Understanding how to read output voltage of a current transformer sensor
The resistor divider is used for making a reference voltage. When no voltage difference is present between A and B, you get half of Vcc on the analog pin - say 1.65V. When the voltage difference A-B is positive you get more than 1.65V on analog pin, meanwhile when voltage A-B is negative you get less than 1.65V.

Between A and B you have to connect a burden resistor, then a CT.


  What is the purpose of the Equal value resistor voltage divider and
  the capacitor? How would i compute the resistor and capacitor value?


Leave it the same. If it works for others, it will work for you, also.


  what would be the reading if probes are directly connected to JACK A
  and B


Don't quite understand this question.