The gap between the plates of a parallel-plate capacitor is filled with three equal-thickness layers of mica, paper, and a material of unknown dielectric constant. The area of each plate is 110 cm2 and the capacitor’s gap width is 3.75 mm. The values of the known dielectric constants are Kmica = 4.5 and Kpaper = 3.25. The capacitance is measured and found to be 95 pF. Find the value of the dielectric constant of the unknown material.

University Physics Volume 2
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ISBN:9781938168161
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Chapter8: Capacitance
Section: Chapter Questions
Problem 51P: An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each...
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The gap between the plates of a parallel-plate capacitor is filled with three equal-thickness layers of mica, paper, and a material of unknown dielectric constant. The area of each plate is 110 cm2 and the capacitor’s gap width is 3.75 mm. The values of the known dielectric constants are Kmica = 4.5 and Kpaper = 3.25. The capacitance is measured and found to be 95 pF.

Find the value of the dielectric constant of the unknown material.

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