3. (10 pt) The input to a subwoofer loudspeaker is to pass through a passive low-pass Butterworth filter having a cutoff frequency of 100 Hz. Specify (Design) a filter that

meets the following specifications: At 50 Hz, the signal magnitude ratio should be at least at 0.95; at 200 Hz, the magnitude ratio should be no more than 0.08. The sensor and load resistances are 10 Q. Determine the minimum filter stage that satisfies the above specifications and the values for the components. Draw the corresponding electric circuit using capacitor, inductor, and resistance.