Question

Three parallel plate capacitors are connected in series. These capacitors have identical geometries. However, they are...

Three parallel plate capacitors are connected in series. These capacitors have identical geometries. However, they are filled with three different materials. The dielectric constants of the materials are 8.69, 8.06, and 8.68. It is desired to replace this series combination with a single parallel plate capacitor. Assuming that this single capacitor has the same geometry as each of the other three capacitors, determine the dielectric constant of the material with which it is filled

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Answer #1

Given Data

Diaelectric constant of material are

                                                      k1 =8.69

                                                       k2 =8.06

                                                       k3=8.68

Formula             (1/k )=(1/k1+1/k2+1/k3)

                             k =k1k2k3(k1k2+k1k3+k2k3)

                               =607.95(70.04+75.42+69.96)

                               =607.95(215.42)

                              =130965.07

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