Question

A parallel plate capacitor has plates with equal and opposite charges ±Q , which are initially separated by a distance d . The capacitor is not connected to a battery. Then, the plates are moved farther apart so they are now separated by a distance 2d and also a dielectric with dielectric constant κ=2 that fills the entire space in the gap is inserted. What happens to the stored energy U and the potential difference between the plates ΔV=V+−V− after the two changes (increasing separation and inserting dielectric) are made?

Does U (increase, decrease or stay the same) and does ΔV (increase, decrease or stay the same)?

Answer #1

A parallel plate capacitor with plate separation d is connected
to a battery. The capacitor is fully charged to Q Coulombs and a
voltage of V. (C is the capacitance and U is the stored energy.)
Answer the following questions regarding the capacitor charged by a
battery. For each statement below, select True or False.
After being disconnected from the battery, inserting a
dielectric with κ will increase U.
After being disconnected from the battery, inserting a
dielectric with κ...

A parallel plate capacitor with plate separation d is connected
to a battery. The capacitor is fully charged to Q Coulombs and a
voltage of V Volts. (C is the capacitance and U is the stored
energy.) Select true or false for each statement.
1)With the capacitor connected to the battery, inserting a
dielectric with κ > 1 will decrease U.
2)With the capacitor connected to the battery, decreasing d
increases C.
3)After being disconnected from the battery, decreasing d...

1)A parallel plate capacitor (denoted as Capacitor 1) has a plate
area A1
and a separation distance d1.
It is filled with a dielectric made of mylar (κ=3.1). With these
conditions, it has a capacitance C1.
A second parallel plate capacitor (denoted as Capacitor 2) has the
same plate area as the first capacitor (A1
= A2)
but the separation distance is twice as large (d1
= ½ d2).
The second capacitor is filled with the same dielectric (mylar) and...

A parallel plate capacitor with plate separation d is connected
to a battery. The capacitor is fully charged to Q Coulombs and a
voltage of V. (C is the capacitance and U is the stored energy.)
Answer the following questions regarding the capacitor charged by a
battery. For each statement below, select True or False. 1. After
being disconnected from the battery, inserting a dielectric with ?
will decrease U. 2.With the capacitor connected to the battery,
decreasing d increases...

A parallel plate capacitor has plates of area A =0.075
m2 separated by distance d =2.30 ✕ 10−5 m and
is attached to a battery with potential difference ΔV = 14 V.(The
permittivity of free space is εo= 8.85 ✕
10−12 C2/N·m2).
(a)Calculate the capacitance (in F) if the space between the
plates is filled with air.
(b) What is the electric field between the plates of the
capacitor?
Suppose that this capacitor is replaced with another
with capacitance C...

A parallel plate capacitor consists of two circular plates of
radius R and thickness t, separated by a distance d. The gap
between the plates is filled with polystyrene (κ=2.5) and the
capacitor is connected to a 1.5 V battery. Quantitatively explain
how (i.e. by what factor) the capacitance AND stored energy would
change given the following modifications. (Take each part on is
own, not as a series of events!)
(a) Halving the plate separation.
(b) Removing the polystyrene so...

A parallel plate capacitor has plates of area A =0.055
m2 separated by distance d =2.20 ✕ 10−5 m and
is attached to a battery with potential difference ΔV = 19 V.(The
permittivity of free space is εo= 8.85 ✕
10−12 C2/N·m2).
(a) Calculate the capacitance (in F) if the space between the
plates is filled with air.
(b) What is the electric field between the plates of the
capacitor? In N/C
Suppose that this capacitor is replaced with another...

A parallel plate capacitor has plates of area A =0.075 m2
separated by distance d =1.00 ✕ 10−5 m and is attached to a battery
with potential difference ΔV = 10 V.(The permittivity of free space
is εo= 8.85 ✕ 10−12 C2/N·m2). (a) Calculate the capacitance (in F)
if the space between the plates is filled with air. F (b) What is
the electric field between the plates of the capacitor? Suppose
that this capacitor is replaced with another with...

A parallel-plate capacitor with plate separation d is connected
to a battery that provides a potential difference ε. While still
connected to the battery, the plate separation is increased to
2d.
a) Does the potential difference across the capacitor change as
the separation increases? If so, then by what factor? If not, then
why not?
b) Does the capacitance change as the separation increases? If
so, then by what factor? If not, then why not?
c) Does the capacitor charge...

A parallel-plate air capacitor of area A= 14.0 cm2
and plate separation d= 2.20 mm is charged by a battery to a
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so that it fills the volume between the plates (with the capacitor
still connected to the battery), how much additional charge will
flow from the battery onto the positive plate?

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