A dielectric-filled parallel-plate capacitor has plate area AA = 30.0 cm2cm2 , plate separation dd = 9.00 mmmm and dielectric constant kk = 3.00. The capacitor is connected to a battery that creates a constant voltage VV = 7.50 VV . Throughout the problem, use ϵ0ϵ0 = 8.85×10−12 C^2/N⋅m^2.   A.The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U2of the capacitor at the moment when the capacitor is half-filled with the dielectric.     B.The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3.   C.In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work WW is done by the external agent acting on the dielectric?

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A dielectric-filled parallel-plate capacitor has plate area AA = 30.0 cm2cm2 , plate separation dd = 9.00 mmmm and dielectric constant kk = 3.00. The capacitor is connected to a battery that creates a constant voltage VV = 7.50 VV . Throughout the problem, use ϵ0ϵ0 = 8.85×10−12 C^2/N⋅m^2.
 
A.The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U2of the capacitor at the moment when the capacitor is half-filled with the dielectric.
 
 
B.The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3.
 
C.In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work WW is done by the external agent acting on the dielectric?
 
A dielectric-filled parallel-plate capacitor has
plate area A = 30.0 cm² , plate separation d =
%3D
9.00 mm and dielectric constant k = 3.00. The
capacitor is connected to a battery that creates
a constant voltage V = 7.50 V. Throughout the
problem, use eo = 8.85x10¬12 C2 /N·m² .
Transcribed Image Text:A dielectric-filled parallel-plate capacitor has plate area A = 30.0 cm² , plate separation d = %3D 9.00 mm and dielectric constant k = 3.00. The capacitor is connected to a battery that creates a constant voltage V = 7.50 V. Throughout the problem, use eo = 8.85x10¬12 C2 /N·m² .
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