To keep it simple we are going to assume the lower AC input is at ground potential. It doesn't have to be, but it'll make it easier to explain.
1. How a zener diode is being turned-on? it mentioned there that is due to the C2 but i cant really understand it.
At the start of the positive half of the AC cycle, C1 charges through RF, D, C2 and RL. It will take a few cycles, but once the voltage on C2 = Vzener - 0.7V then Z will take some of the current and the voltage on C2 will stabilize at Vzener - 0.7V
On the negative half of the cycle, C1 will
discharge through RF & Z. Z will only have a voltage drop of 0.7 across it on the negative cycle.
3. C1 is being charged to a high voltage state, the high voltage here meant te voltage that is nearly equal to input voltage?
By nearly, on the positive cycle, we mean minus Vzener and the voltage drop across RF. Negative cycle, we mean minus 0.7V (forward bias on zener) and the voltage drop across RF.
For the circuit, isnt it the charging of C2 is only purposely for turning the zener diode on? How it discharge?
C2 turns the pulsating rectified current from D into a semi-steady DC. It can only discharge through RL because D blocks any current in the reverse direction.
C1 is just a way to use capacitive reactance to limit the current into Z and the load RL. You could use a larger resistor for RF instead, but you would create a lot more heat for a given output on the supply. C1 essentially returns the unused energy to the AC mains instead of wasting it as heat like a resistor would do.
may i know what it meant by "according to the enginnering rule of thumb", it is a formula for calculating the value? what is the formula?
It is probably this: C = 1 / ( 2 pi f XC ) Where XC is the reactance you need to limit the current though RF to the proper level.