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The propagation constant for a lossless transmission line will be
- a)Real
- b)Complex
- c)Real and equal to phase constant
- d)Complex and equal to phase constant
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The propagation constant for a lossless transmission line will bea)Rea...
Answer: d
Explanation: The propagation constant is given by γ = α + jβ, where α and β are the attenuation and phase constants respectively. For a lossless line, the attenuation constant is zero. Thus γ = jβ. It is clear that γ is complex and equal to β.
Explanation: The propagation constant is given by γ = α + jβ, where α and β are the attenuation and phase constants respectively. For a lossless line, the attenuation constant is zero. Thus γ = jβ. It is clear that γ is complex and equal to β.
Most Upvoted Answer
The propagation constant for a lossless transmission line will bea)Rea...
Propagation constant for a lossless transmission line can be explained as follows:
Definition of Propagation Constant:
The propagation constant, represented by the symbol γ (gamma), is a measure of how a signal propagates along a transmission line. It is a complex quantity that combines both the phase constant and the attenuation constant of the transmission line.
Explanation:
- In the case of a lossless transmission line, there is no power loss or attenuation. This means that the attenuation constant is zero.
- The phase constant, represented by the symbol β (beta), is a measure of the phase shift that occurs as a signal propagates along the transmission line. It is a real quantity.
- The propagation constant is a combination of both the phase constant and the attenuation constant. Since the attenuation constant is zero for a lossless line, the propagation constant will only consist of the phase constant.
- Since the phase constant is real, the propagation constant for a lossless transmission line will also be real.
- However, the propagation constant can still be represented as a complex quantity to incorporate the phase shift.
Conclusion:
Hence, the correct option is 'D' - the propagation constant for a lossless transmission line is complex and equal to the phase constant. While the propagation constant is real, it can still be represented as a complex number to account for the phase shift in the transmission line.
Definition of Propagation Constant:
The propagation constant, represented by the symbol γ (gamma), is a measure of how a signal propagates along a transmission line. It is a complex quantity that combines both the phase constant and the attenuation constant of the transmission line.
Explanation:
- In the case of a lossless transmission line, there is no power loss or attenuation. This means that the attenuation constant is zero.
- The phase constant, represented by the symbol β (beta), is a measure of the phase shift that occurs as a signal propagates along the transmission line. It is a real quantity.
- The propagation constant is a combination of both the phase constant and the attenuation constant. Since the attenuation constant is zero for a lossless line, the propagation constant will only consist of the phase constant.
- Since the phase constant is real, the propagation constant for a lossless transmission line will also be real.
- However, the propagation constant can still be represented as a complex quantity to incorporate the phase shift.
Conclusion:
Hence, the correct option is 'D' - the propagation constant for a lossless transmission line is complex and equal to the phase constant. While the propagation constant is real, it can still be represented as a complex number to account for the phase shift in the transmission line.
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