The time for which capacitor charges from 1/3VCC to 2/3VCC is equal to the time the output is high which is given by tc= 0.69(R1+R2) C The discharging time from 2/3Vcc to 1/3VCC is given as td= 0.69 R2C The total period of output waveform is given by T = tc+ td = 0.69(R1+2R2) C The frequency of oscillations is given by f0 = = The duty cycle is defined as the ratio of the charging time of capacitor at which the output is high to the total time period. %duty cycle = x 100 |
t1 – capacitor charge “ON” time is calculated as: t1 = 0.693(R1 + R2). C = 0.693(1000 +2000) x 10 x 10 -6 = 0.021 s= 0.21 msec t2 – capacitor discharge “OFF” time is calculated as: t2 = 0.693 R2. C = 0.693 X 2000 x 10 x 10 -6 = 14ms Total periodic time (T) is therefore calculated as: T = t1 + t2 = 21 ms + 14 ms = 35 ms. The output frequency, ƒ is therefore given as: f = 1/T = 1/35ms = 28.6 Hz Giving a duty cycle value of: Duty Cycle = R1 + R2 / (R1 + 2 R2) = 1000 + 2000/ (1000 + 2 x 2000) = 60%
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Va = 0
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Vout = 0V
Va = 166V Vout = 5V
Va = 333V |