Question: If half of the space between the plates are filled with a dielectric material of dielectric constant κ_1 and rest of the half-space is filled with a dielectric material of dielectric constant κ_2, then  a) Find the equivalent dielectric constant. b) Find the capacitance of this configuration. c) If κ_1 = 2 κ_2, calculate the total stored energy in the capacitor.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
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Question: If half of the space between the plates are filled with a dielectric material of dielectric constant κ_1 and rest of the half-space is filled with a dielectric material of dielectric constant κ_2, then 

a) Find the equivalent dielectric constant.

b) Find the capacitance of this configuration.

c) If κ_1 = 2 κ_2, calculate the total stored energy in the capacitor.

d) Following the conditions and answers found for 3. , calculate the percentage of energy stored in the space of the capacitor filled with the dielectric constant κ_2.

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