Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Suppose you have the following system where there are two types of dielectric materials between capacitor plates. The dimension of the capacitor plates are w = 17.0 cm, l = 37.0 cm and the separation between the plates are d = 11.0 cm. Dielectric material with dielectric constant K1 = 1.8 takes up the upper part of the capacitor with vertical distance h = 9.25 cm. And the remaining part is filled with material having dielectric constant K2 = 2.2. Ky We can replace two types of material with different dielectric constant by only one type of material with effective dielectric constant Keff. This way the capacitance of the whole system remains the same. Calculate the effective dielectric constant. effective dielectric constant Give your answer up to at least three significance digits.

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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C2. Vacuum permitivity,
€0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron,
me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means
micro coulomb.
Suppose you have the following system where there are two types of dielectric materials between capacitor plates. The dimension
of the capacitor plates are w = 17.0 cm, l = 37.0 cm and the separation between the plates ared = 11.0 cm. Dielectric
material with dielectric constant k1 = 1.8 takes up the upper part of the capacitor with vertical distance h = 9.25 cm. And the
remaining part is filled with material having dielectric constant K2 = 2.2.
Ky
We can replace two types of material with different dielectric constant by only one type of material with effective dielectric constant
Keff. This way the capacitance of the whole system remains the same. Calculate the effective dielectric constant.
effective dielectric constant
Give your answer up to at least three significance digits.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C2. Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Suppose you have the following system where there are two types of dielectric materials between capacitor plates. The dimension of the capacitor plates are w = 17.0 cm, l = 37.0 cm and the separation between the plates ared = 11.0 cm. Dielectric material with dielectric constant k1 = 1.8 takes up the upper part of the capacitor with vertical distance h = 9.25 cm. And the remaining part is filled with material having dielectric constant K2 = 2.2. Ky We can replace two types of material with different dielectric constant by only one type of material with effective dielectric constant Keff. This way the capacitance of the whole system remains the same. Calculate the effective dielectric constant. effective dielectric constant Give your answer up to at least three significance digits.
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