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 = 15.0 cm, l = 23.0 cm and the separation between the plates are d = 10.0 cm. Dielectric material with dielectric constant K1 = 1.7 takes up the upper part of the capacitor with vertical distance h = 5.75 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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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=15.0 cm, l= 23.0 cm and the
separation between the plates are d= 10.0 cm.
Dielectric material with dielectric constant
Kị = 1.7 takes up the upper part of the capacitor
with vertical distance h = 5.75 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: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=15.0 cm, l= 23.0 cm and the separation between the plates are d= 10.0 cm. Dielectric material with dielectric constant Kị = 1.7 takes up the upper part of the capacitor with vertical distance h = 5.75 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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