Question 8 of 13 Map sapling learning You have three parallel plate capacitors,

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Question 8 of 13 Map sapling learning You have three parallel plate capacitors, each consisting of two parallel circular disks of metal separated by a gap filled with some material. Rank the capacitors by their capacitances from highest to lowest, based on the provided plate radii (r), plate separations (d), and filler materials. Dielectric constants for each material can be found in the table to the right. Capacitor 1 (C): r-18.2x 10-3 m, d-10.6 x 10° m, filled with air Capacitor 2 (C2): r-16.8 x103 m, d 20.0 x 105 m, filled with glass Capacitor 3 (C3): r= 5.88 x 103 m, d= 42.1 x 10-6 m, filled with Gallium Arsenide (GaAs) Highest MaterialK 1.00 3.50 4.50 Diamond 5.50 Porcelain 7.00 13.2 16.0 17.7 ir Paper Glass Ct C3 GaAs Lowest nSb There is a hint available! View the hint by clicking on the bottom divider bar. Click on the divider bar again to hide the hint. Close Previous Give Up & View Solution O Check Answer Next Exit Hint

Explanation / Answer

k is the relative permittivity of the dielectric material between the plates

E0 is the permittivity of space (8.854 x 10^-12)

A is the area of the disc

and d is the distance between the discs

C1=59.36 pF

C2=417.42 pF

C3=7.34 nF

C1<C2<C3

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