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1

If an electric force from the first charge acts on the second charge
10N
to the right then the force exerted by the second charge on the first equals

We cannot determine because -C
we don't know the magnitude of the charges

\[F_{21}=10\;\;N \;\;\;\;\;\;-A\] to the right

We cannot determine because -D
we don't know the type of charges

\[F_{21}=10\;\;N\;\;\;\;\;\;-B\] to the left

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    2

    By what factor does the electric force between two charges change if the magnitude of one charge is doubled and the distance between them is halved

    \[Fe_2= 2Fe_1\;\;\;\;\;\;-C\]

    \[Fe_2= 4Fe_1\;\;\;\;\;\;-A\]

    \[Fe_2= 8Fe_1\;\;\;\;\;\;-D\]

    \[Fe_2= 16Fe_1\;\;\;\;\;\;-B\]

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    3

    Two charges have the same magnitude as shown in the figure. The distance between them is 0.2 m. If the electric force between them equals 0.4 N, then the magnitude of each charge equals:
    0.2 m
    The electric force between them is 0.4 N
    Then the magnitude of each charge equals:

    \[q=1.77 ×10^{-6}\;\;c \;\;\;\;\;\; -C \]

    \[q = 4.85 X10^{-6}\;\;c \;\;\;\;\;\;-A\]

    \[q=8.62 ×10^{-6}\;\;c \;\;\;\;\;\; -D \]

    \[q=1.33 X10^{-6}\;\;c\;\;\;\;\;\;-B\]

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    4

    An electroscope charged with a positive charge was approached by an object. It was observed that the leaves of the electroscope diverged more, which means the object:

    Cannot determine the charge of the object -C
    because it didn't touch the electroscope

    The object is uncharged -A

    The object is positively charged -D

    The object is negatively charged -B

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    5

    One of the following conductors increased in mass:
    Note: In the picture, approach occurred in \[A\;\;\;\;\;,B\] and contact occurred in \[C\;\;\;\;\;,D\]

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    6

    A neutral electroscope was approached by a positively charged conductor. It was observed that the leaves of the electroscope diverged, which means:

    The stem and leaves were charged positively - C

    The stem was charged positively - A
    and the leaves negatively

    The stem and leaves were charged negatively - D

    The stem was charged negatively - B
    and the leaves positively

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    7

    Two similar neutral conductors were approached by a positively charged object as shown in the figure. The conductors were then separated from each other without removing the charged object. The charges on the conductors will be:

    (B positive charge)(A negative charge) - C

    (B negative charge)(A negative charge) - A

    (B negative charge)(A positive charge) - D

    (B positive charge)(A positive charge) - B

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    8

    Two similar neutral conductors were brought close to a negatively charged object as shown in the figure
    Then they were connected to ground and then the connection to ground was cut
    The conductors were moved apart from each other without moving the charged object
    The charge on the conductors will be:

    (B positive)(A neutral) -C

    (B negative) (A neutral) -A

    (B positive)(A positive) -D

    (B negative)(A positive)-B

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    9

    Two similar neutral conductors were brought close to a positively charged object
    as shown in the figure between the two conductors
    then connected to the ground
    then the ground connection was disconnected
    and the charged object was moved away
    and the conductors were separated from each other
    then the charge on the conductors would be:

    (B positive charge)(A neutral) -C

    (B negative charge) (A negative charge) -A

    (B neutral)(A positive charge) -D

    (B negative charge)(A positive charge)-B

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    10

    By what factor does the distance between two charges change if the mutual force between them increases to three times its original value while keeping all other factors constant?

    \[r_2=0.577r_1 \;\;\;\;\;\; -C \]

    \[r_2=3r_1 \;\;\;\;\;\;-A\]

    \[r_2=0.11r_1 \;\;\;\;\;\; -D \]

    \[r_2=9r_1\;\;\;\;\;\;-B\]

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    11

    In Charles Coulomb's experiment, the deflection of ball \[A\] was measured when the charges of both balls were \[ qA = qB \] and the distance between them was \[r\]. If we reduce the distance between the balls to half while keeping the deflection of ball \[a\] constant, by what value should we change the charge of ball \[B \]

     

    \[q_2=0.5q_1 \;\;\;\;\;\; -C \]

    \[q_2=2q_1 \;\;\;\;\;\;-A\]

    \[q_2=0.25q_1 \;\;\;\;\;\; -D \]

    \[q_2=4q_1\;\;\;\;\;\;-B\]

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    12

    A neutral conductor was approached by a negatively charged object without contact
    and the conductor was grounded by touching the earth then the connection to earth was cut
    and the negatively charged object was moved away from the conductor. The conductor then

    Swimming fish

    Only charge redistribution occurred -C

    Remained neutral -A

    Became negatively charged -D

    Became positively charged -B

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    13

    Three charges are in a straight line as shown in the figure of the same type
    and their magnitudes are shown in the figure. The direction of the force acting on charge
    q2

    To the left -C

    Net force is zero -A

    To the right -D

    Northeast direction -B

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    14

    A spherical object was touched by a charged object and it was noticed that the sphere at the contact point
    acquired a charge similar to the charged object while the rest of the object remained neutral. This means the spherical object is

    Copper sphere -C

    Metal sphere -A

    Glass sphere-D

    Graphite sphere-B

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    15

    Based on the figure below, the charge \[q_2\] is and the electric force acting on it

    \[F_{12}= 10\;\; N\;\; \longrightarrow \;\;\;\;\;\;-C\] q_2 has positive charge

    \[F_{12}= 5\;\; N\;\; \longleftarrow\;\;\;\;\;\;-A\] q_2 has positive charge

    \[F_{12}= 5\;\; N\;\; \longleftarrow\;\;\;\;\;\;-D\] q_2 has negative charge

    \[F_{12}= 10\;\; N\;\; \longrightarrow\;\;\;\;\;\;-B\] q_2 has negative charge

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    16

    An object with unknown charge
    When the object with unknown charge touched the electroscope, the leaves of the electroscope diverged
    The object with unknown charge was removed and a positively charged object was brought near the electroscope without touching it
    It was observed that the divergence of the electroscope leaves decreased This indicates that the object with unknown charge was

    The object lost electrons - C

    The object is positively charged - A

    The object is uncharged - D

    The object is negatively charged - B

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    17

    An equilateral triangle has the following charges placed at its vertices. The resultant force acting on an electron at the center of the triangle is represented by the vector

    \[3 \;\;\;\;\;\; -C \]

    \[1 \;\;\;\;\;\;-A\]

    \[4 \;\;\;\;\;\; -D \]

    \[2\;\;\;\;\;\;-B\]

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    18

    The figure below shows three point charges in a straight line, positively charged. If the total electric force acting on the second charge is zero, then the ratio \[\frac{𝑟_1}{𝑟_2}\] equals

    \[\frac{𝑟_1}{𝑟_2}=0.57 \;\;\;\;\;\; -C \]

    \[\frac{𝑟_1}{𝑟_2}= 0.81 \;\;\;\;\;\;-A\]

    \[\frac{𝑟_1}{𝑟_2}=1.41 \;\;\;\;\;\; -D \]

    \[\frac{𝑟_1}{𝑟_2}=1.22\;\;\;\;\;\;-B\]

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    19.

    One of the following charges could be the charge of an object Given that \[e=1.6 ×10^{-19}\;c\]

    \[9 ×10^{-19} \;\;c\;\;\;\;\;\;-C\]

    \[ 3 ×10^{-19} \;\;c\;\;\;\;\;\;-A\]

    \[4.5 ×10^{-19} \;\;c\;\;\;\;\;\;-D\]

    \[5.2 ×10^{-19} \;\;c\;\;\;\;\;\;-B\]

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    20

    An electroscope with its base connected to the ground had a negatively charged object brought near it without contact. One of the following figures shows what happens to the electroscope

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    21

    In the figure below, four charges are placed on the corners of a square
    as shown in the figure
    A proton is placed at the center of the square
    The direction of the net electric force acting on the proton is:

    \[\searrow \;\;\;\;\;\; -C \] Direction of q3

    \[\nearrow \;\;\;\;\;\;-A\] Direction of q1

    \[\swarrow \;\;\;\;\;\; -D \] Direction of q4

    \[\nwarrow \;\;\;\;\;\;-B\] Direction of q2

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    22

    A balloon was rubbed with a piece of wool, becoming negatively charged with a charge of
    2.4 × 10-18c
    Then the piece of wool
    \[q_e=1.6× 10^{-19} C\]

    Gained 15 electrons - C

    Lost 15 electrons - A

    Lost number of electrons - D
    \[2.4 × 10^{-18}\]

    Gained number of electrons - B
    \[2.4 × 10^{-18}\]

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    23

    A glass rod was rubbed with a piece of wool, becoming positively charged, then the glass rod

    Lost protons - C

    Gained electrons - A

    Gained protons - D

    Lost electrons - B

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    24

    By what factor does the electric force between two charges change
    if the distance between the charges is doubled
    while keeping other factors constant?

    \[F_2=2 F_1 \;\;\;\;\;\; -C \]

    \[F_2=0.5 F_1 \;\;\;\;\;\;-A\]

    \[F_2=2 F_1 \;\;\;\;\;\; -D\]

    \[F_2=0.25 F_1 \;\;\;\;\;\;-B\]

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    25

    Two different types of charges with magnitudes and distances as shown below

    \[q_1=2q\; c\;\;\;\;\; q_2=3q\; c\;\;\;\;\; r=0.1m \]

    The mutual force between the charges was \[Fe=0.6 N\], then the magnitude of each charge equals:

    \[q_1=2.22 ×10^{-7}\;c\;\;\;\;\; q_2=3.33 ×10^{-7}\;c\;\;\;\;\;\; -C \]

    \[q_1=6.66 ×10^{-7}\;c\;\;\;\;\; q_2=3.33 ×10^{-7}\;c\;\;\;\;\;\; \;\;\;\;\;\;-A\]

    \[q_1=1.11 ×10^{-7}\;c\;\;\;\;\; q_2=1.66 ×10^{-7}\;c\;\;\;\;\;\;\;\;\;\;\;\; -D\]

    \[q_1=3.33 ×10^{-7}\;c\;\;\;\;\; q_2=4.99 ×10^{-7}\;c\;\;\;\;\;\; \;\;\;\;\;\;-B\]

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    26

    Three charges in a straight line as shown in the figure Their magnitudes and distances are shown in the figure
    Calculate the electric force acting on the second charge

    \[ F=6.7\;\; N \;\;\;\;\;\; -C \]

    \[ F=1.3\;\; N \;\;\;\;\;\;-A\]

    \[ F=5.2\;\; N \;\;\;\;\;\; -D \]

    \[ F=2.7\;\; N \;\;\;\;\;\;-B\]

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    27

    A charged body with a charge of \[q=+1\;\;c\] Then the number of elementary charges in the body Knowing that the elementary charge equals \[e=1.602×10^{-19}\;\;\] Swimming fish

    \[ 𝑛=6.24 ×10^{18}\;\;\;\;\;\; -C \] proton

    \[ 𝑛=1.44 ×10^{20} \;\;\;\;\;\;-A\] proton

    \[ 𝑛=8.26 ×10^{21} \;\;\;\;\;\; -D \] proton

    \[ 𝑛=5.76 ×10^{19}\;\;\;\;\;\;-B\] proton

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    28

    An electroscope charged with a negative charge A negatively charged object was brought close
    to the electroscope without touching it, then the electroscope leaves

    Decreases then increases -C
    the divergence of the leaves

    The divergence of the leaves does not change -A

    Increases the divergence of the leaves-D

    Decreases the divergence of the leaves -B

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    29

    Electrostatic precipitator is used in

    Purifying factory gas emissions -C

    Car painting -A

    Receiving lightning strikes-D

    Laser printers -B

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    30

    An electroscope charged with a negative charge was touched by a conductor
    It was noticed that the electroscope leaves closed then reopened, this indicates that the conductor

    The conductor is neutral -C

    The conductor is negatively charged -A

    The conductor has variable charge -D

    The conductor is positively charged -B

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    31

    Three charges in a straight line as shown in the figure of the same type
    and their magnitudes are shown in the figure, then the direction and magnitude of the force acting on charge
    q2

    \[F_{net}=0.0\;\;\;\;\;\; -C \]

    \[F_{net}=\frac{K.q^2}{2r^2}\;\longrightarrow \;\;\;\;\;\;-A\] to the right

    \[F_{net}=\frac{K.q^2}{4r^2}\;longrightarrow \;\;\;\;\;\; -D \] to the right

    \[F_{net}=\frac{K.q^2}{2r^2}\;\leftarrow \;\;\;\;\;\;-B\] to the left

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    32

    A neutral electroscope Arrange correctly the steps
    of charging the electroscope without contact with a negative charge

    \[B\;\;\Rightarrow\;\; D\;\;\Rightarrow\;\; C\;\;\Rightarrow A\;\;\;\;\;\; -C \]

    \[D\;\;\Rightarrow\;\; B\;\;\Rightarrow\;\; C\;\;\Rightarrow A \;\;\;\;\;\;-A\]

    \[C\;\;\Rightarrow\;\;B\;\;\Rightarrow\;\; A\;\;\Rightarrow D\;\;\;\;\;\; -D \]

    \[B\;\;\Rightarrow\;\; C\;\;\Rightarrow\;\; D\;\;\Rightarrow A\;\;\;\;\;\;-B\]

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    Solve the Following Problems

    1

    A hydrogen atom contains one electron and one proton. The mass and charge of each are: \[m_e=9.1×10^{-31}\;kg\;\;\;\;\;m_p=1.67×10^{-27}\;kg\;\;\;\;\;q_e=-1.6×10^{-19}\;c\;\;\;\;\;q_p=+1.6×10^{-19}\;c\]

    Calculate the ratio between the electric force and the gravitational force between the electron and proton. Given: \[k=9×10^{9}\;\frac{N^2.m^2}{c^2} \;\;\;\;\;G=6.67×10^{-11}\;\frac{N.m^2}{Kg^2}\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\]
    Complete the following table showing similarities and differences between electric force and gravitational force
    Electric Force Gravitational Force \[\;\;\;\;\;\;\;\;\;\;\]
    \[1 - ................\] \[2 - .................\] \[1 - ................\] \[2 - .................\] Similarities
    \[1 - ................\] \[2 - .................\] \[1 - ................\] \[2 - .................\] Differences
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  • 2

    Two oil drops of the same type, where the first charge is four times the second.
    The charges are placed at a distance from each other of: \[r=0.4 \;\;m\] The first charge experiences a force to the right of: \[F_{21}=0.8 \;\;N\]

    Determine the magnitude and direction of the force acting on the second charge. \[.........................................\;\;\;\;\;....................................\] Calculate the magnitude of each charge. \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\]
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  • 3

    Three charges with magnitudes and types: \[q_1=-3\;\;𝜇𝑐\;\;\;\;\;\;q_2= +2 \;\;𝜇𝑐\;\;\;\;\;\;\;\;q_3= -4𝜇𝑐\] The distances between them: \[r_1=0.1 \;\;m\;\;\;\;\;\;r_2=0.2 \;\;m\] Placed in a straight line as shown in the figure. Calculate the electric force acting on \(q_3\) and determine its direction. \[k=9×10^9\;N.m^2/c^2\]

    \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\]
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  • 4

    Two oil drops of the same type, where the first charge is four times the second.
    The charges are placed at a distance from each other of: \[r=0.4 \;\;m\] The first charge experiences a force to the right of: \[F_{21}=0.8 \;\;N\]

    Calculate the magnitude of each charge. \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] If the distance between the charges increases to four times, what becomes the electric force? \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\] \[.........................................\;\;\;\;\;....................................\]
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  • 5

    The force acting on (q1) was calculated to be 5 Newtons, with its direction shown in the diagram.
    The force acting from q3 on q1 was 3 Newtons. Then the second charge's magnitude and type are:

    \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\] \[.....................................\;\;\;\;............................................\]
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