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If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.?
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If the measurement made on a box enclosing a two port network are Z10c...
Introduction
To determine the attenuation constant and phase constant of a symmetrical two-port network, we will utilize the provided impedance measurements: Z10c = 40 angle 0 degrees and Z15c = 20.3 angle 29.8 degrees.
Understanding the Measurements
- Z10c: Represents the input impedance at port 1 (Z11 or Z1).
- Z15c: Represents the input impedance at port 2 (Z22 or Z2).
Symmetry in the Network
Since the network is symmetrical, we can equate Z11 and Z22, and Z12 and Z21. Thus, we can analyze the input and output impedances further because:
- Z11 = Z22
- Z12 = Z21
Calculating the Attenuation Constant (α)
1. Magnitude Calculation:
- Z10c = 40 (magnitude).
- Z15c = 20.3 (magnitude).
2. Attenuation Constant:
- α = (1/2) * ln(Z10/Z15)
- Substitute values: α = (1/2) * ln(40/20.3).
Calculating the Phase Constant (β)
1. Phase Calculation:
- Phase of Z10c = 0 degrees.
- Phase of Z15c = 29.8 degrees.
2. Phase Constant:
- β = (1/2) * (Phase(Z10) - Phase(Z15)).
- Substitute values: β = (1/2) * (0 - 29.8).
Conclusion
By performing these calculations, you can derive the specific values for the attenuation constant (α) and phase constant (β) of the network. These parameters are essential for understanding the behavior of the two-port network in signal transmission and analyzing performance in various applications.
To determine the attenuation constant and phase constant of a symmetrical two-port network, we will utilize the provided impedance measurements: Z10c = 40 angle 0 degrees and Z15c = 20.3 angle 29.8 degrees.
Understanding the Measurements
- Z10c: Represents the input impedance at port 1 (Z11 or Z1).
- Z15c: Represents the input impedance at port 2 (Z22 or Z2).
Symmetry in the Network
Since the network is symmetrical, we can equate Z11 and Z22, and Z12 and Z21. Thus, we can analyze the input and output impedances further because:
- Z11 = Z22
- Z12 = Z21
Calculating the Attenuation Constant (α)
1. Magnitude Calculation:
- Z10c = 40 (magnitude).
- Z15c = 20.3 (magnitude).
2. Attenuation Constant:
- α = (1/2) * ln(Z10/Z15)
- Substitute values: α = (1/2) * ln(40/20.3).
Calculating the Phase Constant (β)
1. Phase Calculation:
- Phase of Z10c = 0 degrees.
- Phase of Z15c = 29.8 degrees.
2. Phase Constant:
- β = (1/2) * (Phase(Z10) - Phase(Z15)).
- Substitute values: β = (1/2) * (0 - 29.8).
Conclusion
By performing these calculations, you can derive the specific values for the attenuation constant (α) and phase constant (β) of the network. These parameters are essential for understanding the behavior of the two-port network in signal transmission and analyzing performance in various applications.
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If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.?
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If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.?.
If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the measurement made on a box enclosing a two port network are Z10c = 40angle 0 degree, Z15c = 20.3 angle 29.8 degree . Find the values of attentuation constant and phase constant if the network is symmetrical.?.
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