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Solved Problems-4

Problems-4
  1. The following equations give the voltages V1 and V2 at the two ports of a two port network, V1 = 5I1+2I2 , V2 = 2I1+I2 ;
     
    A load resistance of 3 Ω is connected across port-2. Calculate the input impedance.
  2. The z-parameters of a two port network are z11 = 5 Ω, z22 = 2 Ω, z12 z21 = 3 Ω. Load resistance of 4 Ω is connected across the output port. Calculate the input impedance.
Solution
  1. From the given equations,
V1 = 5I1 + 2I2  (i)
 
V2 = 2I1 + I2  (ii)
 
At the output, V2 = – I2RL = – 3I2
 
Putting this value in (ii),
 
– 3I2 = 2I1 + I2 fi I2 = – I1/2
 
Putting in (i), V1 = 5I1 + Description: Description: 3844.png = 4I1
 
∴ Input impedance, Zin = Description: Description: 3853.png
  1. [Same as Prob. (a)] Zin = Description: Description: 3859.png = 3.5Ω




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