A rabbit ears antenna is what is known as a half-wave dipole antenna. The electromagnetic field that propagates the transmitted RF (Radio Frequency) signal induces a standing wave into the antenna. The magnitude of the standing wave (seen as signal strength) is dependent on many factors, one of which is the total length of the antenna relative to the wavelength of the RF signal.

To get the highest received signal strength, the point at which the signal is coupled to the receiver should be at the one-quarter wavelength point; this means the total length of the antenna should be one-half wavelength. For a 183MHz signal, this translates to approximately 32 inches. The actual tip-to-tip distance will usually end up somewhat larger due to the spacing of the "ears" on the antenna mount and not having the "ears" exactly perpendicular relative to the signal source.

To determine signal wavelength from the frequency, use the following formula:

wavelength = c / f

where:

c = the speed of light = 11802852677 inches/sec
f = frequency (in Hz); 1 MHz = 1000000 Hz

example:

183 MHz = 183000000 Hz

wavelength = 11802852677 / 183000000

wavelength = 64.49646 inches

one-half wavelength = 32.24823 inches