The Voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is Vl - e- l-j- t Volts- where l is the distance along the length of the cable is meters- - -0-1-j40m-1 is the complex propagation constant- and - -2- 109 rad-s is the angular frequency- The absolute value of the attenuation in the cable in dB-meter is

V(l)= V_0e^ α le^ jβ le^jω t Attenuation = | Input | | Output |= | V_0(0) | | V_0(l) | Attenuation per meter = | V_0 | | V_0(1m) |=e^α Attenuation in dB ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Lossless, Distortionless & Low Loss Transmission Line

The Voltage o...

Question

The Voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is V(l) = $e^{- γ l + j ω t}$ Volts, where l is the distance along the length of the cable is meters, $γ = (0.1 + j 40) m^{- 1}$ is the complex propagation constant, and $ω = 2 π \times 10^{9}$ rad/s is the angular frequency. The absolute value of the attenuation in the cable in dB/meter is
0.868

Open in App

Solution

The correct option is A 0.868
$V (l) = V_{0} e^{- α l} e^{- j β l} e^{j ω t}$

Attenuation = $\frac{| I n p u t |}{| O u t p u t |} = \frac{| V_{0} (0) |}{| V_{0} (l) |}$

Attenuation per meter = $\frac{| V_{0} |}{| V_{0} (1 m) |} = e^{α}$

Attenuation in dB/m = $(20 l o g e^{α}) d B / m$

= 20(0.1)loge = 0.868 dB/m

Suggest Corrections

Similar questions

Q. Suppose that a transmitter operating at

10^{8}

bps is connected to one end of a 230 km length of coaxial cable. The signal propagation speed in the cable is 230000 km/sec, If packet switching is used with a packet length of 2000 bits, how many packets have been transmitted and are propagating along the cable when the first bit reaches the other end?

Q. In the following figure, the transmitter

T_{x}

sends a wideband modulated RF signal via a coaxial cable to the receiver

R_{x}

. The output impedance

Z_{T}

T_{x}

. The characteristic impedance

Z_{0}

of the cable and the input impedance

Z_{R}

R_{x}

are all real.

Which one of the following statements is TRUE about the distortion of the received signal due to impedance mismatch?

A l o s s l e s s c o a x i a l c a b l e h a s t h e t w o - c o n d u c t i o n d i a m e t e r r a t i o o f 2.0 . T h e c h a r a c t e r i s t i c i m p e d a n c e (Z_{0}) i s_____Ω (a s s u m i n g a f i l l i n g o f d i e l e c t r i c w i t h ε_{r} = 2.025) .

Q. An electromagnetic travels in a conducting medium with a high attenuation rate. The E and H field harmonics have a time delay (due to phase delay) whose value is 5 ns. The frequency of propagating wave is ______ MHz.

Join BYJU'S Learning Program

The correct option is A 0.868V(l)=V0e−αle−jβlejωt Attenuation = |Input||Output|=|V0(0)||V0(l)| Attenuation per meter = |V0||V0(1m)|=eα Attenuation in dB/m = (20logeα)dB/m = 20(0.1)loge = 0.868 dB/m