# Transmission Lines · Electromagnetics · GATE ECE

Start Practice## Marks 1

GATE ECE 2017 Set 2

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 ...

GATE ECE 2017 Set 1

The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $$V(l) = {e^{ - \gamma l\, + \,j\,\ome...

GATE ECE 2016 Set 1

The propagation constant of a lossy transmission line is (2 + j5) $${m^{ - 1}}$$ and its characteristic impedance is (50 + j0) $$\Omega $$ at $$\omega...

GATE ECE 2015 Set 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 \,...

GATE ECE 2014 Set 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}$...

GATE ECE 2014 Set 2

To maximize power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $$\lambda /4$$ transformer as shown.
...

GATE ECE 2013

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.

GATE ECE 2012

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 _...

GATE ECE 2011

A transmission line of characteristic impedance 50 $$\Omega $$ is terminated by a 50 $$\Omega $$ load. When excited by a sinusoidal voltage source at ...

GATE ECE 2010

A transmission line has a characteristic impedance of 50 $$\Omega $$ and a resistance of 0.1 $$\Omega $$/m. If the line is distortionless, the attenua...

GATE ECE 2010

If the scattering matrix [S] of a two port network is $$$\left[ S \right] = \left[ {\matrix{
{0.2\,\angle \,\,{0^ \circ }} & {0.9\,\,\angle \,\...

GATE ECE 2005

Many circles are drawn in a Smith chart used for transmission line calculations. The circles shown in Fig. represent
...

GATE ECE 2002

The VSWR can have any value between

GATE ECE 2002

In an impedance Smith chart, a clockwise movement along a constant resistance circle gives rise to

GATE ECE 2001

A transmission line is distortionless if

GATE ECE 2000

The magnitudes of the open-circuit and short-circuit input impedances of a transmission line are 100$$\Omega \,$$ and 25$$\Omega \,$$ respectively. Th...

GATE ECE 1999

Assuming perfect conductors of a transmission line, pure TEM propagation is NOT possible in

GATE ECE 1998

All transmission line sections shown in Fig. have characteristic impedance $${R_0}\, + \,j0$$. The input impedance $${Z_{in}}$$ equals
...

GATE ECE 1997

A transmission line of 50$$\Omega $$ characteristic impedance is terminated with a 100 $$\Omega $$ resistance. The minimum impedance measured on the l...

GATE ECE 1996

A lossless transmission line having 50 $$\Omega $$ characteristic impedance and lenght $$\lambda /4$$ is short ciruited at one end and connected to an...

GATE ECE 1996

The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and $$Z_0$$ respectively. The velocity of a tra...

GATE ECE 1994

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)....

## Marks 2

GATE ECE 2016 Set 2

A microwave circuit consisting of lossless transmission lines $$T_1$$ and $$T_2$$ is shown in the figure. The plot shows the magnitude of the input re...

GATE ECE 2016 Set 2

A lossless microstrip transmission line consists of a trace of width w. It is drawn over a practically infinite ground plane and is separated by a die...

GATE ECE 2015 Set 3

Consider the 3 m long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of $$120\pi \,\Omega $$, is termina...

GATE ECE 2015 Set 3

A 200 m long transmission line having parameters shown in the figure is terminated into a load ܴ$$R_L$$. The line is connected to a 400 V source havin...

GATE ECE 2014 Set 2

In the transmission line shown, the impedance $${Z_{in}}$$ (in ohms) between node A and the ground is
...

GATE ECE 2014 Set 1

For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a redution...

GATE ECE 2012

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 ...

GATE ECE 2011

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 t...

GATE ECE 2010

In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ration (VSWR) on the 60W line is
...

GATE ECE 2009

A transmission line terminates in two branches, each of length $$\lambda /4$$, as shown.The branches are terminated by 50 $$\Omega $$ loads. The lines...

GATE ECE 2008

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...

GATE ECE 2007

A load of 50 $$\Omega $$ is connected in shunt in a 2-wire transmission line of $$Z_0$$ = 50 $$\Omega $$ as shown in the Fig. The 2-port scattering pa...

GATE ECE 2007

The parallel branches of a 2-wire transmission line are terminated in 100 $$\Omega $$ and 200 $$\Omega $$ resistors as shown in the Fig. The character...

GATE ECE 2005

Characteristic impedance of a transmission line is 50$$\Omega $$. Input impedance of the open-circuited line is $${Z_{oc}} = 100\, + \,j\,\,150\Omega ...

GATE ECE 2005

Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resistive load is shown in Fig.
Th...

GATE ECE 2005

Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resistive load is shown in Fig.
Th...

GATE ECE 2004

A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is 2. The percentage of the power ...

GATE ECE 2004

Consider a 300$$\Omega $$, quarter-wave long (at 1 GHz) transmission line as shown in Fig. It is connected to a 10V, 50$$\Omega $$ sources at one end ...

GATE ECE 2004

Consider an impedance Z = R + jX marked with point P in an impedance Smith chart as shown in Fig. The movement from point P along a constant resistanc...

GATE ECE 2003

A short-circuited stub is shunt connected to a transmission line as shown in Fig. If $${Z_0} = 50\,\,\Omega $$, the admittance Y seen at the junction ...

GATE ECE 1999

In a twin-wire transmission line in air, the adjacent voltage maxima are at 12.5 cm and 27.5. The operating frequency is

GATE ECE 1999

In air, a lossless transmission line of length 50 cm with $$L = 10\,\mu H/m,\,\,C = 40\,\,pF/m$$ is operated at 25 MHz. Its electrical path length is...

GATE ECE 1994

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.

GATE ECE 1993

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 trans...

GATE ECE 1992

A transmission line whose characteristic impedance is a pure resistance

GATE ECE 1991

The input impedance of a short-circuited lossless transmission line guarter wave long is

GATE ECE 1989

A 50 ohm lossless transmission line has a pure reactance of (j100) ohms as its load. The VSWR in the line is :

GATE ECE 1988

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 mat...

GATE ECE 1987

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 ...

## Marks 5

GATE ECE 2000

The three regions shown in Fig. are all lossless and non-magnetic. Find
(a) Wave impedance in mediums 2 and 3.
(b) d such that medium 2 acts as a q...

GATE ECE 1997

A $${\lambda \over 2}$$ section of a 600 $$\Omega $$ transmission line, short ciruited at one end and open circuited at the other end, is shown in Fi...

## Marks 10

GATE ECE 1990

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...