Transmission Lines
GATE Electronics & Communication · 41 questions across 28 years (1987-2025) · 70% recurrence rate
Recurrence sparkline
1987–2025Difficulty mix
Question types
All 41 questions on Transmission Lines
A $50 \Omega$ lossless transmission line is terminated with a load $Z_L$ of $(50-j 75) \Omega$. If the average incident power on the line is 10 mW , then the average power delivered to the load (in mW , rounded off to on...
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...
A lossless transmission line with characteristic impedance Z₀ = 50 Ω is terminated with an unknown load. The magnitude of the reflection co-efficient is |Γ| = 0.6. As one moves towards the generator from the load, the ma...
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 th...
The standing wave ratio on a 50 Ω 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 f...
The following circuit(s) representing a lumped element equivalent of an infinitesimal section of a transmission line is/are
The following circuit(s) representing a lumped element equivalent of an infinitesimal sectioin of a transmission line is/are
The impedances $Z=j X$, for all $X$ in the range ( $-\infty, \infty$ ), map to the Smith chart as
A transmission line of length $3 \lambda / 4$ and having a characteristic impedance of $50 \Omega$ is terminated with a load of $400 \Omega$. The impedance (rounded off to two decimal places) seen at the input end of the...
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 c...
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
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,...
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 rep...
For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a redution of the spacing between the plates by a factor of two results in
A two - port network has scattering parameters given by $$[S]$$ $$ = \left[ {\matrix{ {{s_{11}}} & {{s_{12}}} \cr {{s_{21}}} & {{s_{22}}} \cr } } \right].$$ If the port - 2 of the two - port is short circuited, the $${{s...
The return loss of a device is found to be 20 dB. The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively.
A coaxial cable with an inner diameter of 1 mm and outer diameter of 2.4 mm is filled with a dielectric of relative permittivity 10.89. Given $${\mu _0} = \,4\,\pi \, \times \,{10^{ - 7}}$$ $$H/m,\,\,{\varepsilon _0} = {...
A transmission line with a characteristic impedance of 100 $$\Omega $$ is used to match a 50 $$\Omega $$ section to a 200 $$\Omega $$ section. If the matching is to be done both at 429 MHz and 1 GHz, the tength of the tr...
A transmission line of characteristic impedance 50 $$\Omega $$ is terminated by a 50 $$\Omega $$ load. When excited by a sinusoidal voltage source at 10 GHz, the phase difference between two points spaced 2 mm apart on t...
A transmission line of characteristic impedance 50 $$\Omega $$ is terminated in a load impedance $$Z_L$$. The VSWR of the line is measured as 5 and the first of the voltage naxima in the line is observed at a distance of...
A transmission line has a characteristic impedance of 50 $$\Omega $$ and a resistance of 0.1 $$\Omega $$/m. If the line is distortionless, the attenuation constant (in Np/m) is
If the scattering matrix [S] of a two port network is $$$\left[ S \right] = \left[ {\matrix{ {0.2\,\angle \,\,{0^ \circ }} & {0.9\,\,\angle \,\,{{90}^ \circ }} \cr {0.9\,\angle \,\,{{90}^ \circ }} & {0.1\,\angle \,{{90}^...
One end of loss-less transmission line having the characteristic impedance of 75 $$\Omega $$ and length of 1 cm is short-ciruited. At 3 GHz, the input impedance at the other end of the transmission line is
Characteristic impedance of a transmission line is 50$$\Omega $$. Input impedance of the open-circuited line is $${Z_{oc}} = 100\, + \,j\,\,150\Omega .$$ When the transmission line is short-circuited the value of the inp...
The VSWR can have any value between
In an impedance Smith chart, a clockwise movement along a constant resistance circle gives rise to
A transmission line is distortionless if
The magnitudes of the open-circuit and short-circuit input impedances of a transmission line are 100$$\Omega \,$$ and 25$$\Omega \,$$ respectively. The characteristic impedance of the line is
In a twin-wire transmission line in air, the adjacent voltage maxima are at 12.5 cm and 27.5. The operating frequency is
A transmission line of 50$$\Omega $$ characteristic impedance is terminated with a 100 $$\Omega $$ resistance. The minimum impedance measured on the line is equal to
A lossless transmission line having 50 $$\Omega $$ characteristic impedance and lenght $$\lambda /4$$ is short ciruited at one end and connected to an ideal voltage sourec of 1 V at the other end. The current drawn from...
The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and $$Z_0$$ respectively. The velocity of a traveling wave on the transmission line is
A load impedance (200 + j0) $$\Omega $$ is to be matched to a 50$$\Omega $$ lossless transmission line by using a quarter wave line transformer (QWT). The characteristic impedance of the QWT required is
If a pure resistance load, when connected to a lossless 75-ohm line, produces a VSWR of 3 on the line, then the load impedance can only be 25 ohms.
Consider a transmission line of characteristic impedance 50 ohm. Let it be terminated at one end by ( + j50) ohm. The VSWR produced by it in the transmission line will be
A transmission line whose characteristic impedance is a pure resistance
The input impedance of a short-circuited lossless transmission line guarter wave long is
A 200 volt (r. m. s) generator having an internal resistance of 200 ohm is feeding a loss-less transmission line. The characteristic impedance and the length of the line are 200 ohm and 10 m respectively. The line is ter...
A 50 ohm lossless transmission line has a pure reactance of (j100) ohms as its load. The VSWR in the line is :
A two - wire transmission line of characteristic impedance $$Z_0$$ is connected to a load of impedance $${Z_L}({Z_L}\, \ne \,\,{Z_0})$$. Impedance matching cannot be achieved with
A transmission line of pure resistive characteristic impedance is terminated with an unknown load. The measured value of VSWR on the line is equal to 2 and a voltage minimum point is found to be at the load. The load imp...