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Transformer Equations

 

 

 

 

         

 

Table 1.  Transformer Equations

Description Equation Remarks

Turns Ratio

TR = Ns / Np

  

where TR = turns ratio;

Ns = # of turns in secondary winding;

Np = # of turns in primary winding

  

Voltage / Current Ratios

Ns / Np = Vs / Vp = Ip / Is

Vs = TR x Vp

Is = Ip / TR

  

where Vs = voltage in secondary winding;

Vp = voltage in primary winding;

Is =current in secondary winding;

Ip = current in primary winding;

Ns = # of turns in secondary winding;

Np = # of turns in primary winding

  

Impedance Ratio

TR = sqrt (Zs / Zp)

  

where TR = turns ratio;

Zp = impedance reflected into the primary side with a secondary load of Zs