Capacitive Transformer Calculator

f       Frecuency............................  kHz  
L       Inductance...........................  uH   
Qu      Inductance's Quality.................      
Rin     Input resistance.....................  ohm
Rout    Output resistance....................  ohm


XL      Inductive reactance.................. 312.54 ohm 
C       Resonance capacity................... 72.438 pF   
rs      coil losses equivalent serial res.... 6.9764131973214 ohm 
rp      parallel equivalent out resistance... 14001.9 ohm 
BW      bandwidth if QL=Qu/2................. 313.84 (6873.08 .. 7186.92) kHz
1:N     transformer ratio.................... 8 (18 dB)
C1      upper capacitor...................... 505.458 pF    
C2      lower capacitor...................... 82.819 pF    
XC1     capacitive reactance C1.............. 44.79 ohm 
XC2     capacitive reactance C2.............. 273.37 ohm 

check if 1<<32.68
check if 312.54=318.16 (XL more or less equal than XC1+XC2)


 help exit
Eduardo Alonso, EA3GHS
23/agosto/2008

                                                                                                           
                                                                                                                  
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* SPICE                    *                                                                                      
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Vs   s   0  SINE(0 2 7030000) AC 1                                                                                     
Rin  in  s  220                                                                                                  
C1   in  0  5.05458E-10                                                                                                   
C2   out in 8.2819E-11                                                                                                   
L1   out m  7.076E-06                                                                                                    
rs   m   0  6.9764131973214                                                                                                   
Rout out 0                                                                                                   
.ac oct 1000 10E3 1e9                                                                                             
                                                                                                                  


//computations                                                                                                                                                                     
$w=2*3.1415*$f*1000;                                                                                                                                                               
$XL=$w*$L*1E-6;                                                                                                                                                                    
$C=1/($w*$w*($L*1E-6));                                                                                                                                                            
$C_pF=$C*1E12;
$rp=$Qu*$XL;
$rs=$XL/$Qu;                                                                                                                                                                       
$QL=$Qu/2;
$BW=$f*1000/$QL;                                                                                                                                                                   
$f1=$f*1000-$BW/2;                                                                                                                                                                 
$f2=$f*1000+$BW/2;
$rp=1/((1/$rp)+(1/$Rout));                                                                                                                                                         
$n=sqrt($rp/$Rin)-1;                                                                                                                                                               
$NN=sqrt($rp/$Rin);                                                                                                                                                                
$A_dB=20*log10($NN);  
$C2=$C*(1+1/($n));   
$C1=($n)*$C;                                                                                                                                                                       
$XC1=1/($w*$C1);                                                                                                                                                                   
$XC2=1/($w*$C2);                                                                                                                                                                   
$XC1XC2=$XC1+$XC2;
$condicion_mayor_q_uno=pow($w*$Rin*($C1+$C2),2);