26.4 Two conducting spheres (spheres A and B) are electrically isolated so that no charge can be transferred to or from each sphere after the experiment begins. At this time, it is unknown what the sign of any net charge is on each sphere or whether or not either sphere has a net charge at all. The spheres are brought into close proximity with each other but are not al- lowed to touch each other (so that no charge can be transferred from one to the other). A measurement is made of the forces on each sphere and it is found that the spheres are attracted to each other. Which of the following best most accu- rately describes the net charge on each object on this basis?
26.4 Two conducting spheres (spheres A and B) are electrically isolated so that no charge can be transferred to or from each sphere after the experiment begins. At this time, it is unknown what the sign of any net charge is on each sphere or whether or not either sphere has a net charge at all. The spheres are brought into close proximity with each other but are not al- lowed to touch each other (so that no charge can be transferred from one to the other). A measurement is made of the forces on each sphere and it is found that the spheres are attracted to each other. Which of the following best most accu- rately describes the net charge on each object on this basis?
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Need question 26.4 answered please, thank you!
Transcribed Image Text:26.7 Problems
26.1 How many electrons must be added
or removed to an uncharged object in or-
der to give the object a charge of:
-8 μC
-4.8 nC
(a) -1 C
(b) -0.63 C
(c)
(j)
(d)
(k)
(e)
1.1 x 10-14 C (1)
(f) -3.2 x 10-18 C (m)
(g) 8 x 10-19 C (n)
(h)
(i)
8 x 10-19 C
3.2 x 10-18 C
1x 10-15 C
nC
1.6 μC
0.64 C
1C
26.2 A large molecule contains a total of
1652 protons and 1871 neutrons.
molecules have a total charge of
-7.2 x 10-15 C?
(c) How many electrons does each
molecule contain if 15 000 of these
molecules have a total charge of
+2.4 x 10-15 C?
26.3 Carbon has a molar mass of
12 g mol-¹ and a single (uncharged) car-
bon atom consists of 6 protons, 6 neu-
trons, and 6 electrons. What would the
net charge on a 1 g sample of carbon be if
0.005% of all the electrons in the sample
of carbon were removed?
26.4 Two conducting spheres (spheres
A and B) are electrically isolated so that
no charge can be transferred to or from
each sphere after the experiment begins.
At this time, it is unknown what the sign
of any net charge is on each sphere or
whether or not either sphere has a net.
charge at all.
300
The spheres are brought into close
proximity with each other but are not al-
lowed to touch each other (so that no
charge can be transferred from one to the
other). A measurement is made of the
forces on each sphere and it is found that
the spheres are attracted to each other.
Which of the following best most accu-
rately describes the net charge on each
object on this basis?
A. Both spheres must be uncharged.
B. Both spheres must be charged
and they must have the same sign
charge.
C. Both spheres must be charged
and they must have opposite sign
charges.
(a) How many electrons does the (a) Describe what happens to charges (c)
molecule contain if it has a net
charge of 0 C?
(b) How many electrons does each
molecule contain if 15 000 of these
D. One of the spheres must be charged
and the other sphere may be either
uncharged or be charged and have
the opposite sign.
26.5 An uncharged metal sphere, A, is
on an insulated base. A second sphere, B,
of the same shape, size and material car-
rying a charge +Q is brought into contact
with sphere A.
(b)
(c)
(b)
on spheres A and B as they are
brought into contact.
26.6 An uncharged metal sphere, A, is on
an insulated base. A second sphere, B, of
the same shape, size and material carry-
ing a charge +Q is brought close to, but
not touching, sphere A.
(a) Describe what happens to the
charges on spheres A and B as they
are brought close together but not
touching.
If we now remove sphere B, what is
the charge on sphere A?
How is this charge (if any) dis-
tributed?
(c)
If we now remove sphere B and
place it far away, what is the charge
on sphere A?
How is this charge (if any) dis-
tributed?
26.9 A small sheet of aluminium foil
measuring 2 x 2 cm is charged by rub-
bing it on some plastic material. The
charge on the small sheet of aluminium
foil is then measured and found to be +Q.
An uncharged sheet of gold foil measur-
ing 4x4 cm is brought close to, but not
touching, the sheet of aluminium.
(a) What is the total charge on the sheet
of aluminium?
26.7 A positively charged metal sphere
(A) is held close to but not touching an
identical uncharged sphere (B). Sphere A
is now removed. After sphere A has been
removed, Sphere B is placed touching
an initially uncharged sphere, Sphere C.
What is the sign of the charge (if any) on
sphere Cafter it has been placed touching
sphere B?
(b)
The gold foil and aluminium foil are now
allowed to touch before being separated
again.
What is the total charge on the sheet
of gold?
(d)
What is the total charge on the sheet
of gold now?
(Note: both aluminium and gold are good
conductors)
●
What is the total charge on the sheet
of aluminium now?
26.10 The following pairs of materials
were rubbed together and the sign and
approximate magnitude of the charge on
each material noted. Use this informa-
tion to rank these materials from least
electronegative (most likely to lose elec-
trons) to most electronegative, i.e. con-
struct a small triboelectric series.
Paper and synthetic rubber: paper,
small +ve charge; rubber, small -ve
charge.
●
Paper and polypropylene mate-
rial: paper, medium +ve charge;
polypropylene, medium -ve charge.
• Rabbit fur and synthetic rubber:
fur, medium +ve charge; rubber,
medium -ve charge.
Rabbit fur and polypropylene
material: fur, large +ve charge;
polypropylene, large -ve charge.
26.11 To answer these questions use the
small triboelectric series constructed in
Problem 26.10.
26.8 A physicist traps an ionised atom
in a magnetic trap. She performs an ex-
periment and finds that the atom has a
(a) What would the sign of the charge
on synthetic rubber be if it were
rubbed against polypropylene ma-
terial?
charge of +3.2 × 10-¹⁹ C. If the atom has (b) What would the sign of the charge
12 protons and 12 neutrons, how many
electrons must it have at the time it was
trapped by the physicist?
on paper be if it were rubbed against
rabbit fur?
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