Most antenna consisting of a 50 meter long vertical conductor operates over a perfectly conducting ground plane. It is base fed at a frequency of 600 kHz. The radiation resistance of the antenna in ohms is
Answer
Radiation resistance is given by
Rrad=40π2(dlλ)andλ=cfRrad=40π2((dl)(f)c)Rrad=40π2((50)(600×103)3×108)=2π25ΩR_{rad}=40 \pi^2 ( \frac{dl}{ \lambda})\\and\\ \\\lambda=\frac{c}{f}\\R_{rad}=40 \pi^2 ( \frac{(dl)(f)}{ c})\\ R_{rad}=40 \pi^2 ( \frac{(50)(600\times10^3)}{ 3\times10^8}) =\frac{2\pi^2}{5} \OmegaRrad=40π2(λdl)andλ=fcRrad=40π2(c(dl)(f))Rrad=40π2(3×108(50)(600×103))=52π2Ω
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