Signal amplitude and reflected energy at impedance boundary

  • Thread starter Thread starter p834
  • Start date Start date
  • Tags Tags
    Impedance
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views
p834
Messages
3
Reaction score
0

Homework Statement


An aerial feeder cable (characteristic impedance 75Ω) is connected to a long cable of characteristic impedance 120Ω. If a 100μV signal is received at the aerial, calculate the amplitude of the signal transmitted into the second cable. What fraction of energy is carried by the reflected wave from the change in impedance boundary? Show that the incident power = reflected power + transmitted power

But I am struggling with the other 2 parts, any ideas?
Thanks!


Homework Equations


For the second part of the question, I believe that you have to use the equation:
(16Z(0)^2 * Z(1)^2) / ((Z(0) + Z(1))^4)


The Attempt at a Solution

 
Physics news on Phys.org
For the first part, I used the voltage divider formula:V2 = V1 * (Z2 / (Z1 + Z2))V2 = 100μV * (120Ω / (75Ω + 120Ω))V2 = 100μV * (120Ω / 195Ω)V2 = 61.03μV