Question

What will be the length of a half wavelength dipole antenna operating at 10GHz?

Answer 1

Given :

Frequency , $\nu = 10\ GHz$ .

To Find :

The length of a half wavelength dipole .

Solution :

Now , wavelength is given by :

$\lambda=\dfrac{c}{\nu}\\\\\lambda=\dfrac{3\times 10^8\ m/s}{10\ GHz}\\\\\lambda=\dfrac{3\times 10^8}{10\times 10^9}\ m\\\\\lambda=0.03\ m\\\\\lambda=3 \ cm$

Now , half length is given by :

$L=\dfrac{\lambda}{2}\\\\L=\dfrac{3}{2}\ cm\\\\L=1.5 \ cm$

Therefore , length of a half wavelength dipole is 1.5 cm .

Hence , this is the required solution .