Power reflectoin coefficient of EM Radiation on a good conductor

Click For Summary
SUMMARY

The discussion centers on the calculation of the power reflection coefficient of electromagnetic radiation on a good conductor, utilizing the formula Pwr Ref Coeff: (Z'-Z)/(Z'+Z) all squared. Participants identified a sign error in the calculations and noted mistakes in handling the complex conjugate of the denominator. The issue of retaining imaginary components in the numerator was emphasized, indicating a common pitfall in such calculations. Ultimately, the original poster acknowledged the error but was still unable to arrive at the correct answer.

PREREQUISITES
  • Understanding of electromagnetic theory, particularly wave reflection.
  • Familiarity with complex numbers and their manipulation.
  • Knowledge of impedance (Z) in electrical engineering contexts.
  • Experience with power reflection coefficients in physics.
NEXT STEPS
  • Review the derivation of the power reflection coefficient formula in electromagnetic theory.
  • Study the properties of complex conjugates and their application in impedance calculations.
  • Learn about the behavior of electromagnetic waves at boundaries between different media.
  • Explore numerical methods for solving complex equations in physics problems.
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone involved in the study of electromagnetic wave interactions with materials, particularly conductors.

Plutoniummatt
Messages
45
Reaction score
0

Homework Statement



http://i258.photobucket.com/albums/hh258/Plutoniummatt/Untitled-1-2.jpg
Untitled-1-2.jpg


Homework Equations



Pwr Ref Coeff:

(Z'-Z)/(Z'+Z) all squared

I maybe made a mistake but i can't spot it. And its bugging me
I did square the whole thing afterward for the power...but i just have a sign error

The Attempt at a Solution



http://i258.photobucket.com/albums/hh258/Plutoniummatt/PhysicsBSupervision7.jpg

Please note that in negating one of my terms I underlined the wrong things, I did not negate u0/e0. but everything else in the demoninator because they are much smaller
 
Last edited by a moderator:
Physics news on Phys.org
I don't know how to do the problem, but I do know that you made a mistake when you multiplied the numerator by the complex conjugate of the denominator. The i's don't go away for the numerator.
 
JaWiB said:
I don't know how to do the problem, but I do know that you made a mistake when you multiplied the numerator by the complex conjugate of the denominator. The i's don't go away for the numerator.



Yep I realized that shortly after posting...It still doesn't give the right answer
 

Similar threads

What are the boundary conditions for the finite square-well potential at x=0?
  • · Replies 18 ·
Replies
18
Views
7K
Calculating Bx for Two Coaxial Cylindrical Conductors
  • · Replies 16 ·
Replies
16
Views
9K
Geodesics in a Given, Arbitrary Metric, dt Coefficient Only
  • · Replies 1 ·
Replies
1
Views
2K
Graduate EM Wave in Plasma: Reflection, Attenuation & Radiated Power
  • · Replies 3 ·
Replies
3
Views
2K
How is Power Transported Down Cables in Electrodynamics Problems?
  • · Replies 2 ·
Replies
2
Views
7K
How Far Do the Blocks Slide After Spring Release?
  • · Replies 4 ·
Replies
4
Views
3K
Can someone tell me if conduction is more powerful than induction?
  • · Replies 1 ·
Replies
1
Views
17K
Graduate Quadrupole Decay Rate E2 Angular Dependence
  • · Replies 1 ·
Replies
1
Views
2K