Chapter 15: Problem 5
Design an op amp-based low pass filter with a cut off frequency of \(500 \mathrm{Hz}\) and a passband gain of 1 using a \(50 \mathrm{nF}\) capacitor. a) Draw your circuit, labeling the component values and output voltage. b) If the value of the feedback resistor in the filler is changed but the value of the resistor in the forward path is unchanged, what characteristic of the filter is changed?
Short Answer
Step by step solution
Identify the type of filter
Calculate the required resistor value
Design the op-amp circuit
Explore the effect of changing feedback resistor
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
RC Filter Design
- The resistor is connected in series with the input signal.
- The capacitor is connected in parallel with the output, creating a path for high-frequency components to bypass the output.
Cut-off Frequency Calculation
- Resistance (\( R \)) = 636.62 ohms
- Capacitance (\( C \)) = 50 nF
Op-Amp Feedback Resistor
- Higher with a larger feedback resistor, indicating more signal amplification.
- Lower with a smaller feedback resistor, leading to signal attenuation.
Passband Gain
- Alterations to the feedback resistor directly impact this gain, either amplifying or attenuating the signal.
- A consistent gain across the passband is crucial for signal accuracy and integrity, maintaining the signal as intended while filtering unnecessary noise.