Design a first-order, low-pass filter (RC circuit shown) to meet the performance

Question

Design a first-order, low-pass filter (RC circuit shown) to meet the performance specifications for the situation described below. An input signal comes from a temperature sensor with an output impedance of 100 ohms. It is designed to measure fluctuating temperatures of frequency content up to about 1 Hz. The sensor is located in a region of a factory that unavoidably has ac power lines and motors, and lab tests show that the desired temperature signal (about 0.200 volts) is contaminated with 60-Hz noise of about 0.10 volt amplitude. Design a RC low-pass filter (identify the R and C values) connected between the sensor and the input to the data-acquisition system, to reduce the noise to about 0.005 volts without disturbing the desired signals too much, i.e., 5% dynamic error. Consider loading effects in your design.

Explanation / Answer

A) f = 1/2*pi*R*C = 0.159/RC 1 = 0.159/(R+100)*C 10 to 0.005 means 20log(10/0.005)= 66 db decay should be there from 1 to 60 Hz . i am very sorry , i wasnt able to help more. if it helped than please rate me.

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