Question

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
*U*2 of 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, *U*3.

c.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?

Answer #1

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 = 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 ϵ0 = 8.85×10−12
C2/N⋅m2 .
Find the energy U1 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...

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
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 = 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 = 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 =
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 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 with a
plate area of 20.0 cm2 and plate separation of 8.00 mm
is connected to a constant potential difference of 5.00 V. A
dielectric with a dielectric constant of 4.00 is inserted between
the plates.
a) What is the energy stored in the capacitor?
b) The capacitor is disconnected from the battery and the
dielectric is removed from the interior of the capacitor. What is
the new energy of the capacitor now?
c) What does...

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