Question

The capacitance of a parallel plate capacitor filled with a dielectric is C = k * (epsilon_0 * A) / d where k is the Dielectric constant (relative permittivity) of the material. You are asked to design a capacitor that has a capacitance of 2pF using one of the following materials that you have available as a dielectric. By considering each possible material, determine the cheapest solution assuming that the electrode material is the same in each case and costs $0.10m^2. Material | Dielectric Constant k | Thickness | Price $/m^2 Polyethylene | 2.3 | 70um | 0.15 Polystyrene (e.g. Mylar) | 3.2 | 188um | 0.1 Silicon nitride | 7.8 | 220nm | 5 Polyimide | 4 | 3um | 0.25

          The capacitance of a parallel plate capacitor filled with a dielectric is
C = k * (epsilon_0 * A) / d
where k is the Dielectric constant (relative permittivity) of the material. You are asked to design a capacitor that has a capacitance of 2pF using one of the following materials that you have available as a dielectric. By considering each possible material, determine the cheapest solution assuming that the electrode material is the same in each case and costs $0.10m^2.

Material | Dielectric Constant k | Thickness | Price $/m^2
Polyethylene | 2.3 | 70um | 0.15
Polystyrene (e.g. Mylar) | 3.2 | 188um | 0.1
Silicon nitride | 7.8 | 220nm | 5
Polyimide | 4 | 3um | 0.25

The capacitance of a parallel plate capacitor filled with a dielectric is
C = k * (epsilon0 * A) / d
where k is the Dielectric constant (relative permittivity) of the material. You are asked to design a capacitor that has a capacitance of 2pF using one of the following materials that you have available as a dielectric. By considering each possible material, determine the cheapest solution assuming that the electrode material is the same in each case and costs 0.10m^2.

Material | Dielectric Constant k | Thickness | Price/m^2
Polyethylene | 2.3 | 70um | 0.15
Polystyrene (e.g. Mylar) | 3.2 | 188um | 0.1
Silicon nitride | 7.8 | 220nm | 5
Polyimide | 4 | 3um | 0.25

Added by Elena C.

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