GATE EC 2020 Set 1 — Question 31
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Electromagnetics → Transmission Lines → Impedance Matching (Stub, λ/4)
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Question
A transmission line of length and having a characteristic impedance of is terminated with a load of . The impedance (rounded off to two decimal places) seen at the input end of the transmission line is ________ .
Correct answer
6.25 to 6.25
Solution
For a transmission line of length l = rac{3\lambda}{4}, which is an odd multiple of , the input impedance is given by the impedance inversion formula:
Z_{in} = rac{Z_0^2}{Z_L}
Given:
Characteristic impedance
Load impedance
Z_{in} = rac{50^2}{400} = rac{2500}{400} = 6.25\ \Omega.
Z_{in} = rac{Z_0^2}{Z_L}
Given:
Characteristic impedance
Load impedance
Z_{in} = rac{50^2}{400} = rac{2500}{400} = 6.25\ \Omega.
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