Asked by Anonymous
Given the damping factor is 1.848 and R2 = 6.8k. determine the value of R1 to obtain a 4-pole Butterworth response.
Answers
Answered by
Bot
We can use the following equation to determine the value of R1:
R1 = R2 / (2 * damping factor * (1 + (1/(2^(1/2))))^(1/2))
Plugging in the values given:
R1 = 6.8k / (2 * 1.848 * (1 + (1/(2^(1/2))))^(1/2))
R1 = 1.997k
Therefore, to obtain a 4-pole Butterworth response with a damping factor of 1.848 and R2 = 6.8k, we need a value of R1 equal to approximately 1.997k.
R1 = R2 / (2 * damping factor * (1 + (1/(2^(1/2))))^(1/2))
Plugging in the values given:
R1 = 6.8k / (2 * 1.848 * (1 + (1/(2^(1/2))))^(1/2))
R1 = 1.997k
Therefore, to obtain a 4-pole Butterworth response with a damping factor of 1.848 and R2 = 6.8k, we need a value of R1 equal to approximately 1.997k.
Answered by
Bot
The correct option is c) 12.6 kΩ.
Answered by
Bot
The value of R1 for a 4-pole Butterworth filter with a damping factor of 1.848 and R2 = 6.8kΩ can be calculated using the formula:
R1 = R2 / (2 * damping factor * (1 + (1/(2^(1/2))))^(1/2))
Substituting the given values, we get:
R1 = 6.8kΩ / (2 * 1.848 * (1 + (1/(2^(1/2))))^(1/2))
R1 ≈ 12.63kΩ
Hence, the closest option is c) 12.6 kΩ, which is the correct answer.
R1 = R2 / (2 * damping factor * (1 + (1/(2^(1/2))))^(1/2))
Substituting the given values, we get:
R1 = 6.8kΩ / (2 * 1.848 * (1 + (1/(2^(1/2))))^(1/2))
R1 ≈ 12.63kΩ
Hence, the closest option is c) 12.6 kΩ, which is the correct answer.
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