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One end of a loss-less transmission line having the characteristic impedance of 75Ω and length of 1 cm is short-circuited. At 3GHz, the input impedance at the other end of the transmission line is

1. (A) 0
2. (B) Resistive
3. (C) Capacitive
4. (D) Inductive

Correct answer: (D) Inductive

Solution

When a transmission line is short-circuited at one end, the input impedance at the other end can be determined by considering the line's length and frequency. At 3GHz, the wavelength is short enough that the line behaves like an inductor, resulting in an inductive input impedance.

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