Solving for Attenuation Constant with Power Relations

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SUMMARY

The discussion focuses on the attenuation constant (Alpha) in the context of fields, waves, and transmission lines. The attenuation constant is defined using the formula Alpha = 1/2R0(R+G|Z0|^2) and can also be derived from the expressions Z0 = √[(R+jωL) / (G+jωC)] and γ = √[(R+jωL)(G+jωC)]. The user seeks clarification on how to demonstrate that Alpha from the first equation is equivalent to Alpha derived from the second set of equations. The key challenge is identifying the relationship between Alpha, Z0, and γ in these contexts.

PREREQUISITES
  • Understanding of transmission line theory
  • Familiarity with complex impedance (Z0)
  • Knowledge of wave propagation and attenuation concepts
  • Basic grasp of electrical circuit components (R, L, G, C)
NEXT STEPS
  • Study the derivation of the attenuation constant in transmission lines
  • Learn about the relationship between impedance (Z0) and propagation constants (γ)
  • Explore the implications of power relations in wave propagation
  • Investigate the effects of resistance (R), conductance (G), and reactance on attenuation
USEFUL FOR

Electrical engineers, students in telecommunications, and professionals working with transmission line analysis will benefit from this discussion.

Mtz20
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Hello.
In fields and waves and transmission lines
We have a attenuation constant formula with power relations:
1-

Alpha = 1/2R0(R+G|Z0|^2)

2-Also we can calculate attenuation constant from these :

Z0= radical[(R+jwL) / (G+jwc)]
gamma = radical[(R+jwL)(G+jwc)]

I want show alpha from 1 equation is equal alpha from 2 equations.
What should i do ? Please help me.
 
Engineering news on Phys.org
Where is your Alpha in the second set of equations? I only see Z0 and gamma.
 

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