1
GATE ECE 2017 Set 1
Numerical
+1
-0
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $$V(l) = {e^{ - \gamma l\, + \,j\,\omega \,t}}$$ Volts, where $$l$$ is the distance along the length of the cable in metres, $$\gamma = (0.1\, + \,j40)\,\,{m^{ - 1}}$$ is the complex propagation constant, and $$\omega = \,2\,\pi \,\, \times \,\,{10^9}$$ rad/s is the angular frequency. The absolute value of the attenuation in the cable in dB/metre is ___________________.
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2
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The propagation constant of a lossy transmission line is (2 + j5) $${m^{ - 1}}$$ and its characteristic impedance is (50 + j0) $$\Omega $$ at $$\omega = \,{10^6}\,rad\,{S^{ - 1}}$$. The values of the line constants L, C, R, G are, respectively,
A
$$\matrix{ {L = \,200\,\mu H/\,m,\,C = 0.1\,\,\mu F/\,m,\,} \cr {R = 50\,\,\Omega /m,\,G = 0.02\,S/m,} \cr } $$
B
$${\matrix{ {L = \,250\,\mu H/\,m,\,C = 0.1\,\,\mu F/\,m,\,} \cr {R = 100\,\,\Omega /m,\,G = 0.04\,S/m,} \cr } }$$
C
$${\matrix{ {L = \,200\,\mu H/\,m,\,C = 0.2\,\,\mu F/\,m,\,} \cr {R = 100\,\,\Omega /m,\,G = 0.02\,S/m,} \cr } }$$
D
$${\matrix{ {L = \,250\,\mu H/\,m,\,C = 0.2\,\,\mu F/\,m,\,} \cr {R = 50\,\,\Omega /m,\,G = 0.04\,S/m,} \cr } }$$
3
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon $$\left( {{\varepsilon _r} = 2.1,\,\,\tan \,\,\delta = \,0} \right)$$. Which one of the following circuits can represent the lumped element model of a small piece of this cable having length $$\Delta \,\,z\,\,?$$
A
GATE ECE 2015 Set 3 Electromagnetics - Transmission Lines Question 41 English Option 1
B
GATE ECE 2015 Set 3 Electromagnetics - Transmission Lines Question 41 English Option 2
C
GATE ECE 2015 Set 3 Electromagnetics - Transmission Lines Question 41 English Option 3
D
GATE ECE 2015 Set 3 Electromagnetics - Transmission Lines Question 41 English Option 4
4
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
In the following figure, the transmitter Tx sends a wideband modulated RF signal via a coaxial cable to the receiver Rx. The output impedance $${Z_T}$$ of Tx, the characteristic impedance $${Z_0}$$ of the cable and the input impedance $${Z_R}$$ of Rx are all real. GATE ECE 2014 Set 3 Electromagnetics - Transmission Lines Question 13 English Which one of the following statements is TRUE about the distortion of the received signal due to impedance mismatch?
A
The signal gets distorted if $${Z_R}\, \ne \,{Z_0}$$ , irrespective of the value of $${Z_T}$$
B
The signal gets distorted if $${Z_T}\, \ne \,{Z_0}$$, irrespective of the value of $${Z_R}$$
C
Signal distortion implies impedance mismatch at both ends: $${Z_T}\, \ne \,{Z_0}$$ and $${Z_R}\, \ne \,{Z_0}$$
D
Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency
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