GATE EC 2025 Set 1 — Question 64
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Electromagnetics → Transmission Lines → Input Impedance & Reflection
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Question
A lossless transmission line is terminated with a load of . If the average incident power on the line is , then the average power delivered to the load (in mW, rounded off to one decimal place) is __________.
Correct answer
6.3 to 6.5
Solution
Given:
Characteristic impedance
Load impedance
Average incident power Step 1: Calculate the reflection coefficient at the load.Dividing numerator and denominator by 25:Step 2: Calculate the magnitude squared of the reflection coefficient .Step 3: Calculate the average power delivered to the load .
For a lossless line, the power delivered to the load is the incident power minus the reflected power:The average power delivered to the load is .
Characteristic impedance
Load impedance
Average incident power Step 1: Calculate the reflection coefficient at the load.Dividing numerator and denominator by 25:Step 2: Calculate the magnitude squared of the reflection coefficient .Step 3: Calculate the average power delivered to the load .
For a lossless line, the power delivered to the load is the incident power minus the reflected power:The average power delivered to the load is .
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