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For a lossless passive two-port network, |S11| and |S21| intersect at –3 dB. For a lossy passive ...

 

Q. For a lossless passive two-port network, |S11| and |S21| intersect at –3 dB. For a lossy passive two-port network, |S11| and |S21| intersect at – 4 dB.. The percentage of power dissipated in the lossy network at the intersection frequency is __. (rounded off to two decimal places)

Given:

|S11| = |S21| = -4 dB

Step 1: Convert dB into Power Ratio

|S11|2 = |S21|2 = 10-4/10

= 0.398107

Step 2: Calculate Percentage of Power Dissipated

For a passive two-port network:

Pdissipated = (1 - |S11|2 - |S21|2) × 100

Substituting the values:

= (1 - 0.398107 - 0.398107) × 100

= 20.3786%

FINAL ANSWER

20.38%

Percentage of power dissipated in the lossy network

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