Problem

A 100-MHz FM broadcast station uses a 300- Ω transmission line between the transmitter and...

A 100-MHz FM broadcast station uses a 300- Ω transmission line between the transmitter and a tower-mounted half-wave dipole antenna. The antenna impedance is 73 Ω. You are asked to design a quarter-wave transformer to match the antenna to the line.

(a) Determine the electrical length and characteristic impedance of the quarter-wave section.

(b) If the quarter-wave section is a two-wire line with D = 2.5 cm, and the wires are embedded in polystyrene with εr = 2.6, determine the physical length of the quarter-wave section and the radius of the two wire conductors.

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