Design of Band Reject Filter

In summary, the conversation discusses two graphs that show the frequency response of a band reject filter. The first graph is incorrect because it does not show a band reject filter. The second graph is correct because it has a band reject behavior, passing all frequencies except those in the specified band.
  • #1
smart_worker
131
1

Homework Statement


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Homework Equations


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The Attempt at a Solution


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Which is the correct frequency response graph for this question? The first graph or the second one?
 
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  • #2
Band reject implies that it passes everything, except frequencies in the band. Looking at just the positive side: If it is less than pi/3 then it is 1. If it is greater than 2pi/3 then it is also 1. Elsewhere is zero. Well elsewhere is inbetween pi/3 and 2pi/3 (the band to be rejected). Since there is absolute value, you will have a mirror image of the band response across the axis.

Which of the graphs fit this description?
 
  • #3
The second graph fits the description.
 
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1. What is a band reject filter?

A band reject filter, also known as a notch filter, is an electronic filter that attenuates a specific frequency range while allowing all other frequencies to pass through.

2. How does a band reject filter work?

A band reject filter works by using a combination of capacitors, inductors, and resistors to create a circuit that selectively filters out a specific frequency range.

3. What are the applications of band reject filters?

Band reject filters are commonly used in audio systems to eliminate unwanted frequencies, in radio transmission to eliminate interference, and in biomedical devices to remove noise signals.

4. What are the advantages of using a band reject filter?

Band reject filters are advantageous because they can effectively filter out a specific frequency range without affecting the rest of the signal, unlike other filters that can cause distortion. They are also relatively easy to design and can be implemented in various electronic systems.

5. How do I design a band reject filter?

Designing a band reject filter involves determining the desired frequency range to be attenuated, choosing the appropriate components, and calculating the values of the components based on the desired cutoff frequency. There are also online tools and software available to assist in the design process.

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