Question

A dielectric-filled parallel-plate capacitor has plate area
*A* = 30.0 cm2 , plate separation *d* = 8.00 mm and
dielectric constant *k* = 2.00. The capacitor is connected
to a battery that creates a constant voltage *V* = 15.0 V .
Throughout the problem, use *ϵ*0 = 8.85×10^{−12}
C2/N⋅m2 .

Find the energy *U*1 of the dielectric-filled capacitor.
Express your answer numerically in joules.

The dielectric plate is now slowly pulled out of the capacitor,
which remains connected to the battery. Find the energy *U*2
of the capacitor at the moment when the capacitor is half-filled
with the dielectric. Express your answer numerically in joules.

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, *U*3.
Express your answer numerically in joules.

In the process of removing the remaining portion of the
dielectric from the disconnected capacitor, how much work
*W* is done by the external agent acting on the dielectric?
Express your answer numerically in joules.

Answer #1

A dielectric-filled parallel-plate capacitor has plate area A =
10.0 cm2 , plate separation d = 10.0 mm and dielectric constant k =
4.00. The capacitor is connected to a battery that creates a
constant voltage V = 12.5 V . Throughout the problem, use ϵ0 =
8.85×10−12 C2/N⋅m2 .
Part A) Find the energy U1 of the dielectric-filled capacitor.
Express your answer numerically in joules.
Part B) The dielectric plate is now slowly pulled out of the
capacitor, which...

A dielectric-filled parallel-plate capacitor has plate area
A = 25.0 cm2 , plate separation d = 6.00 mm and
dielectric constant k = 3.00. The capacitor is connected
to a battery that creates a constant voltage V = 5.00 V .
Throughout the problem, use ϵ0 = 8.85×10−12
C2/N⋅m2 .
Part A
Find the energy U1 of the dielectric-filled
capacitor.
Express your answer numerically in joules.
Part B
The dielectric plate is now slowly pulled out of the capacitor,
which...

A dielectric-filled parallel-plate capacitor has plate area A =
30.0 cm2 , plate separation d = 7.00 m and dielectric constant k =
5.00. The capacitor is connected to a battery that creates a
constant voltage V = 7.50 V. Throughout the problem, use ϵ 0 =
8.85×10−12 C2/N⋅m2.
Part A
Find the energy U1 of the dielectric-filled capacitor.
Express your answer numerically in joules.
Part B
The dielectric plate is now slowly pulled out of the capacitor,
which remains...

A dielectric-filled parallel-plate capacitor has plate area
A = 15.0 cm2 , plate separation d = 6.00 mm and
dielectric constant k = 2.00. The capacitor is connected
to a battery that creates a constant voltage V = 12.5 V .
Throughout the problem, use ϵ0 = 8.85×10−12
C2/N⋅m2 .
A) Find the energy U1 of the dielectric-filled
capacitor.
Express your answer numerically in joules.
U1 = __J
B) The dielectric plate is now slowly pulled out of the
capacitor,...

A dielectric-filled parallel-plate capacitor has plate area
A = 30.0 cm2 , plate separation d = 8.00 mm and
dielectric constant k = 4.00. The capacitor is connected
to a battery that creates a constant voltage V = 5.00 V .
Throughout the problem, use ϵ0 = 8.85×10−12
C2/N⋅m2 .
Part A- Find the energy U1 of the dielectric-filled
capacitor.
Part B- The dielectric plate is now slowly pulled out of the
capacitor, which remains connected to the battery. Find...

A dielectric-filled parallel-plate capacitor has plate area A =
30.0 cm2 , plate separation d = 7.00 mm and dielectric constant k =
5.00. The capacitor is connected to a battery that creates a
constant voltage V = 10.0 V . Throughout the problem, use ϵ0 =
8.85×10−12 C2/N⋅m2 .
a. The dielectric plate is now slowly pulled out of the
capacitor, which remains connected to the battery. Find the energy
U2 of the capacitor at the moment when the...

A dielectric-filled parallel-plate capacitor has plate area A =
25.0 cm2 , plate separation d = 7.00 mm and dielectric constant k =
5.00. The capacitor is connected to a battery that creates a
constant voltage V = 15.0 V . Throughout the problem, use ϵ0 =
8.85×10−12 C2/N⋅m2 . Part A Find the energy U1 of the
dielectric-filled capacitor. Part B The dielectric plate is now
slowly pulled out of the capacitor, which remains connected to the
battery. Find...

A dielectric-filled parallel-plate capacitor has plate area AAA
= 20.0 cm2cm2 , plate separation ddd = 8.00 mmmm and dielectric
constant kkK = 4.00. The capacitor is connected to a battery that
creates a constant voltage VVV = 15.0 VV . Throughout the problem,
use ϵ0ϵ0epsilon_0 = 8.85×10−12 C2/N⋅m2C2/N⋅m2 .
a. Find the energy .1U1U_1 of the dielectric-filled
capacitor.
b. The dielectric plate is now slowly pulled out of the
capacitor, which remains connected to the battery. Find the energy...

A dielectric-filled parallel-plate capacitor has plate area
A = 15.0cm2 , plate separation d = 10.0mm and
dielectric constant k = 3.00. The capacitor is connected
to a battery that creates a constant voltage V = 7.50V .
Throughout the problem, use ?0 = 8.85

A parallel plate capacitor, in which the space between the
plates is filled with a dielectric material with dielectric
constant κ = 4.7, has a capacitance of C=1,018 μF and it is
connected to a battery whose voltage is V=10 V and fully charged.
Once it is fully charged, it is disconnected from the battery and
without affecting the charge on the plates, dielectric material is
removed from the capacitor.
How much change occurs in the energy of the capacitor;...

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