnetics - Transmission Lines Question 4 English Option 1
B
GATE ECE 2023 Electromagnetics - Transmission Lines Question 4 English Option 2
C
GATE ECE 2023 Electromagnetics - Transmission Lines Question 4 English Option 3
D
GATE ECE 2023 Electromagnetics - Transmission Lines Question 4 English Option 4
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