Full wave rectifier with RC Load

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Hi, I am trying to model a full wave single phase thyristor controlled rectifier feeding a resistor and capacitor in parallel (like a power supply I believe where the capacitor is used for smoothing?) and I would like to calculate the average output dc voltage in a similar fashion as for a resistive or RL load but I cannot seem to find a book with the equation or even the integral to be solved. Is this possible as I am struggling to find examples of it already being done?
 
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oops i answered the wrong question deleted.

Resistor and capacitor in parallel?

Think about it ,

The capacitor will charge immediately to the supply voltage at instant thyristor fires... you'll need di/dt protect the thyristor and maybe the capacitor too..
 
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