The amplitude of the 50 kHz component by a factor of 200 is 250 kHz., the component at 2 kHz is changed in magnitude by a factor of 0.5 in passing through this filter.
What is amplitude?
Amplitude is a measure of the strength of a wave or signal. It is defined as the maximum absolute value of a wave's displacement from its equilibrium position. It is most commonly used to describe the strength of an audio or sound wave, but it can also be used to describe other wave forms such as light waves and seismic waves. Amplitude is also used to measure the strength of a signal in an electrical circuit. The unit of measurement for amplitude is the decibel (dB). The higher the amplitude, the louder the sound or signal. Amplitude is also sometimes referred to as intensity or volume.
a) The half power frequency of a first order low pass filter is the frequency at which the amplitude response of the filter is equal to ½ of the amplitude response of 0 Hz. The required half power frequency of the filter to reduce the amplitude of the 50 kHz component by a factor of 200 is 250 kHz.
b) The amplitude response of the filter at 2 kHz is equal to ½^(2/6) of the amplitude response at 0 Hz, or a factor of about 0.5. Therefore, the component at 2 kHz is changed in magnitude by a factor of 0.5 in passing through this filter.
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