1. Frequency of Oscillation (f):
The formula for frequency is:
f = 1.44 / (R1 + 2R2) * C1
Substitute the given values:
f = 1.44 / (20,000 + 2 * 20,000) * 0.01 * 10^(-6)
Simplifying:
f = 1.44 / (60,000 * 0.01 * 10^(-6))
f = 1.44 / 0.0006
f = 2400 Hz
So, the frequency is 2400 Hz (or 2.4 kHz).
2. High Time (T_high):
The formula for high time is:
T_high = 0.693 * (R1 + R2) * C1
Substitute the values:
T_high = 0.693 * (20,000 + 20,000) * 0.01 * 10^(-6)
T_high = 0.693 * 40,000 * 0.01 * 10^(-6)
T_high = 0.693 * 0.0004
T_high = 0.0002772 seconds = 277.2 μs
So, the high time is 277.2 μs.
3. Low Time (T_low):
The formula for low time is:
T_low = 0.693 * R2 * C1
Substitute the values:
T_low = 0.693 * 20,000 * 0.01 * 10^(-6)
T_low = 0.693 * 0.0002
T_low = 0.0001386 seconds = 138.6 μs
So, the low time is 138.6 μs.
4. Duty Cycle (D):
The duty cycle formula is:
D = (T_high / (T_high + T_low)) * 100
Substitute the values:
D = (277.2 μs / (277.2 μs + 138.6 μs)) * 100
D = (277.2 / 415.8) * 100
D = 66.67%
So, the duty cycle is 66.67%.
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