1.

A transmission line terminates in two branches each of length λ/4 as shown. The branches are terminated by 50 Ω loads. The lines are lossless and have the characteristic impedances shown. Determine the impedance as seen by the source(a) 200 Ω (b) 100 Ω (c) 50 Ω (d) 25 Ω

Answer»

Correct option (d) 25 Ω

Explanation:

For a λ/4 line of characteristic impedance Z0 and terminated by ZL , input impedance

z1 = z20/zL

z1 = z20/zL1 = 1002/50 = 200Ω 

z2 = z20/zL2 = 1002/50 = 200Ω 

zL = z1 || z2 = 200 || 200 = 100Ω 

zi = z20/zL = 502/100 = 25Ω 



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