Part 1: Calculation From the knowledge of Project deliverable 1 and according to circuit in figure 1, write down the mathematical equation for your design to obtain frequency f = 1075 Hz and Duty cycle duty cycle = 75% of the generated wave. Vcc (-5 to + 15V) R1 Discharge R2 555 Astable Astable Output Trigger Threshold C1 -C2 Vc 0.01uF ov Figure 1 a) If R1 = 6.8kN , R2 = 3.3kl and frequency f = 1075 Hz use the following equation to calculate the capacitance C1? %3D 1 1
Part 1: Calculation From the knowledge of Project deliverable 1 and according to circuit in figure 1, write down the mathematical equation for your design to obtain frequency f = 1075 Hz and Duty cycle duty cycle = 75% of the generated wave. Vcc (-5 to + 15V) R1 Discharge R2 555 Astable Astable Output Trigger Threshold C1 -C2 Vc 0.01uF ov Figure 1 a) If R1 = 6.8kN , R2 = 3.3kl and frequency f = 1075 Hz use the following equation to calculate the capacitance C1? %3D 1 1
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![Part 1: Calculation
From the knowledge of Project deliverable 1 and according to circuit in figure 1, write down the
mathematical equation for your design to obtain frequency f = 1075 Hz and Duty cycle duty cycle =
75% of the generated wave.
Vcc (+5 to +15V)
SR1
1-
Discharge
R2
555
Astable
Output
Astable
2
Trigger
Vc
Threshold
- C1
-C2
Vc
0.01uF
ov
Figure 1
a) If R, = 6.8ka, R2 = 3.3kn and frequency f = 1075 Hz use the following equation to
calculate the capacitance C1 ?
1
1
f =
T 0.693(R, + 2R2)C1
Write your answer in details
Page 2 of 5
b) Now, use the following equation to calculate time period T?
T = 0.693(R, + 2R2)C1
Write your answer in details
c) Now, use the following equation to calculate time t#?
tH = 0.693(R1 + R2)C1
Write your answer in details
d) Now, use the following equation to calculate time t?
tL = 0.693(R2)C1
Write your answer in details
e) use the above values to calculate the duty cycle?
tH
duty cycle =
* 100%
tH + t,
Write your answer in details](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad013237-9c89-4d72-a97a-a9156672c750%2F3a471a75-3d71-4883-8e81-0c8c9f373aaf%2Fllwuf5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part 1: Calculation
From the knowledge of Project deliverable 1 and according to circuit in figure 1, write down the
mathematical equation for your design to obtain frequency f = 1075 Hz and Duty cycle duty cycle =
75% of the generated wave.
Vcc (+5 to +15V)
SR1
1-
Discharge
R2
555
Astable
Output
Astable
2
Trigger
Vc
Threshold
- C1
-C2
Vc
0.01uF
ov
Figure 1
a) If R, = 6.8ka, R2 = 3.3kn and frequency f = 1075 Hz use the following equation to
calculate the capacitance C1 ?
1
1
f =
T 0.693(R, + 2R2)C1
Write your answer in details
Page 2 of 5
b) Now, use the following equation to calculate time period T?
T = 0.693(R, + 2R2)C1
Write your answer in details
c) Now, use the following equation to calculate time t#?
tH = 0.693(R1 + R2)C1
Write your answer in details
d) Now, use the following equation to calculate time t?
tL = 0.693(R2)C1
Write your answer in details
e) use the above values to calculate the duty cycle?
tH
duty cycle =
* 100%
tH + t,
Write your answer in details
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