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The low pass filter only allows low frequency signals from 0Hz to its cut-off frequency, ƒc point to pass while blocking those any higher.




To create a low pass filter with a frequency cutoff of 1000 Hz, we can use the following formula to determine our capacitor value based on the chosen resistance.

R=47

fc=1000


fc = 1/(2πRC)

fc = 1000 Hz

R=470

C=1/(2πRFc) = 1/(2π*1000*47047) =  0 3.39 3 μF


http://www.learningaboutelectronics.com/Articles/Low-pass-filter-calculator.php#answer1

R=1K

C=1/(2πRFc) = 1/(2π*1000*1000) = 0.159 μF

C=0.22 μF

R=1K

Fc=1/(2πRC) = 1/(2π*0.00000022*1000) = 723Hz

R=1/(2πFcC) = 1/(2π*1000*0.00000022 = 723 ohms

R=10k

C=1/(2πRFc) = 1/(2π*10000*1000) = 15.9 nF

R=47K

C=1/(2πRFc) = 1/(2π*1000*47000) =  3.39 nF