Given :
Frequency , [tex]\nu = 10\ GHz[/tex] .
To Find :
The length of a half wavelength dipole .
Solution :
Now , wavelength is given by :
[tex]\lambda=\dfrac{c}{\nu}\\\\\lambda=\dfrac{3\times 10^8\ m/s}{10\ GHz}\\\\\lambda=\dfrac{3\times 10^8}{10\times 10^9}\ m\\\\\lambda=0.03\ m\\\\\lambda=3 \ cm[/tex]
Now , half length is given by :
[tex]L=\dfrac{\lambda}{2}\\\\L=\dfrac{3}{2}\ cm\\\\L=1.5 \ cm[/tex]
Therefore , length of a half wavelength dipole is 1.5 cm .
Hence , this is the required solution .
