GATE ECE 2020 | Transmission Lines Question 10 | Electromagnetics

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GATE ECE 2020

MCQ (Single Correct Answer)

-0.33

The impedances $Z=j X$, for all $X$ in the range ( $-\infty, \infty$ ), map to the Smith chart as

a circle of radius 1 with centre at $(0,0)$.

a line passing through the centre of the chart.

a circle of radius 0.5 with centre at $(0.5,0)$.

a point at the centre of the chart.

GATE ECE 2017 Set 2

Numerical

-0

A two wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of power that is reflected from the television set is

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GATE ECE 2017 Set 1

Numerical

-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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GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-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,

$$\matrix{ {L = \,200\,\mu H/\,m,\,C = 0.1\,\,\mu F/\,m,\,} \cr {R = 50\,\,\Omega /m,\,G = 0.02\,S/m,} \cr } $$

$${\matrix{ {L = \,250\,\mu H/\,m,\,C = 0.1\,\,\mu F/\,m,\,} \cr {R = 100\,\,\Omega /m,\,G = 0.04\,S/m,} \cr } }$$

$${\matrix{ {L = \,200\,\mu H/\,m,\,C = 0.2\,\,\mu F/\,m,\,} \cr {R = 100\,\,\Omega /m,\,G = 0.02\,S/m,} \cr } }$$

$${\matrix{ {L = \,250\,\mu H/\,m,\,C = 0.2\,\,\mu F/\,m,\,} \cr {R = 50\,\,\Omega /m,\,G = 0.04\,S/m,} \cr } }$$

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