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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.?
Most Upvoted Answer
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.
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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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