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An overhead line with surge impedance 400 ohm is terminated through a cable of impedance Zc. A surcharge travelling over the line does NOT suffer any reflection at the junction. The value of Zc is
- a)40 ohms
- b)500 ohms
- c)450 ohms
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
An overhead line with surge impedance 400 ohm is terminated through a ...
When a loss-free overhead transmission line is terminated through a resistance equal to surge Impedance of the line, there will be no reflection of travelling wave hence the value of R is 400 Ω.
Important Points:
The surge impedance or characteristic impedance of a long transmission line is given by,
Z is series impedance per unit length per phase
Y is shunt admittance per unit length per phase
Surge Impedance for the transmission line is about 400 ohms it is around 40 ohms for underground cables.
Surge impedance loading (SIL):
Surge impedance loading is defined as the power load in which the total reactive power of the lines becomes zero. The reactive power generated by the shunt capacitance is consumed by the series inductance of the line.
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Community Answer
An overhead line with surge impedance 400 ohm is terminated through a ...
Explanation:
To find the value of Zc, we need to analyze the conditions given in the problem statement.
Surge Impedance:
Surge impedance is the characteristic impedance of a transmission line, which is defined as the ratio of voltage to current for a traveling wave on the line. In this case, the surge impedance of the overhead line is given as 400 ohms.
No Reflection at the Junction:
According to the problem statement, there is no reflection at the junction where the overhead line is terminated with the cable. This implies that there is no impedance mismatch between the line and the cable, resulting in no reflected waves.
Implication:
When there is no reflection at the junction, it means that the impedance of the cable (Zc) must be equal to the surge impedance of the overhead line (400 ohms). This is because for a traveling wave to pass through the junction without any reflection, the impedances on both sides of the junction must match.
Answer:
Since the surge impedance of the overhead line is given as 400 ohms and there is no reflection at the junction, the value of Zc (impedance of the cable) must also be 400 ohms.
Therefore, the correct answer is option 'D' - None of these.
Summary:
In this problem, we analyzed the conditions given in the problem statement, including the surge impedance of the overhead line and the absence of reflection at the junction. By applying the concept of impedance matching, we concluded that the impedance of the cable must be equal to the surge impedance of the overhead line. Hence, the correct answer is none of the given options.
To find the value of Zc, we need to analyze the conditions given in the problem statement.
Surge Impedance:
Surge impedance is the characteristic impedance of a transmission line, which is defined as the ratio of voltage to current for a traveling wave on the line. In this case, the surge impedance of the overhead line is given as 400 ohms.
No Reflection at the Junction:
According to the problem statement, there is no reflection at the junction where the overhead line is terminated with the cable. This implies that there is no impedance mismatch between the line and the cable, resulting in no reflected waves.
Implication:
When there is no reflection at the junction, it means that the impedance of the cable (Zc) must be equal to the surge impedance of the overhead line (400 ohms). This is because for a traveling wave to pass through the junction without any reflection, the impedances on both sides of the junction must match.
Answer:
Since the surge impedance of the overhead line is given as 400 ohms and there is no reflection at the junction, the value of Zc (impedance of the cable) must also be 400 ohms.
Therefore, the correct answer is option 'D' - None of these.
Summary:
In this problem, we analyzed the conditions given in the problem statement, including the surge impedance of the overhead line and the absence of reflection at the junction. By applying the concept of impedance matching, we concluded that the impedance of the cable must be equal to the surge impedance of the overhead line. Hence, the correct answer is none of the given options.
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