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(17%) Problem 6: 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 cm$^2$ and the capacitor's gap width is 3.25 mm. The values of the known dielectric constants are $K_{mica} = 5.5$ and $K_{paper} = 3.75$. The capacitance is measured and found to be 95 pF. Find the value of the dielectric constant of the unknown material. $K_{unknown} = $

          (17%) Problem 6: 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 cm$^2$ and the capacitor's gap width is 3.25 mm. The values of the known dielectric constants are $K_{mica} = 5.5$ and $K_{paper} = 3.75$. The capacitance is measured and found to be 95 pF.
Find the value of the dielectric constant of the unknown material.
$K_{unknown} = $

$(17%) Problem 6: The gap between the plates of a parallel-plate capacitor is filled with three equal-thickness layers of mica, paper, and a material of unknown dielectric constant. The area of each plate is 110 cm$^2$ and the capacitor's gap width is 3.25 mm. The values of the known dielectric constants are $K{mica} = 5.5$ and $K{paper} = 3.75$. The capacitance is measured and found to be 95 pF. Find the value of the dielectric constant of the unknown material. Kunknown =$

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