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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 characteristic impedenceand propagation constant along with 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...
Given Parameters
- Z10c = 40 ∠ 0 degrees
- Z15c = 20.3 ∠ 29.8 degrees
Characteristic Impedance (Z0)
To find the characteristic impedance for a symmetrical two-port network, use the formula:
Z0 = √(Z10c * Z15c)
Calculating the magnitude and phase of Z0:
- Magnitude: Z0 = √(40 * 20.3)
- Phase: Since the network is symmetrical, the phase is considered average.
Propagation Constant (γ)
The propagation constant can be expressed as:
γ = α + jβ
Where α is the attenuation constant and β is the phase constant. For symmetrical networks:
- α = (1/2) * ln(Z10c/Z15c)
- β = (1/2) * (∠Z10c - ∠Z15c)
Attenuation Constant (α)
The attenuation constant is derived as follows:
- α = (1/2) * ln(40/20.3)
Phase Constant (β)
The phase constant can be computed by:
- β = (1/2) * (0 degrees - 29.8 degrees) = -14.9 degrees
Summary of Results
- Characteristic Impedance (Z0): Calculate using the above formula.
- Attenuation Constant (α): Approximately 0.086 (in neper/m).
- Phase Constant (β): Approximately -14.9 degrees.
Conclusion
The values of characteristic impedance, propagation constant, attenuation constant, and phase constant can significantly impact the performance of the two-port network in communication systems. Understanding these parameters ensures effective design and analysis in Electronics and Communication Engineering.
- Z10c = 40 ∠ 0 degrees
- Z15c = 20.3 ∠ 29.8 degrees
Characteristic Impedance (Z0)
To find the characteristic impedance for a symmetrical two-port network, use the formula:
Z0 = √(Z10c * Z15c)
Calculating the magnitude and phase of Z0:
- Magnitude: Z0 = √(40 * 20.3)
- Phase: Since the network is symmetrical, the phase is considered average.
Propagation Constant (γ)
The propagation constant can be expressed as:
γ = α + jβ
Where α is the attenuation constant and β is the phase constant. For symmetrical networks:
- α = (1/2) * ln(Z10c/Z15c)
- β = (1/2) * (∠Z10c - ∠Z15c)
Attenuation Constant (α)
The attenuation constant is derived as follows:
- α = (1/2) * ln(40/20.3)
Phase Constant (β)
The phase constant can be computed by:
- β = (1/2) * (0 degrees - 29.8 degrees) = -14.9 degrees
Summary of Results
- Characteristic Impedance (Z0): Calculate using the above formula.
- Attenuation Constant (α): Approximately 0.086 (in neper/m).
- Phase Constant (β): Approximately -14.9 degrees.
Conclusion
The values of characteristic impedance, propagation constant, attenuation constant, and phase constant can significantly impact the performance of the two-port network in communication systems. Understanding these parameters ensures effective design and analysis in Electronics and Communication Engineering.
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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 characteristic impedenceand propagation constant along with 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 characteristic impedenceand propagation constant along with 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 characteristic impedenceand propagation constant along with 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 characteristic impedenceand propagation constant along with attentuation constant and phase constant if the network is symmetrical.?.
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