Antenna theory states that one full, half wavelength, no more, no less, is the optimum length for an Antenna to receive Radio Waves.

Antenna's are tunned for a specific Frequency, the calculation is as follows: l = 1/2 * c/f * v/c

Where:

**l**is the Length of the Antenna.**c**is the speed of light in free space**f**is the frequency**v**is the speed of the electric wave in the wire

Sometimes you may see this simply written as 1/λ is the free-space wavelength. @50Hz 1/λ = 6,000,000 meters. Wavelength is equal to λ = v/f

Where:

**f**is the frequency**v**is the speed of the electric wave in the wire

For 1/4 wavelength antennas, a Ground must be used:

The Ground, completes the other half of the wavelength, effectively making up the other 1/4 wavelength like so:

**Note:** We have evidence, to point to more than just Wave Theory applying.to these Coils and Circuits. Some say EM Wave Theory is incomplete. We have evidence to suggest that v is the Wave itself, and not the speed at which the Wave travels in the particular medium. So, if Speed of the Wave = Wavelength x Frequency, then Speed of the Wave = 50, and the wavelength is λ =50/50 = 1. which is the length of the Wire the wavelength is applied across. This means in our situation, 1/4 wavelength is 1/4 of λ.

I posted some picture some time back:

More Soon!

Chris