Bissoy.com
Doctors Medicines MCQs Q&A

A travelling wave of magnituide 100 V in transmission line of surge impedance 400 Ω passes into a cable of surge impedance 50 Ω. What will be the magnitude of the wave while travelling in the cable?

A travelling wave of magnituide 100 V in transmission line of surge impedance 400 Ω passes into a cable of surge impedance 50 Ω. What will be the magnitude of the wave while travelling in the cable? Correct Answer 20 V

Concept:

Transmitted voltage V" = V + V’

Transmitted current I" = I + I’

Where,

V’ = Reflected voltage

V = Incident voltage

I’ = Reflected current

I = Incident current

Transmission or reflection coefficient of voltage TV = V"/V

Transmission or reflection coefficient of current Ti = I”/I

Tv = V”/V = 2Zs/(Z1 + Zs)

Where,

Z1 = Surge impedance of load

Zs = Surge impedance of cable

Calculation:

Z1 = Surge impedance of load = 400 Ω

Zs = Surge impedance of cable = 50 Ω

V" = 100 × 2 × 50/450 = 22.22 V ≈ 20 V

Related Questions

For a lossy transmission line, γ=0.02+j0.15 and is 20m long. The line is terminated with an impedance of a 400Ω. Then the input impedance of the transmission line given that the characteristic impedance of the transmission line is 156.13+j11.38Ω is:
If the transmission co-efficient T₁ of a transmission line is 1.333 and the characteristic impedance of the λ/4 transmission line used is 100Ω, then the characteristic impedance of the transmission line is:
The characteristic impedance of the transmission line if the outer diameter and inner diameter of the transmission line is 20 mm and 10 mm respectively, given the intrinsic impedance of the medium is 377 Ω, then the characteristic impedance of the transmission line is:
For a transmission line , if the input impedance of the transmission line is 100Ω with a characteristic impedance of 150Ω, then the magnitude of the reflection co efficient:
In the following figure, the transmitter Tx sends a wideband modulated RF signal via a coaxial cable to the receiver Rx. The output impedance ZT of Tx, the characteristic impedance Z0 of the cable, and the input impedance ZR of Rx are all real. Which one of the following statements is TRUE about the distortion of the received signal due to impedance mismatch?
A 240 kV 2μs rectangular pulse surge on a transmission line has surge impedance of 350 ohms. It approaches a generating station with capacitance of 3000 pF. The transmitted voltage will be ____________
S1: Instantly the full load yanked Gordy towards the side of the bridge.
P: But the pull of the cable was too much.
Q: He could hardly feel the cable, slipping through his fingers, ripping off his gloves, and streaking over the railing like an escaping snake.
R: It smashed his hands hard against the top of the railing, causing a split - second feeling of fierce pain followed by numbness.
S: He held on to the cable; it had been hard work lifting it, and he did not want to have to start over again.
S6: Feeling a sharp burning sensation where the cable was speeding between his things, Gordy rose on tiptoe and as he did, the slithering coil of cable tightened around his left foot and yanked him over the railing.

The Proper sequence should be:
A telephone switchboard 100 pair cable can be made up with either enameled wire or tinned wire. There will be 400 soldered connections. The cost of soldering a connection on the enameled wire will be P 1.65 on the tinned wire, it will be P 1.15. A 100- pair cable made up with enameled wire cost P 0.55 per linear foot and those made up of tinned wire cost P 0.75 per linear foot. Determine the length of cable run in feet so that the cost of each installation would be the same.
When a transmission line of characteristic impedance(50Ω) zₒ is matched to a load by a λ/4 transmission line of characteristic impedance 100Ω, then the transmission co efficient is:
The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and Z respectively. The velocity of a travelling wave on the transmission line is