RLC bandpass design： The target is to filter out the square-wave noise from the 120kHz sinsousidal signal using the RLC banpass filter (series LCR configuration). 1- Derive the transfer function for the following second order LCR filter. 2- Derive an expression for the resonant frequency and the quality factor of the filter. 3- The objective is to filter out the square-wave noise from the sinousidal 120kHz signal. The two closest frequency components of the square wave must be attenuated at least by a factor of √2. We suggest you to use either a 10 mH inductor. Calculate the required Q and the repsective R and C to achieve the filter requirement.

 RLC bandpass design：

The target is to filter out the square-wave noise from the 120kHz sinsousidal signal using the RLC banpass filter (series LCR configuration).

1- Derive the transfer function for the following second order LCR filter.

2- Derive an expression for the resonant frequency and the quality factor of the filter.

3- The objective is to filter out the square-wave noise from the sinousidal 120kHz signal. The two closest frequency components of the square wave must be attenuated at least by a factor of √2. We suggest you to use either a 10 mH inductor. Calculate the required Q and the repsective R and C to achieve the filter requirement.