ALLIED'S ELECTRONICS DATA HANDBOOK

Most Used Formulas (cont.)

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Coupled Inductance (cont.)
   
Resonance (cont.)
  where      L = the total inductance,
 
                M = the mutual inductance,
 
    L1 and L2 = the self inductance of                                                        the individual coils.
    where      F = the resonant frequency
                        in cycles per second,
                  L = inductance in henrys,
                 C = capacitance in farads,
              = 6.28,
             = 39.5,
Mutual Inductance   Reactance
   The mutual inductance of two r-f coils with fields
 interacting, is given by
                           
 where    M = mutual inductance, expressed
                      in same units as LA and LO,
             LA = Total inductance of coils
                      L1 and L2 with fields aiding,
             LO = Total inductance of coils
                      L1 and L2 with fields opposing,
    of an inductance is expressed by
                           
  of an capacitance is expressed by
                           
  where   XL =  inductive reactance in ohms,
                        (known as positive reactance),
              XC =  capacitive reactance in ohms,
                        (known as negative reactance),
               F  =  frequency in cycles per second,
               L  =  inductance in henrys,
               C  =  capacitance in farads,
             =  6.28,
Coupling Coefficient   Frequency from Wavelength
   When two r-f coils are inductively coupled so as to
 give transformer action, the coupling coefficient is
 expressed by,
                         
  where    K  =  the coupling coefficient;
                        (K x 102 = coupling
                        coefficient in %),
               M  =  the mutual inductance value,
   L1 and L2  =  the self-inductance of the two coils
                        respectively, both being expressed
                        in the same units.
 
                         
  where    =  wavelength in meters.
 
                         
  where    =  wavelength in centimeters.
Resonance   Wavelength from Frequency
    The resonant frequency, or frequency at which
 inductive reactance XL equals capacitive reactance
 XC is expressed by
                     
              also  
              and  
 
                         
  where    F =  frequency in kilocycles.
 
                         
  where    F =  frequency in megacycles.

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