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If the radii of two conductors are r1 (feed arm), r2 (non feed arm) and separated by a distance,then the impedance transformation for a half folded dipole is given by _______(a) \(\left(1+\frac{log⁡(\frac{a}{r1})}{log⁡(\frac{a}{r2})}\right)^2\)(b) \(73\left(1+\frac{log⁡(\frac{a}{r1})}{log⁡(\frac{a}{r2})}\right)^2\)(c) \(\left(1+\frac{log⁡(\frac{a}{r2})}{log⁡(\frac{a}{r1})}\right)^2\)(d) \(73\left(1+\frac{log⁡(\frac{a}{r2})}{log⁡(\frac{a}{r1})}\right)^2\)I had been asked this question in homework.The above asked question is from Folded Dipole Antenna topic in chapter Folded Dipole & Yagi – Uda Antenna of Antennas

Answer»

Correct ANSWER is (b) \(73\left(1+\frac{log⁡(\frac{a}{r1})}{log⁡(\frac{a}{r2})}\right)^2\)

To elaborate: If the radii of two CONDUCTORS are r1 (FEED arm), r2 (non feed arm) and separated by a DISTANCE, then the impedance transformation for folded dipole is given by

\(Z = Z’\left(1+\frac{log⁡(\frac{a}{r1})}{log⁡(\frac{a}{r2})}\right)^2\)

For a half dipole Z’=73Ω

∴ \(Z = 73\left(1+\frac{log⁡(\frac{a}{r1})}{log⁡(\frac{a}{r2})}\right)^2\)



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