 #1
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Homework Statement
Calculate the insertion loss of the Tnetwork given the values:
Rs = 75Ω
Rl = 100Ω
Ra = 13Ω
Rb = 13Ω
Rc = 213Ω
The transmission matrix and Network are below:
2. Homework Equations
The Attempt at a Solution
Constructing the matrix:
A = 1+Ra/Rc = 1+13/213 = 1.061
B = Ra+Rb+(Ra*Rb)/Rc = 13+13+(13*13)/213 = 26.7934
C = 1/Rc = 1/213 = 0.004694
D = 1+Rb/Rc = 1+13/213 = 1.061
[ A B ] = [ 1.061 26.7934 ]
[ C D ] = [ 0.004694 1.061 ]
Insertion Loss Ail = 20log [ (ARl+B+(C*Rl+D)*Rs) / ( Rs + Rl ) ]
= 20log [ (1.061*100+26.7934+(0.00469*100+1.061)*75) / (75+100) ]
=20log [ 247.6434 / 175 ]
=20log [ 1.415 ]
=3.015 db
Would someone be able to advise if this is correct, seems far too simple to be correct. Any help is appreciated and thanks in advance.
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