


[ I * (N^{2}+N/2)] 



V_{rip }= 






8*f*c 



N = number of stages



f = AC input frequency (Hz)



c = capacitance per stage (farads)



I= DC output current (amps)

















Calculate Ripple Voltage Example
Calculate the ripple voltage of a 6 stage multiplier with 1000pF capacitors, 50kHz operating frequency (sine wave), 1mA DC output current, 20kV DC output voltage as follows:




V_{rip }= 

[ 1*10^{3 }(6^{2}+6/2)) ]




where N = 6, f = 50kHz, c = 1000pf, I = 1mA.







8 (50,000) (1*10^{9})




V_{rip }= 

97.5V_{ } 














An equivalent parallel multiplier would require each capacitor stage to equal the total series capacitance of the AC capacitor bank.
In the above case, the 3 capacitors in the DC bank would equal 1000pF/3 or 333pF. The parallel equivalent would require 333pF capacitors in each stage. However, each successive stage
would require a higher voltage capacitor. 
