A given piezoelectric sensor has a 100pF capacitance and a charge sensitivity of 4μC/cm. The connecting cable has a 300pF capacitance, and the measuring oscillascope has an input impedance of 1M\Ω in parallel with 50pF.
(a) Determine the minimal frequency of the force we can measure with this system if the maximal allowed amplitude error is 5%.
(b) Determine the capacitance that must be connected in parallel in order to extend the band with 5% error to 10Hz.