o 3/23/2018 11:59 PM?0/100 ? Gradebook re Print | Calculator bd Periodic Table A

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o 3/23/2018 11:59 PM?0/100 ? Gradebook re Print | Calculator bd Periodic Table A Question 2 of 10 Sapling Learning naunaan laring 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: 19.6 *103 m, d 11.3 106 m, filled with air Capacitor 2 (Q): r 16.5 x 103 m, d-19.6 x 106 m, filled with glass. Capacitor 3 (Ca r6.06 x10 m, d- 434 x 105 m, filled with Gallium Arsenide (GaAs) Material Highest Air Paper3.50 Glass Diamond 5.50 Porcelain7.00 GaAs Ge InSb 1.00 4.50 13.2 16.0 17.7 Lowest Ca C C ?.alin O Check Answer. ONext-HEzil Hint

Explanation / Answer

Capacitance is given by:

C = k*e0*A/d

for capacitor 1

k = 1 (for air)

C1 = 1*8.85*10^-12*pi*(19.6*10^-3)^2/(11.3*10^-6)

C1 = 9.45*10^-10 F

for capacitor 2

k = 4.5 (for glass)

C2 = 4.5*8.85*10^-12*pi*(16.5*10^-3)^2/(19.6*10^-6)

C2 = 17.37*10^-10 F

for capacitor 3

k = 13.2 (for GaAs)

C3 = 13.2*8.85*10^-12*pi*(6.06*10^-3)^2/(43.4*10^-6)

C3 = 3.1*10^-10 F

From above values:

C2 > C1 > C3

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