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# Characteristics of a Filter

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A filter has the following characteristics: Attenuation = 3.0 dB from 0 Hz to 2 kHz.
From 2 kHz to 20 kHz attenuation increases from 3 dB to 23 dB in a straight line when plotted on axes of power in decibels (vertical axis) against log frequency ( horizontal axis).

a. Is this a low pass, high pass, band pass or band stop filter?

b. What is the attenuation per decade between 2 kHz and 20 kHz?

c. What is the attenuation at 4 kHz?

d. Is this an ideal filter or does it behave like a real filter?

https://brainmass.com/engineering/electrical-engineering/characteristics-filter-362795

#### Solution Preview

a. This is a low pass filter because the attenuation is at its minimum at DC and lower frequency (i.e. 0 Hz to 2kHz).

b. The attenuation per decade is 20dB/decade. From 2 kHz to 20 kHz is one decade, or a factor of 10, in frequency. The difference in attenuation between the 2 kHz and 20 kHz is ...

#### Solution Summary

The low pass, high pass, band pass and band stop filter is computed. The attenuation per decade between 2 kHz and 2 kHz is determined. The solution details whether this is an ideal filter or real filter.

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## Filter characteristics

A filter has the following characteristics:

Attenuation is 0 dB from 0 Hz to 2.5 kHz. Phase angle decreases linearly with increasing frequency above 2.5 kHz. Above 5 kHz the filter has steadily increasing attenuation.

At 10 kHz attenuation is 6 dB and at 20 kHz attenuation is 24 dB.

a. Is this a low pass, high pass, band pass or band stop filter?
b. What is the attenuation per octave between 10 kHz and 20 kHz?
c. If the filter is known to be a Butterworth filter, what is the value of its order, N?

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