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A signal is to be transmitted through a wave of wavelength $$\lambda$$, using a linear antenna. The length $$l$$ of the antenna and effective power radiated $$P_{\text{eff}}$$ will be given, respectively, as- ($$K$$ is a constant of proportionality)
For a linear antenna, maximum radiation occurs when its length is comparable to the wavelength:
$$l\sim\lambda$$
The radiated power depends on how effectively the antenna couples with the wave, and for a linear antenna:
$$P_{eff\ }∝\ \left(\frac{l}{\lambda}\right)^2$$
$$l=\lambda$$ & $$P_{eff\ }=K\left(\frac{l}{\lambda}\right)^2$$
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