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?

1
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?

1. 1.15 x 10-23 J
2. 3.20 x 10-19 J
3. 3.20 x 10-16 J
4. 1.60 x10-14 J

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2
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

1. The potential on the inner surface is greater.
2. The potential on the outer surface is greater.
3. The potentials on both surfaces are zero.
4. The potentials on both surfaces are equal but not
   zero.

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3
There are two capacitors with CA bigger than CB
and they are connected in series with a battery.

1. There is more charge stored on CA.
2. There is more charge stored on CB
3. There is the same charge stored on each
   capacitor.
4. There is the same potential difference across
   both capacitors.

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4
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?

1. 7/3 V
2. 7 V
3. 12 V
4. 21 V

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5
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?

1. 1 V/m
2. 3 V/m
3. 5.2 V/m
4. 9 V/m

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6
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)

1. 2.65 x 105 m/s
2. 5.30 x 106 m/s
3. 1.06 x 106 m/s
4. 1.33 x 106 m/s

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7
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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8
If the distance between two isolated parallel
plates that are oppositely charged is doubled,
the electric field between the plates is
essentially unchanged. However,

1. the potential difference between the plates will
   double.
2. the charge on each plate will double.
3. the force on a charged particle that is half way
   between the plates will get twice as small.
4. the force on a charged particle that is half way
   between the plates will get four times as small.

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9
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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10
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)

1. 88.5 pF
2. 177.0 nF
3. 8.85 µ F
4. 100.0 µ F

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11
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?

1. 1.67 nC
2. 0.60 µ C
3. 0.30 mC
4. 6.0 C

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12
In which case does an electric field do positive
work on a charged particle?

1. When a negative charge moves opposite to the
   direction of the electric field.
2. When a positive charge is moved to a point of
   higher potential energy.
3. When a positive charge completes one circular
   path around a stationary positive charge.
4. When a positive charge completes one elliptical
   path around a stationary positive charge.

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13
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?

1. 0.065 x 10-3 J
2. 4.30 x 10-3 J
3. 0.80 x 10-3 J
4. 5.45 x 10-4 J

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14
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)

1. 0.58 m
2. 0.76 m
3. 1.71 m
4. 2.94 m

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15
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 )

1. 16.2 x 104 V
2. 10.8 x 104 V
3. -10.8 x 104 V
4. -5.4 x 104 V

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16
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?

1. -0.25 m
2. 0.25 m
3. 0.33 m
4. 0.75 m

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17
A 0.25 microfarad capacitor is connected to a 400
V battery. What potential energy is stored in the
capacitor?

1. 1.2 x 10-12 J
2. 1.0 x 10-4 J
3. 0.040 J
4. 0.020 J

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18
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?

1. 150 microcoul
2. 100 microcoul
3. 50 microcoul
4. 33 microcoul

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19
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?

1. 1.7 x 10-3 J
2. 7.5 x 10-3 J
3. 5.0 x 10-3 J
4. 10.0 x 10-3 J

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20
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?

1. 150 microcoul
2. 100 microcoul
3. 50 microcoul
4. 33 micorcoul

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21
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 )

1. 1.8 x 106 V
2. -0.9 x 106 V
3. 0.9 x 106 V
4. 3.6 x 106 V

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22
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)

1. 1.0 x 104 J
2. 1.6 x 10-15 J
3. 1.6 x 10-22 J
4. 6.25 x 1022 J

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23
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)

1. 1.0 x 104 eV
2. 1.6 x 10-15 eV
3. 1.6 x 10-22 eV
4. 6.25 x 1022 eV

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24
A 0.25 microfarad capacitor is connected to a 400
V battery. What is the charge on the capacitor?

1. 1.2 x 10-12 C
2. 1.0 x 10-4 C
3. 0.040 C
4. 0.020 C

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25
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 )

1. 0.45 J
2. 90 J
3. 9,000 J
4. 45,000 J

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26
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 )

1. 2.66 x 10-8 C
2. 3.99 x 10-7 C
3. 5.32 x 10-6 C
4. 6.65 x 10-5 C

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27
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?

1. 1000 V
2. 2000 V
3. 4000 V
4. 4500 V

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28
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)

1. 8.0 x 10-17 J
2. 2.4 x 10-16 J
3. 1.9 x 1021 J
4. 500 J

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29
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 )

1. 5.4 x 104 V
2. 3.6 x 105 V
3. 2.4 x 106 V
4. 1.2 x 107 V

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30
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. 0.34 J
2. -0.75 J
3. 1.0 J
4. -3.4 J

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31
The unit of capacitance, the farad, is
dimensionally equivalent to which of the
following?

1. volt/coulomb
2. volt x coulomb
3. joule/volt
4. coulomb/volt

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32
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

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33
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

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34
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

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35
Which of the following characteristics are held
in common by both gravitational and electrostatic
forces when dealing with either point masses or
charges?

1. inverse square distance law applies
2. forces are conservative
3. potential energy is a function of distance of
   separation
4. all of these choices are valid

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36
If three capacitors of values 1.0, 1.5, and 2.0
microfarads each are connected in parallel, what
is the combined capacitance?

1. 4.5 microfarads
2. 4.0 microfarads
3. 2.17 microfarads
4. 0.46 microfarads

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37
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. 20 V
2. 15 V
3. 10 V
4. 5 V

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38
The unit of electrical potential, the volt, is
dimensionally equivalent to which of the
following?

1. joule x coulomb
2. joule/coulomb
3. coulomb/joule
4. farad x coulomb

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39
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

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40
A free electron in an electric field will
experience a force acting in what direction with
respect to the field?

1. parallel
2. anti-parallel
3. perpendicular
4. along a constant potential line

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41
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

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42
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?

1. 18.0 x 104 V
2. 4.5 x 104 V
3. zero
4. -4.5 x 104 V

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43
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. 1.0 x 107 m/s
2. 1.4 x 107 m/s
3. 2.1 x 107 m/s
4. 2.5 x 107 m/s

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44
If three capacitors of values 1.0, 1.5, and 2.0
microfarads each are connected in series, what is
the combined capacitance?

1. 4.5 microfarads
2. 4.0 microfarads
3. 2.17 microfarads
4. 0.46 microfarads

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45
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. 2.0 x 103 N/C
2. 7.2 x 10-2 N/C
3. 0.5 x 10-3 N/C
4. 0.75 x 106 N/C

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46
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. 4.8 x 10-20 J
2. -4.8 x 10-20 J
3. 1.6 x 10-20 J
4. zero

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47
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. 3.0
2. 9.0
3. 1/3
4. 1/9

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48
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. 4.8 x 10-20 J
2. -4.8 x 10-20 J
3. 1.6 x 10-20 J
4. zero

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49
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. 4.8 x 10-19 V
2. 0.30 V
3. 0.033 V
4. 30.0 V

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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)

1. 2.1 mm
2. 4.2 mm
3. 2.1 cm
4. 4.2 cm

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51
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. 50 eV
2. 80 eV
3. 330 eV
4. 50 keV

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52
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 )

1. 19.6 x 10-12 C
2. 4.75 x 10-12 C
3. 4.75 x 10-11 C
4. 1.76 x10-10 C

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53
What is the equivalent capacitance of the
combination shown?

1. 20 µ F
2. 90 µ F
3. 22 µ F
4. 4.6 µ F

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54
If C1 15 µ F, C2 10 µ F, C3 20 µ F, and
V0 18 V, determine the energy stored by C2 .

1. 0.72 mJ
2. 0.32 mJ
3. 0.50 mJ
4. 0.18 mJ

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55
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. 7.2 x 10-4 C
2. 3.6 x 10-4 C
3. 1.8 x 10-4 C
4. 0.9 x 10-4 C

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56
What is the equivalent capacitance of the
combination shown?

1. 29 µ F
2. 10 µ F
3. 40 µ F
4. 25 µ F

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57
What is the equivalent capacitance between points
a and b ? All capacitors are 1 microfarad
capacitors.

1. 4.00 µ F
2. 1.67 µ F
3. 0.60 µ F
4. 0.25 µ F

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58
If C 45 µ F, determine the equivalent
capacitance for the combination shown.

1. 36 µ F
2. 32 µ F
3. 34 µ F
4. 30 µ F

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59
If C 10 µ F, what is the equivalent capacitance
for the combination shown?

1. 7.5 µ F
2. 6.5 7.5 µ F
3. 7.0 7.5 µ F
4. 5.8 7.5 µ F

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60
There are two capacitors with CA bigger than CB
and they are connected in parallel with a battery.

1. There is more potential difference across CA
2. There is more potential difference across CB
3. There is the same charge stored on each
   capacitor.
4. There is the same potential difference across
   both capacitors.

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