A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 2.00-mm-thick piece of a dielectric called Rutile (κ = 100)in between them.What is the capacitance? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

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Quizplus · Accepted Answer

The capacitance of a parallel-plate capacitor is given by:C = εA/dwhere ε is the permittivity of the dielectric, A is the area of the plates, and d is the distance between the plates.In this problem, we have:ε = 100ε0 = 8.85 × 10−10 F/mA = (2.00 cm)^2 = 4.00 × 10−4 m^2d = 2.00 mm = 2.00 × 10−3 mPlugging these values into the equation, we get:C = (8.85 × 10−10 F/m)(4.00 × 10−4 m^2)/(2.00 × 10−3 m) = 177 pFTherefore, the correct answer is A.

A "Sandwich" Is Constructed of Two Flat Pieces of Metal