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High Voltage Output

Original poster: "Chris Fanjoy" <zappyman-at-hotmail-dot-com> 

   As someone relatively new to this hobby (still building my first TC) I 
haven't fully grasped all the principles involved. One thing that has me 
puzzled is this: what determines the high voltage output of a Tesla coil? 
If not the step-up ratio of the coil itself, then how about:
-Firing rate of spark gap
-Size of tank capacitor
-Operating frequency of coil
-All of the above?
   Just curious, as this may be something to consider as I design my own TC.