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Two protons, each of charge 1.6 x 10-19 C are 2 x 10-5m
apart. What is the change in potential energy if they are
brought 10-5 m closer together?
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2.
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1.15 x 10-23 J
3.20 x 10-19 J
3.20 x 10-16 J
1.60 x10-14 J
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There is a hollow, conducting, uncharged sphere with a
negative charge inside the sphere. Consider the
electrical potential at the inner and outer surfaces of the
sphere
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The potential on the inner
surface is greater.
The potential on the outer
surface is greater.
The potentials on both surfaces
are zero.
The potentials on both surfaces
are equal but not zero.
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There are two capacitors with CA bigger
than CB and they are connected in series
with a battery.
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There is more charge stored 25% 25% 25% 25%
on CA.
There is more charge stored
on CB
There is the same charge
stored on each capacitor.
There is the same potential
difference across both
capacitors.
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The potential at P1 is 7 V and the electric field there is 3
V/m. When I move to P2 , the electric field decreases.
However, if I now triple the size of the charge +Q, the electric
field at point P2 becomes 3 V/m. What is the potential at P2
now?
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7/3 V
7V
12 V
21 V
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The potential at P1 is 7 V and the electric field there is 3 V/m.
When I move to point P2 the potential decreases. However, if
I now triple the size of charge +Q the potential at point P2 now
becomes 7 V. What is electric field at P2 now?
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1 V/m
3 V/m
5.2 V/m
9 V/m
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An electron is released from rest at the negative plate of a
parallel plate capacitor. If the distance across the plate is 5
mm and the potential difference across the plate is 5 V, with
what velocity does the electron hit the positive plate? (melectron
= 9.1 x 10-31 kg, qe = 1.6 x 10-19 C)
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2.65 x 105 m/s
5.30 x 106 m/s
1.06 x 106 m/s
1.33 x 106 m/s
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If two parallel, conducting plates have
equal positive charge, the electric field
lines will
1. leave one plate and
go straight to the
other plate
2. leave both plates and
go to infinity
3. enter both plates from
infinity
4. none of the choices
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If the distance between two isolated parallel plates that
are oppositely charged is doubled, the electric field
between the plates is essentially unchanged. However,
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the potential difference between
the plates will double.
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the charge on each plate will
double.
the force on a charged particle
that is half way between the
plates will get twice as small.
the force on a charged particle
that is half way between the
plates will get four times as small.
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Consider two charged spheres, one with charge +2 C
and the other with -2 C. A proton (a positively charged
particle) is located at the point halfway between the
spheres. What is not zero?
1. the potential energy of
the proton
2. the work to move the
proton from infinity to
that point
3. the force on the
proton
4. all of these are zero
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An electronics technician wishes to construct a parallel
plate capacitor using Rutile (k = 100) as the dielectric. If
the cross-sectional area of the plates is 1.0 cm2 , what is
the capacitance if the Rutile thickness is 1.0 mm? ( e0 =
8.85 x 10-12 MKS units)
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88.5 pF
177.0 nF
8.85 µ F
100.0 µ F
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The dielectric strength of Rutile is 6 x 106 V/m, which
corresponds to the maximum electric field that the dielectric
can sustain before breakdown. What is the maximum charge
that a 10-10 F capacitor with a 1-mm thickness of Rutile can
hold?
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1.67 nC
0.60 µ C
0.30 mC
6.0 C
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In which case does an electric field do
positive work on a charged particle?
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When a negative charge moves
opposite to the direction of the
electric field.
When a positive charge is moved to
a point of higher potential energy.
When a positive charge completes
one circular path around a
stationary positive charge.
When a positive charge completes
one elliptical path around a
stationary positive charge.
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Two capacitors with capacitances of 1.0 and 0.5
microfarads, respectively, are connected in series. The
system is connected to a 100 V battery. What electrical
potential energy is stored in the 1.0 microfarad capacitor?
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0.065 x 10-3 J
4.30 x 10-3 J
0.80 x 10-3 J
5.45 x 10-4 J
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At what distance from a point charge of 8.0
microcoul would the electrical potential be 4.2 x
104 V? (k = 9 x 109 N-m2 /C2)
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0.58 m
0.76 m
1.71 m
2.94 m
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A point charge of +3 microcoul is located at the origin of
a coordinate system and a second point charge of -6
microcoul is at x = 1.0 m. What is the electric potential
at the x = 0.5 m point? (k = 9 x 109 N-m2 /C2 )
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16.2 x 104 V
10.8 x 104 V
-10.8 x 104 V
-5.4 x 104 V
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A point charge of +3 microcoul is located at the origin of
a coordinate system and a second point charge of -6
microcoul is at x = 1.0 m. At what point on the x-axis is
the electrical potential zero?
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-0.25 m
+0.25 m
+0.33 m
+0.75 m
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A 0.25 microfarad capacitor is connected
to a 400 V battery. What potential energy
is stored in the capacitor?
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1.2 x 10-12 J
1.0 x 10-4 J
0.040 J
0.020 J
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Two capacitors with capacitances of 1.0 and 0.5
microfarads, respectively, are connected in parallel. The
system is connected to a 100 V battery. What charge
accumulates on the 1.0 microfarad capacitor?
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150 microcoul
100 microcoul
50 microcoul
33 microcoul
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Two capacitors with capacitances of 1.0 and 0.5
microfarads, respectively, are connected in parallel. The
system is connected to a 100 V battery. What electrical
potential energy is stored in the 1.0 microfarad capacitor?
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1.7 x 10-3 J
7.5 x 10-3 J
5.0 x 10-3 J
10.0 x 10-3 J
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Two capacitors with capacitances of 1.0 and 0.5
microfarads, respectively, are connected in series. The
system is connected to a 100 V battery. What charge
accumulates on the 1.0 microfarad capacitor?
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150 microcoul
100 microcoul
50 microcoul
33 micorcoul
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Two point charges of values +3.4 and +6.6 microcoul,
respectively, are separated by 0.10 m. What is the
electrical potential at the point midway between the two
point charges? (k = 9 x 109 N-m2 /C2 )
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+1.8 x 106 V
-0.9 x 106 V
+0.9 x 106 V
+3.6 x 106 V
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An electron in a TV picture tube is accelerated through
a potential difference of 10 kV before it hits the screen.
What kinetic energy does the electron gain in the
process? (qe = 1.6 x 10-19 C)
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1.0 x 104 J
1.6 x 10-15 J
1.6 x 10-22 J
6.25 x 1022 J
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An electron in a TV picture tube is accelerated through
a potential difference of 10 kV before it hits the screen.
What is the kinetic energy of the electron in electron
volts? (1 ev = 1.6 x 10-19 J)
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1.0 x 104 eV
1.6 x 10-15 eV
1.6 x 10-22 eV
6.25 x 1022 eV
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A 0.25 microfarad capacitor is connected
to a 400 V battery. What is the charge on
the capacitor?
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1.2 x 10-12 C
1.0 x 10-4 C
0.040 C
0.020 C
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Very large capacitors have been considered as a means for
storing electrical energy. If we constructed a very large
parallel plate capacitor of plate area 1 m2 using Pyrex (k =
5.6) of thickness 2 mm as a dielectric, how much electrical
energy would it store at a plate voltage of 6000 V? ( e0 =
8.85 x 10-12 C/N-m2 )
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0.45 J
90 J
9,000 J
45,000 J
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How much charge can be placed on a capacitor of plate
area 10 cm2 with air between the plates before it
reaches "atmospheric breakdown" where E = 3 x 106
V/m? ( e0 = 8.85 x 10-12 C/N-m2 )
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2.66 x 10-8 C
3.99 x 10-7 C
5.32 x 10-6 C
6.65 x 10-5 C
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A uniform electric field, with a magnitude of 5 x 102 N/C,
is directed parallel to the positive x-axis. If the potential
at x = 5 m is 2500 V, what is the potential at x = 2 m?
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1000 V
2000 V
4000 V
4500 V
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A uniform electric field, with a magnitude of 5 x 102 N/C, is
directed parallel to the positive x-axis. If the potential at x = 5
m is 2500 V, what is the change in potential energy of a
proton as it moves from x = 5 m to x = 2 m? (qp = 1.6 x
10-19 C)
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8.0 x 10-17 J
2.4 x 10-16 J
1.9 x 1021 J
500 J
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What will be the electrical potential at a
distance of 0.15 m from a point charge of
6.0 microcoul? (k = 9 x 109 N-m2 /C2 )
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5.4 x 104 V
3.6 x 105 V
2.4 x 106 V
1.2 x 107 V
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Two point charges of values +3.4 and +6.6 microcoul,
respectively, are separated by 0.20 m. What is the
potential energy of this 2-charge system? (k = 9 x 109
N-m2 /C2 )
1.
2.
3.
4.
+0.34 J
-0.75 J
+1.0 J
-3.4 J
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
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7
8
9
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34
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36
37
38
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40
41
42
43
44
45
46
47
48
49
50
The unit of capacitance, the farad, is
dimensionally equivalent to which of the
following?
1.
2.
3.
4.
volt/coulomb
volt x coulomb
joule/volt
coulomb/volt
25% 25% 25% 25%
1
2
3
4
1
2
3
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5
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8
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44
45
46
47
48
49
50
Inserting a dielectric material between two charged
parallel conducting plates, originally separated by air
and disconnected from a battery, will produce what
effect on the capacitor?
1. increase charge
2. increase voltage
3. increase
capacitance
4. decrease
capacitance
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
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37
38
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40
41
42
43
44
45
46
47
48
49
50
Increasing the separation of the two charged parallel
plates of a capacitor which are disconnected from a
battery will produce what effect on the capacitor?
1. increase charge
2. decrease charge
3. increase
capacitance
4. decrease
capacitance
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
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32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Increasing the voltage across the two
plates of a capacitor will produce what
effect on the capacitor?
1. increase charge
2. decrease charge
3. increase
capacitance
4. decrease
capacitance
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
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30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Which of the following characteristics are held in
common by both gravitational and electrostatic forces
when dealing with either point masses or charges?
1.
2.
3.
4.
inverse square distance
law applies
forces are conservative
potential energy is a
function of distance of
separation
all of these choices are
valid
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
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15
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19
20
21
22
23
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25
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28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If three capacitors of values 1.0, 1.5, and 2.0
microfarads each are connected in parallel,
what is the combined capacitance?
1.
2.
3.
4.
4.5 microfarads
4.0 microfarads
2.17 microfarads
0.46 microfarads
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
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29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If a 10.0 microfarad capacitor is charged so that
it stores 2 x 10-3 J of electrical potential energy,
what is its electrical potential?
1.
2.
3.
4.
20 V
15 V
10 V
5V
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
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30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
The unit of electrical potential, the volt, is
dimensionally equivalent to which of the
following?
1.
2.
3.
4.
joule x coulomb
joule/coulomb
coulomb/joule
farad x coulomb
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
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23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
The quantity of electrical potential, the
volt, is dimensionally equivalent to which
of the following?
1. force/charge
2. force x charge
3. electric field x
distance
4. electric
field/distance
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
A free electron in an electric field will
experience a force acting in what direction
with respect to the field?
1.
2.
3.
4.
parallel
anti-parallel
perpendicular
along a constant
potential line
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
At which location will the electric field between
the two parallel plates of a charged capacitor be
the strongest in magnitude?
1. near the positive plate
2. near the negative
plate
3. midway between the
two plates
4. electric field is
constant throughout
space between plates
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Four point charges are positioned on the rim of a circle of
radius 10 cm. The charge on each of the four (in microcoul)
is +0.5, +1.5, -1.0, -0.5. If we are told that the electrical
potential at the center of the circle due to the +0.5 charge
alone is 4.5 x 104 V, what is the total potential at the center
due to the four charges combined?
25% 25% 25% 25%
1.
2.
3.
4.
18.0 x 104 V
4.5 x 104 V
zero
-4.5 x 104 V
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
1
2
3
4
If an electron is accelerated from rest through a
potential difference of 1200 V, what is its approximate
velocity at the end of this process? (qe = 1.6 x 10-19 C;
me = 9.1 x 10 -31 kg)
1.
2.
3.
4.
25% 25% 25% 25%
107
1.0 x
m/s
1.4 x 107 m/s
2.1 x 107 m/s
2.5 x 107 m/s
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If three capacitors of values 1.0, 1.5, and 2.0
microfarads each are connected in series, what
is the combined capacitance?
1.
2.
3.
4.
4.5 microfarads
4.0 microfarads
2.17 microfarads
0.46 microfarads
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If a 12 V battery is connected between two parallel
plates separated by 0.6 cm, what is the magnitude of
the electric field between the plates?
1.
2.
3.
4.
2.0 x 103 N/C
7.2 x 10-2 N/C
0.5 x 10-3 N/C
0.75 x 106 N/C
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
An electron (charge = -1.6 x 10-19 C) moves 10 cm on a
path perpendicular to the direction of a uniform electric
field of strength 3.0 N/C. How much work is done on the
electron in this process?
1.
2.
3.
4.
4.8 x 10-20 J
-4.8 x 10-20 J
1.6 x 10-20 J
zero
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Two positive point charges are initially separated by a
distance of 2 cm. If their separation is increased to 6
cm, the resultant potential energy is what factor times
the initial potential energy?
1.
2.
3.
4.
3.0
9.0
1/3
1/9
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
A proton (+1.6 x 10-19 C) moves 10 cm on a path
parallel to the direction of a uniform electric field of
strength 3.0 N/C. How much work is done on the proton
by the electrical field in this process?
1.
2.
3.
4.
4.8 x 10-20 J
-4.8 x 10-20 J
1.6 x 10-20 J
zero
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
When a proton (+1.6 x 10-19 C) moves 0.10 m along
the direction of an electric field of strength 3.0 N/C, what
is the magnitude of the electrical potential difference
between the proton's initial and ending points?
1.
2.
3.
4.
4.8 x 10-19 V
0.30 V
0.033 V
30.0 V
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
An electron with velocity v = 106 m/s is sent between the
plates of a capacitor where the electric field is E = 500 V/m. If
the distance the electron travels through the field is 1 cm,
how far is it deviated (Y) in its path when it emerges from the
electric field? (melectron = 9.1 x 10-31 kg, qelectron = 1.6 x 10-19
C)
25% 25% 25% 25%
1.
2.
3.
4.
2.1 mm
4.2 mm
2.1 cm
4.2 cm
1
2
3
4
5
6
7
8
9
10
11
12
13
1 14
15
2 16
17
3 18
19
420
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Electrons in an X-ray machine are accelerated from rest
through a potential difference of 50,000 V. What is the
kinetic energy of each of these electrons in eV? (1 eV =
1.6 x 10-19 J)
1.
2.
3.
4.
50 eV
80 eV
330 eV
50 keV
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
A parallel-plate capacitor has dimensions 2 cm x 3 cm. The
plates are separated by a 1 mm thickness of paper (dielectric
constant k = 3.7). What is the charge that can be stored on
this capacitor, when connected to a 9-volt battery? ( e0 =8.85
x 10-12 C2 /N-m2 )
25% 25% 25% 25%
1.
2.
3.
4.
19.6 x 10-12 C
4.75 x 10-12 C
4.75 x 10-11 C
1.76 x10-10 C
1
2
3
4
5
6
7
8
9
10
11
12
1
13
14
2
15
16
3
17
18
194
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
What is the equivalent capacitance of
the combination shown?
1.
2.
3.
4.
25% 25% 25% 25%
20 µ F
90 µ F
22 µ F
4.6 µ F
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If C1 = 15 µ F, C2 = 10 µ F, C3 = 20 µ F,
and V0 = 18 V, determine the energy
stored by C2 .
1.
2.
3.
4.
25% 25% 25% 25%
0.72 mJ
0.32 mJ
0.50 mJ
0.18 mJ
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
A parallel-plate capacitor has a capacitance of 20 µ F.
What charge on each plate will produce a potential
difference of 36 V between the plates of the capacitor?
1.
2.
3.
4.
7.2 x 10-4 C
3.6 x 10-4 C
1.8 x 10-4 C
0.9 x 10-4 C
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
What is the equivalent capacitance of
the combination shown?
1.
2.
3.
4.
25% 25% 25% 25%
29 µ F
10 µ F
40 µ F
25 µ F
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
What is the equivalent capacitance
between points a and b ? All capacitors
are 1 microfarad capacitors.
1.
2.
3.
4.
25% 25% 25% 25%
4.00 µ F
1.67 µ F
0.60 µ F
0.25 µ F
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If C = 45 µ F, determine the equivalent
capacitance for the combination shown.
1.
2.
3.
4.
25% 25% 25% 25%
36 µ F
32 µ F
34 µ F
30 µ F
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
If C = 10 µ F, what is the equivalent
capacitance for the combination shown?
1.
2.
3.
4.
25% 25% 25% 25%
7.5 µ F
6.5 7.5 µ F
7.0 7.5 µ F
5.8 7.5 µ F
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
There are two capacitors with CA bigger
than CB and they are connected in parallel
with a battery.
1.
2.
3.
4.
There is more potential
difference across CA
There is more potential
difference across CB
There is the same charge
stored on each capacitor.
There is the same
potential difference
across both capacitors.
25% 25% 25% 25%
1
2
3
4
1
2
3
4
5
6
7
8
9
10
11
12
13
14
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17
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19
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