Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively
charged? (c) Is the equilibrium stable or unstable?
5 In Fig. 21-16, a central particle of
charge !q is surrounded by two cir1 Figure 21-12 shows (1)
cular rings of charged particles. What–e –2q –e
four
situations
in and
which
are the
magnitude
direction of
five
charged
particles
are
(2) centhe net electrostatic force on the
+e
+e
evenly
spaced
tral particle
due along
to thean
other parti–7q
axis.
The charge
cles? (Hint:
Considervalues
symmetry.)
(3)
+4q
+2q
+e
–2q–e
+q
+e
–e
r
–7q
–e
–e
+e R +e
are indicated except for
6 A positively charged ball is
+q
the central particle, which
brought close to an electrically
neu(4)
has
the
same
charge
in
all
+e –2q–e
tral isolated conductor. The conduc-–e –2q +e
four
Rank while
the the ball
tor issituations.
then grounded
Fig. 21-12 +4q
Question 1.
situations
according
is kept close.
Is thetoconductor
the
magnitude
of thecharged
net
charged
positively,
negaFig. 21-16 Question 5.
electrostatic
force
particle,
greatest first.
tively, or neutral
if on
(a)the
thecentral
ball is first
cles o
the m
an el
Are t
Is the
great
two fo
cel? (
that o
What
maini
3
midd
fi
4? (In
o
butio
comp
taken
away21-13
and then
thethree
ground
connection
is removed
2
Figure
shows
pairs
of identical
spheres and
that (b)
are to
the
ground
connection
is
first
removed
and
then
the
ball
is
taken
be touched together and then separated. The initial charges on them
away?
are indicated. Rank the pairs according to (a) the magnitude of the
7 Figure
21-17 shows
threetouching
situations
involving
charged
particharge
transferred
during
and
(b) theacharge
left
on the
cle and a uniformly
chargedgreatest
spherical
shell. The charges are given,
positively
charged sphere,
first.
and the radii of the shells are indicated. Rank the situations according to the magnitude of the force on the particle due to the
presence of the shell, greatest first.
** View All Solutio
+2q
+6q
2R
d
R
+5Q
(a)
Fig. 21-17
8
–q
–4Q
R/2
+8Q
(b)
(c)
Question 7.
Figure 21-18 shows four arrangements of charged particles.
p
p
10 I
square
along
tion o
other
the am
3
(c )21-35).
) cube is 0.40 nm.wi
cube’s center (Fig.
The edge length of (d
the
tho
an
The Cs! ions are eachFig.
deficient
one electron
21-21by Problem
2. (and thus each has the
•
(c
) the Cl# ion has one excess
(d ) electron (and thus an
ot
a
charge
of
!e),
and
0° counf
(c ) (a) What is the magnitude
(dof
) the net electrosta-oth
has
a
charge
of
#e).
21-21
Problem
2. point charge q " ••1
q
•3 SSM What mustFig.
be the
distance
between
o what x
1
#
!
Fig.Cl
21-21
tic
exerted
the
ion#47.0
byProblem
the
Cs electrostatic
ions at the corners
foQ
26.0force
mC and
pointon
charge
q2 "
mCeight
for2.the
force ••1
original
!
of
the
cube?
(b)
If one
thedistance
Cs of
ions
is N?
missing,
crystal
SSM
q4p
•3
What
be
the
between
pointthe
charge
q1is"said for
between
them
tomust
have
a of
magnitude
5.70
to
have
defect;
what
is the
of
electrostatic
SSM
•3
What
must
be
the
distance
between
point
charge force
q1 "forceqQ
26.0
mC aand
point
charge
q2 "magnitude
#47.0 mC
forthe
thenet
electrostatic
4a
•4
In the #return stroke of a typical lightning
bolt, a current
!
axis,
at
a
liday_c21_561-579v2.qxd
16-11-2009
10:54
Page
577ions? force
Q/
exerted
on
the
iona by
seven
remaining
Cs
26.0
mC and
point
charge
q2the
" #47.0
the electrostatic
pat
between
them
toClhave
magnitude
ofmC
5.70for
N?
4
of
2.5
%
10
A
exists
for
20
ms.
How
much
charge
is
transferred
in
$ #27e.
pa
between them to have a magnitude of 5.70 N?
anc
•4
In
the
return
stroke
of
a
typical
lightning
bolt,
a
current
this
event?
between
an
tro
4 the return stroke of a typical lightning bolt, a current
:
•4
of 2.5 % 10In
A exists for 20 ms. How much
charge is transferred in
•
#6
F3,net on
–charge $3.00 % 10
•5
A
particle
of
C
is
12.0
cm
distant
from
a
tro
cle
4
Cl
of
% 10 A exists for 20 ms. How much
charge is transferred in
this2.5
event?
a
#6
mize the
second
particle
of
charge
#1.50
%
10
C.
Calculate
the
magnicle
this event?
••1a
Cs+chargeforce
•5
of
$3.00between
% 10 #6 C
12.00.40
cm distant
from a
nm
e?
tudeA
ofparticle
the electrostatic
theisparticles.
••1
an
#6 #6
•5
A particle
$3.00
%%
10 10
C is
cm distant
a
second
particleofofcharge
charge
#1.50
C.12.0
Calculate
the from
magni•
#3
an
ILW Two equally charged particles
•6
are
held
3.2
%
10
m
y cosmic
an
#6
second
particle
of charge
#1.50
% 10 theC.particles.
Calculate the magnitude of the
electrostatic
force
between
l
an
apart
and
then
released
from
rest.
The
initial
acceleration
of
the
otons all
••1P
tude of the electrostatic force between the
particles.
#3
2
ILW
•6
Two
equally
charged
particles
are
held
3.2
%
10
m
first
particle
is
observed
to
be
7.0
m/s
and
that
of
the
second
to
th’s sur••1
loa
#3
ILW
•6
Two
charged
particles
are
held
3.2
%
m
2thenequally
#7 10
apart
and
released
from
rest.
The
initial
acceleration
of
the
be 9.0 m/s . If the mass of the first particle is 6.3 % 10 kg, what loc
protons
Pap
2 initial acceleration of the
apart
and
then
released
from
rest.
The
first
particle
is
observed
to
be
7.0
m/s
and
that
of
the
second
to
are
theHow
mass many
of theelectrons
second particle
and (b) the magnitude
of a Pa
d by the
ILW
ax
•25 (a)
would
from
2 have to be removed
2 is observed
#7
first
particle
to
be
7.0
m/s
and
that
of
the
second
to
be
9.0
m/s
.
If
the
mass
of
the
first
particle
is
6.3
%
10
kg,
what
•
the
charge
of each
particle?
#7
Fig.
21-35
Problem
35.C?
axi
pa
coin
to
leave
it
with
a
charge
of
!1.0
"
10
2
#7
be
If theofmass
the first
particle
6.3the
% 10
kg, what
are9.0
(a)m/s
the. mass
the of
second
particle
andis(b)
magnitude
of
o
pa
••7
In
Fig.
21-22,
three
charged
particles
lie
on
an
x
axis.
Particles
are
(a)What
the of
mass
ofparticle?
the second of
particle
and (b) the magnitude
of a ••1
e fixed in
the
•26charge
iseach
the
magnitude
the electrostatic
force between
t
sec.
21-6
Charge
Is
Conserved
1
and
2
are
fixed
in
place.
Particle
3
is
free
to
move,
but
the
net
••1
the
charge
of eachsodium
particle?ion (Na!, of charge !e) and an ad- of3
of |q1| $
singly
charged
••7
In
Fig.
21-22,
three
charged
particles
lieby
onthe
annuclear
x axis. Particles
of
•36
Electrons
and
positrons
are
produced
transforma#
tios
near parjacent
singly
charged
chlorine
ion
(Cl
,
of
charge
#e)
in
a
salt
crys••7
In
Fig.
21-22,
three
charged
particles
lie
on
an
x
axis.
Particles
1 and 2 are fixed in place.
is free to move, but the net
L 12Particle 3L 23
tions
protons
and neutrons
known
asm?
beta
decay. (a) If a proton trans-tio
3i
ection of
if of
their
is 2.82
"
10 #10
1taland
2 areseparation
fixed in place.
Particle
3 is
free tox move, but the net
1 an electron
2 or a positron
3 produced? (b) If a neu- 3suo
forms into a neutron, is
L 12
L 23
m
SSM The magnitude of the electrostatic
•27
force
between
two
suc
x
it
tron transforms into
a proton,is
an electron
a positron
produced?
L 12
L 23
Fig.
73or
and
40.
o
1 21-22
2Problems
identical ions that are
separated
by a distance
of 5.0 " 10 #10 m is itm
x
1
1X in the2following nuclear
3
•37
Identify
reactions:
(a)many
H ! mu
3.7 "SSM
10 #9 N.
(a)
What
is theProblems
charge of
each40.ion?
(b) How
Fig.
21-22
7
and
of
9
12
1
15
1
4
Be
:
X
!
n;
(b)
C
!
H
:
X;
(c)
N
!
H
:
He
!
X.
Fig. 21-22
Problems
7 and
40. giving the ion its of
electrons are “missing”
from
each ion
(thus
Appendix
F will help.
charge imbalance)?
blem 29.
x (m)
s
** View All Solu
** View All Soluti
•28
A current of 0.300 A through your chest can send your
Additional
Problems
**
View
All
Solutio
heart
into
fibrillation,
ruining
the
normal
rhythm
of
heartbeat
A
B
C and
38
Figure 21-36 shows**
fourView All Solutio
disrupting the flow of blood (and thus oxygen) to your brain. If
identical conducting spheres that are
that current
forfrom
2.00 min,
how many conduction electrons
actually
well persists
separated
one anW
pass through
your
other.
Sphere
Wchest?
(with an initial
y
••29 of zero)
In Fig.
particles
2
charge
is 21-32,
touched
to sphere
Fig. 21-36 Problem 38.
4
and 4, of charge #e, are fixed in