1. Suppose a supermarket door-opening sensor is made from a large sheet of PVDF (d33 = 30 pC/N) piezoelectric film (thickness 28 microns, area 1 meter x 1 meter). a) How much voltage is measured when a 75 kg person stands on the mat? b) Does it make any difference how big this person’s feet are? c) Suppose a 30 kg child jumps up and down on the mat at a steady frequency near 1 Hz for more than a minute. Make reasonable assumptions about this situation and quantitatively describe the voltage that appears as a function of time on the electrodes. Draw a graph of the voltage you’d expect to see.
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