CIRCUIT
DESIGN
SUPPOSE THAT TOTAL RESISTANCE IS 56K AT A POT POSITON
THE TIME CONSTANT RC = 56K * .3uF = 16.8 ms
figure -1 -charging diagram of capacitor
From figure -1 time constant is the time required to reach 63.2% total voltage
HOW TO FIND FIRING ANGLE
Our input A.C. voltage is 230AC RMS
Then the peak voltage = √2 × Vrms = 325V
then the the voltage at time constant = 63% of peak voltage =63% * 325 =204
for diac used is DB3 which has break down voltage of 30V from its datasheet
Vs=Vin(1-e-T/RC)
Vs=Vin(1-e-T/16.8ms)
30=325(1-e-T/16.8ms)
30=325(1-e-T/16.8ms)
0.0923076923076923 =(1-e-T/16.8ms)
e-T/16.8ms =1-0.0923076923076923
e-T/16.8ms = 0.9076923076923077
eT/16.8ms =1/0.9076923076923077
eT/16.8ms =1.10
solving
T/16.8ms =.1
T=.1 * 16.8ms
T=1.68ms
firing angle=( 1.68/10) *180
firing angle =30