See attached.Image text transcribed for accessibility: A capacitor is inserted in a liquid in the following arrangement. The liquid is non-conducting and has an electric permittivity, epsilon, of 50 epsilon0. Write an expression for the capacitance. Remember that C = epsilonA / d. Solve your answer in part (a) for the liquid level. We are going to use the above circuit to drive the capacitor. The driving frequency is 1kHz. Approximately how fast a change in the liquid level, can we measure? Should C1 or C2 be the sensor? To filter out unwanted high frequencies, we are going to use an RLC circuit (2nd order low-pass filter). The critical damping ratio is 1.0. Choose a suitable resonant frequency for the circuit. How much is the unwanted high frequency filtered out? What error does the low-pass filter introduce at 100Hz? You connect the output of the circuit to a Data Acquisition Card. At what rate should you sample the voltage signal?