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Antenna Formulas

 

 

 

 

         

 

Below are some commonly used formulas for designing an antenna.

   

   

1)  Length of Ideal Hertz Antenna

    

L =  λ / 2

where L = length of the Hertz Antenna

λ = wavelength

   

   

2)  Length of Ideal Marconi Antenna

    

L =  λ / 4

where L = length of the Marconi Antenna

λ = wavelength

   

   

3)  Power Received by a Hertz Antenna

    

P =  (PtGtGrλ2) / (16π2d2)

where  P =  received power (W)

Pt = transmitted power (W)

Gt = gain ratio of transmitting antenna relative to an isotropic radiator

Gr = gain ratio of receiving antenna relative to an isotropic radiator

λ = wavelength (m)

d = distance between antennas (m)

    

   

4)  Effective Radiated Power

    

ERP =  G x Pi

where G = gain of transmitting antenna relative to an isotropic radiator

Pi = input power (W)

    

    

See Also:  Math Used in ECE