The key external component of the astable timer is the capacitor. An astable
multivibrator can be designed as shown in the circuit diagram (with typical component
values) using IC 555, for a duty cycle of more than 50%. The corresponding voltage
across the capacitor and voltage at output is also shown. The astable function is achieved
by charging/discharging a capacitor through resistors connected, respectively, either to
VCC or GND. Switching between the charging and discharging modes is handled by
resistor divider R1-R3, two Comparators, and an RS Flip-Flop in IC 555. The upper or
lower comparator simply generates a positive pulse if VC goes above 2/3 VCC or below
1/3 VCC. And these positive pulses either SET or RESET the Q output.
The time for charging C from 1/3 to 2/3 Vcc, i.e, ON Time = 0.693 (RA + RB). C
The time for discharging C from 2/3 to 1/3 Vcc, i.e. OFF Time = 0.693 RB. C
To get the total oscillation period, just add the two:
Thus,
Tosc = 0.693∙(RA+RB)∙C + 0.693∙(RB)∙C = 0.693 ∙ (RA + 2∙RB) ∙ C
fosc = 1/ Tosc = 1.44/(RA + 2∙RB).C
Duty cycle = RA+RB/ RA + 2∙RB
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