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Piezoelectric example problem

  1. Jul 8, 2009 #1
    Hey I am looking for an example problems that have piezoelectrics generating electricity.

    I would like to have and use a simple problem in which a piezoelectric is squeezed to generate electricity. Does anyone know where I can find such problems and solutions?
     
  2. jcsd
  3. Jul 9, 2009 #2
    I was thinking something a long the lines of;

    You have a 1000 N force striking a block of PZT that has a 20 cm by 20 cm area and that has a thickness of 3 cm. How much voltage and power is created.

    What you know: Youngs mod, piezoelectric coef, relative permitvity, etc.

    Step 1) Calculate change in thickness using
    Delta t = (Force * thickness)/(youngs mod *area)

    Step 2) with delta t you can figure out strain using
    Strain = delta t/t

    step 3) With Strain figure out stress, recall we know youngs mod;
    Stress = younds mod/ strain

    Step 4) D= d*T; piezoelectric coefficent * stress = Columbs/m^2

    Step 5) Get charge q: columbs/ m^2 * area (m^2) = charge columbs

    Step 6) Capactience; (Relative permit * permit of space)*( Area/ thickness)

    now finally Step 7) Voltage: V= Q/C so you take the charge calculate in step 5 and divide it by the materials capacitence calculate in step 6.

    Let me know what you guys think or if this is the correct approach. Also how would I calculate the internal resistance of the material so that I can take the voltage use that resistance to caculate current and power.

    Any insight or corrections would be great
     
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