Free Printable AP C EM Electrostatics and Fields Questions

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AP C EM Electrostatics and Fields Questions

Total questions: 98

Worksheet time: 19hrs 4mins

Name

Class

Date

A hollow sphere has a charge of 9001 C distribution uniformly on its surface. Wow, that’s a lot of charge. Which graph below best shows the electric field due to the sphere as a function of r, the distance from the center of the sphere?

Three charges are arranged at the corners of an equilateral triangle as shown (lower left = -2Q, top = +Q, lower right = +2Q). What is the net electrostatic force on the top charge due to the other two chargers?

$\frac{2kQ^2}{L^2},\ right$

$\frac{2\sqrt{3}kQ^2}{L^2},\ right$

$\frac{3KQ^2}{L^2},\ left$

$\frac{2kQ^2}{L^2},\ left$

If the only force acting on electron is due to a uniform electric field, the electron moves with constant:

acceleration in a direction opposite to that of the field.

acceleration in the direction of the field.

acceleration in a direction perpendicular to that of the field.

speed in a direction opposite to that of the field.

Two point charges of Q1 = +8 C and Q2 = +8 C are situated as shown .At which labeled point above is the electric field strength the greatest?

Two metal spheres that are initially uncharged are mounted on insulating stands, as shown above. A negatively charged rubber rod is brought close to, but does not make contact with, sphere X. Sphere Y is then brought close to X on the side opposite to the rubber rod. Y is allowed to touch X and then is removed some distance away. The rubber rod is then moved far away from X and Y. What are the final charges on the spheres?

x - Zero Y - Zero

X - Negative Y - Negative

X - Positive Y - Negative

X - Negative Y - Positive

Suppose that an electron (charge -e and mass m) could orbit a proton (charge +e and mass M) in a circular orbit of constant radius R. Assuming that the proton is stationary and only the electrostatic force acts on the particles, which of the following gives an expression for the average speed of the electron?

$e\sqrt{\frac{k}{MR}}$

$\sqrt{\frac{ke}{mR}}$

$\frac{e}{m}\sqrt{\frac{k}{M}}$

$e\sqrt{\frac{k}{mR}}$

Three pith balls supported by insulating threads hang from a support. We know that ball X is positively charged. When ball X is brought near balls Y and Z without touching them, it attracts Y and repels Z. We can conclude that

Y has a negative charge.

Z has a negative charge.

Y is negatively charged or neutral (has no net charge.)

Z is neutral (has no net charge.)

In the diagram shown, sphere 2 remains at rest in the air below sphere 1, which is attached to insulating stand. Sphere is distance of d below sphere 1. The sphere have equal masses M, and opposite charges of +Q and –Q. Which the of following gives the magnitude of Q?

$2d\sqrt{\pi\epsilon_0Mg}$

$\sqrt{\frac{Mg}{4\pi\epsilon_0d}}$

$2\sqrt{\frac{\pi\epsilon_0Mg}{d}}$

$\frac{2}{d}\sqrt{2\pi\epsilon_0Mg}$

Which of the following is Japanese for "Gauss's Law?"

Sugoi

Watashi wa weaboo desu

Cruel Sun

Toyota

10.

A metal sphere with radius r1 has a total electric charge of magnitude q. An uncharged metal sphere with radius r2 (with r1 > r2) is then connected by a wire to the first sphere, as illustrated above. The separation of the spheres is much greater than the radius of either sphere. When equilibrium is reached, the spheres will have

charges on their surfaces of equal magnitude and the same sign

charges on their surfaces of equal magnitude and opposite sign

equal electric fields at their surfaces

equal capacitances

equal electric potentials

11.

A positive electric charge is moved at a constant speed between two locations in an electric field, with no work done by or against the field at any time during the motion. This situation can occur only if the

charge is moved in the direction of the field

charge is moved opposite to the direction of the field

charge is moved perpendicular to an equipotential line

charge is moved along an equipotential line

electric field is uniform

12.

A proton moving along the positive x-axis enters an electric field that is directed along the positive y-axis. What is the direction of the electric force acting on the proton after it enters the electric field?

along the negative z-axis

along the positive z-axis

along the negative y-axis

along the positive y-axis

The direction cannot be determined since the magnitude of the electric field is not known

13.

A capacitor is constructed of two identical conducting plates parallel to each other and separated by a distance d. The capacitor is charged to a potential difference of V0 by a battery, which is then disconnected.

A sheet of insulating plastic material is inserted between the plates without otherwise disturbing the system. What effect does this have on the capacitance? A

It causes the capacitance to increase

It causes the capacitance to decrease

None; the capacitance does not change

Nothing can be said about the effect without knowing the dielectric constant of the plastic

Nothing can be said about the effect without knowing the thickness of the sheet.

14.

Two small spheres are arranged along a line and carry charges of +4Q and –3Q, as shown in the figure above. The vertical lines are equally spaced.

At which of the labeled points does the electric field point toward the right with the smallest magnitude?

15.

A charge +𝑄 is inside a hollow region in an electrically neutral piece of solid metal, as shown above. The dashed line represents a Gaussian surface within the metal that completely encloses the hollow region.

At which of the three labeled points is the electric field equal to zero?

B is the answer

X only

Y only

X and Z only

Y and Z only

X, Y, and Z

16.

The conducting sphere in Figure 1 has a charge of −Q

and is electrically isolated so that there is no conducting path to or from the conducting object shown in Figure 2. The charges on the sphere are in equilibrium. The same charge −Q

is on the isolated conducting object. Which of the following correctly describes a change between the sphere in Figure 1 and the object in Figure 2?

The charge is no longer located entirely on the surface of the object.

The electric field inside the object is no longer zero everywhere

The electric potential is no longer the same at all points inside the object.

The electric field is no longer directed perpendicular to the surface at all points on the object

The magnitude of the electric field is no longer the same at all points on the surface

17.

If the only force acting on an electron is due to a uniform electric field, the electron moves with constant

acceleration in a direction opposite to that of the field

acceleration in the direction of the field

acceleration in a direction perpendicular to that of the field

speed in a direction opposite to that of the field

speed in the direction of the field

18.

A battery or batteries connected to two parallel plates produce the equipotential lines between the plates shown above.

The force on an electron located on the 0-volt potential line is

0 N

1 N, directed to the right

1 N, directed to the left

directed to the right, but its magnitude cannot be determined without knowing the the distance between the lines

directed to the left, but its magnitude cannot be determined without knowing the distance between the lines

19.

A battery or batteries connected to two parallel plates produce the equipotential lines between the plates shown above.

The force on an electron located on the 0-volt potential line is

Q₂ = 16Q₁

Q₂ = 4Q₁

Q₂ = Q₁

Q₂ = 0.25Q₁

20.

The above circuit is designed with an ideal battery and a capacitor. When the capacitor is fully charged, the charge on the capacitor plates has a magnitude Q. Which of the following is a correct hypothesis for what will happen to the capacitor when a material of dielectric constant κ is inserted between the capacitor plates?

The charge stored on the capacitor will increase

The charge stored on the capacitor will decrease

The potential difference across the plates of the capacitor will increase

The potential difference across the plate of the capacitor will decrease

The energy stored on the capacitor will remain the same

21.

A capacitor with unknown capacitance is used for an experiment. Students connect the capacitor to a battery, allow the capacitor to become fully charged, and then isolate the capacitor. The students then insert dielectrics with different dielectric constants κ, one at a time, between the plates of the capacitor and measure the potential difference V across the capacitor. Which of the following hypotheses can be tested with this data?

For a given the potential difference V, the charge stored in a capacitor will increase as the dielectric constant of the material between the plates increases.

For a given the potential difference V, the energy stored in a capacitor will increase as the dielectric constant of the material between the plates increases.

For a given the potential difference V, the charge stored in a capacitor will increase as the capacitance of the capacitor increases.

For a given stored charge, the breakdown voltage of a capacitor will decrease as the dielectric constant of the material between the plates increases.

For a given stored charge, the potential difference across the plates of a capacitor will increase as the dielectric constant of the material between the plates increases.

22.

If a dielectric is inserted between the plates of a capacitor while the capacitor maintains its connection to a constant voltage source, which of the following is true?

The capacitance of the capacitor is unchanged

The charge on the capacitor plates increases

The potential difference across the capacitor increases

The electric field between the capacitor plates increases

The electric field between the capacitor plates decreases

23.

A hollow conducting sphere is surrounded by a larger concentric spherical conducting shell, as shown above. The inner sphere has a net charge of –Q, and the outer sphere has a net charge of +3Q.

What is the net charge on the outer surface of the spherical shell?

+2Q

+3Q

+4Q

24.

A solid, conducting sphere with zero net charge is placed into a uniform electric field. Which of the following happens immediately after the sphere is placed in the field?

An electric field is momentarily set up on the conducting sphere, redistributing the charges until the surface again becomes equipotential.

A nonuniform electric field is permanently set up inside the conducting sphere, pushing charges to the surface of the sphere.

The external electric field redistributes the charges evenly inside the sphere, resulting in the electric field becoming zero inside the sphere.

The electric field aligns the charges inside the sphere in such a way that they create a uniform electric field inside the sphere that is equivalent to the external electric field.

The electric field does not interact with the sphere since it has zero net charge.

25.

When two metal objects, X and Y, are connected to each other by a conducting wire, object X gains electrons. From this information, it can be inferred that before the connection was made, object X, compared with object Y, must have had

less capacitance

more electrical potential energy

a smaller dielectric constant

a greater electric charge

a greater electric potential

26.

A uniform electric field exists in which of the following regions?

I. Around an infinite line of uniform linear charge density

II. On either side of an infinite thin sheet of uniform charge density

III. Between the spherical shells of a charged spherical capacitor

I only

II only

III only

II and III only

I, II, and III

27.

The figure above shows an object in the shape of an arc. The object has a uniform charge distribution. The three labeled vectors show possible directions of the electric field at point P

at the center of the arc. Which of the following options indicates the vector that shows the correct direction of the electric field and provides a correct physical explanation for this direction?

Vector A: the charge distribution is positive, and there are more charges to the left of point P

Vector A: the charge distribution is negative, and there are more charges to the left of point P

Vector B: the charge distribution is positive, and there are more charges above point P

Vector B: the charge distribution is negative, and there are more charges above point P

Vector C: the charge distribution is positive, and there are no charges below and to the left of point P

to cancel the field from charges above and to the right of point P

28.

Which of the following must be true for a Gaussian surface through which the net flux is zero?

I. There are no charges inside the surface.

II. The net charge enclosed by the surface is zero.

III. The electric field is zero everywhere on the surface.

I only

II only

III only

I and II only

I, II, and III

29.

The graph above shows the electric field E as a function of x, where x is the distance from a given charge arrangement in an xyz-coordinate system. Which of the following could be the arrangement?

A positive point charge at x = 0

Positive charges uniformly distributed inside a sphere with x = 0 on the sphere’s surface

Positive charges uniformly distributed on the surface of a sphere with x = 0 on the sphere’s surface

Positive charges uniformly distributed along the y-axis

Positive charges uniformly distributed over the yz-plane

30.

Reorder the following to show the progression of steps in Charging by Induction.

31.

A solid conducting sphere is given a positive charge Q. How is the charge Q distributed in or on the sphere?

It is concentrated at the center of the sphere.

It is uniformly distributed throughout the sphere.

Its density decreases radially outward from the center.

Its density increases radially outward from the center.

It is uniformly distributed on the surface of the sphere only

32.

The electrostatic interaction between three objects is as shown. Which of the following is a possible combination of the correct charges on each? Choose all answers.

A: Positive

B: Positive

C: Positive

A: Neutral

B: Positive

C: Positive

A: Negative

B: Positive

C: Negative

A: Positive

B: Neutral

C: Positive

A: Neutral

B: Negative

C: Negative

33.

During a physics lab, a plastic strip was rubbed with cotton and became positively charged. The correct explanation for why the plastic strip becomes positively charged is that ...

the plastic strip acquired extra protons from the cotton.

the plastic strip acquired extra protons from the charging process

protons were created as the result of the charging process

the plastic strip lost electrons to the cotton during the charging process

34.

Insulators are different than conductors in that insulators ____.

do not contain electrons or protons

do not contain any charge

have a weaker affinity for electrons

do not allow charge to freely move

35.

Consider the conduction charging shown.

Electrons move from the insulating stand into the sphere.

Protons move from the bar into the sphere.

Electrons move from the charged metal bar into the sphere.

Protons move from the sphere into the negatively charged bar.

36.

A glass rod becomes positively charged when it is rubbed with silk. This net positive charge accumulates because the glass rod

gains electrons

loses electrons

gains protons

loses protons

37.

When a plastic rod is rubbed with wool, the wool acquires a positive charge because

protons are transferred from the wool to the rod

protons are transferred from the rod to the wool

electrons are transferred from the rod to the wool

electrons are transferred from the wool to the rod

38.

Electrostatic force F exists between two point charges. If the both charges are doubled, the force between the charges will be

F/4

39.

Like charges __________ and opposite charges ________.

attract, repel

attract, attract

repel, attract

repel, repel

40.

The charge of an electron is

positive.

negative.

Electrons have no charge

41.

When a balloon is rubbed on clothes it acquires a charge by ___________

Induction

reduction

friction

concuction

42.

The law of conservation of charge states that...

all atoms have more protons than electrons

only protons can be rubbed off of an atom

charge cannot be created or destroyed

charge cannot be transferred

43.

What is the name of the particle that is being transferred?

Proton

Neutron

Electron

Positron

44.

The number of protons and electrons is equal

Positively charged

Negatively charged

Neutral

45.

Coulomb's Law says that the force between any two charges depends on

(choose all that apply)

directly on the magnitude of the charges.

Inverse of the square of the distance.

the force is always the same no matter the charge value

There is no such thing as Coulomb's Law

46.

Electrical conductors...

Prevent electrons from flowing through them

Allow protons to flow through them

Allow electrons to flow through them

Allow both protons and electrons to flow through them

47.

Based on the diagram shown, which way will Q₂get pushed by the other charges?

Right

Up and Right

Down and Left

Left

48.

2 charges feel a force of 40 N. if we cut the distance between them in half, what is the new force they feel

160

49.

Two charges (-80 μC and +100 μC) are arranged on the x-axis as shown. What is the net force on the +100 μC charge?

2.9×10⁴ N left

2.9×10⁴ N right

7.2×10⁴ N left

8.0×10⁴ N left

8.0×10⁴N right

50.

Three equal charges are at three of the corners of a square of side d. A fourth charge of equal magnitude is at the center of the square as shown in Figure 19-1. Which of the arrows shown represents the net force acting on the charge at the center of the square?

51.

Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in Figure 19-2. Which of the arrows shown represents the net force acting on the center charge?

52.

Four point charges of equal magnitude and varying signs are arranged on corners of the square of side d as shown in Figure 19-6. Which of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

53.

Four point charges of equal magnitude and sign are arranged on the corners of the square of side d as shown in Figure 19-7. Which of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

54.

Four point charges of varying magnitude and sign are arranged on the corners of the square of side d as shown in Figure 19-8. Which of the arrows shown represents the net force acting on the point charge with a charge +Q?

55.

Two point charges, initially 2.0 cm apart, experience a 1.0-N force. If they are moved to a new separation of 8.0 cm, what is the electric force between them?

1/2 N

4 N

16 N

1/16 N

56.

Two point charges of magnitude + 7.00 μC and - 9.00 μC are placed along the x-axis at x = 0 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net force because of the other two charges?

0.200 m

2.99 m

- 0.187 m

- 2.99 m

57.

Four point charges of equal magnitude and sign are arranged on three of the corners of the square of side d as shown in Figure 19-5. Which of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

58.

A balloon holding a charge of -12.0nC is placed with its center 45.0cm from the center of a Van de Graff generator with a charge of +90.0μC. What is the magnitude of the electric force on the balloon?

0.022 N

0.040 N

0.048 N

0.053 N

0.097 N

59.

Two pith balls, each with mass 10^-3 kg are suspended by silk threads each 0.5 m long. They are charged equally and repel each other to a distance of 0.2 m. What is the charge on each ball?

2.357 x 10^-6 C

3.75 x10^-6 C

4.7 x10^-6 C

1.6 x10^-6 C

60.

Two pith balls are hanging as shown. The charge of the unlabeled pith ball on the right is most likely?

positive

negative

neutral and not polarized

neutral, but polarized

61.

Two balloons are electrically charged. One balloon has a positive charge, and the other has a negative charge. Which diagram shows what would most likely happen when the two balloons are brought near each other?

62.

What happens to the field strength as the distance between two charged objects decreases?

the strength stays the same

the strength increases

the strength decreases

the strength fluctuates between positive and negative

63.

A charged sphere is suspended from a string in a uniform electric field directed horizontally. There is an electric force on the sphere to the right and a gravitational force pointing downward. As a result, the sphere hangs at an angle θ from the vertical. Combinations of sphere mass and electric charge are listed in the chart for four cases, all in the same uniform electric field.

Rank the angle θ that the string forms with the vertical for these different spheres. From greatest to least.

64.

A positive charge placed in an electric field experiences a force in the direction of the field.

True

False

65.

A charged particle traveling along the +x axis enters an electric field directed vertically upward along the +y-axis. If the charged particle experiences a force downward because of this field, what is the sign of the charge on this particle?

It is negative.

It is positive.

It is neutral.

None of the other choices is correct.

66.

Three equal point charges are placed at the corners of a square of side d as shown in Figure 19-9. Which of the arrows shown represents the direction of the net electric field at the center of the square?

67.

Three equal point charges are placed at the corners of a square of side d as shown in Figure 19-9. What is the correct expression of the net electric field at the center of the square?

$E=k\left(\frac{\left(qQ_0\right)}{d\sqrt[]{2}}\right)$

$E=\frac{k2q}{d^2}$

$E=\frac{kq}{2d^2}$

68.

Three equal point charges of varying signs are placed on the corners of a square of side d as shown in Figure 19-10. Which of the arrows shown represents the direction of the net electric field at the center of the square?

69.

Three equal point charges are placed at three of the corners of a square of side d as shown in Figure 19-12. Which of the arrows shown represents the direction of the net electric field at the vacant corner of the square?

70.

A proton is placed in an electric field of intensity 700 N/C. What is the magnitude and direction of the acceleration of this proton due to this field?

6.71 × 10^20 m/s2 opposite to the electric field

6.71 × 10^9 m/s2 opposite to the electric field

6.71 × 10^10 m/s2 in the direction of the electric field

67.1 × 10^10 m/s2 in the direction of the electric field

71.

A styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C pointing downward. What charge must be placed on the ball for it to be suspended?

-16.0 nC

-18.0 nC

-57.2 nC

-125 nC

-196 nC

72.

An electron is released from rest in a uniform electric field of magnitude E=100N/C and gains speed. After traveling a distance of 1 meter, how fast is it moving?

4.77 x 10^6 m/s

3 x 10^8 m/s

5.93 x 10^6 m/s

9.24 x 10^7 m/s

73.

Where can an electric field be found?

below a force field

in a gravitational field

in the space surrounding a charged object

outside of a magnetic field

74.

Electrical field lines of a negatively charged object flow _______________.

Inwards

Outwards

Clockwise

Counter-Clockwise

75.

Which statement best describes the electric fields in the image?

The charges are neutral.

Both charges are negative, so the field lines are alike.

The field lines move toward a positive charge and away from a negative charge.

The field lines move away from a positive charge and toward a negative charge.

76.

TRUE or FALSE: The electric field lines for a positive charge is always directed away from the charge.

True

False

77.

Q_Aand Q_Bare two charges creating an electric field. Based on the electric field lines, we can conclude that _____________.

Q_Aand Q_Bare both positive

Q_Aand Q_Bare both negative

Q_Ais positive and Q_Bis negative

Q_Ais negative and Q_Bis positive

78.

What does it mean when the electric field lines are close together?

the field is positive

the field is negative

The field is strong

the field is weak

79.

At which point is the electric field the strongest

80.

What is the magnitude of the electric field at a point where proton experiences an electrostatic force of 2.3 x 10^-25 N?

1.44 x 10^-6 N/C

3.68 x 10⁶ N/C

1.44 x 10⁴⁴ N/C

3.68 x 10^-44 N/C

81.

An electrostatic force of 2 X 10²N is exerted on a charge of 4 Coulomb at point P in an electric field. What is the magnitude of the electric field intensity at P?

8 X 10² N/C

5 N/C

2 X 10^-2 N/C

50 N/C

82.

A point charge Q has a distance of 2 meters from another charge with an electric field of 20 N/C. How much force does a 5 Coulomb charge feel?

4 N

100 N

40 N

10 N

83.

What quantity remains the same everywhere between two parallel plates?

Electric Field

Electric Potential

Electric Potential Energy

Speed

84.

The electric field inside a spherical shell of uniform surface charge density is

Constant, less than zero

Directly proportional to the distance from the centre

zero

None of the above

85.

ABC is an equilateral triangle. Charges +q are placed at each corner. The electric intensity at O will be

$\frac{1}{4\pi\in_0}\left(\frac{q}{r^2}\right)$

$\frac{1}{4\pi\in_0}\left(\frac{q}{r^{ }}\right)$

$\frac{1}{4\pi\in_0}\left(\frac{3q}{r^2}\right)$

zero

86.

The distance between the two charges 25 $\mu$ C and 36C is 11 cm At what point on the line joining the two, the intensity will be zero

At a distance of 5cm from 25 microC

At a distance of 5cm from 36 microC

At a distance of 10cm from 25 microC

At a distance of 11 cm from 36 microC

87.

In what direction will a negatively charged particle accelerate in an electric field?

In the same direction as field

In opposite direction as field

Perpendicular to field

Impossible to tell

88.

Two point charges, +Q and -Q, are placed at a distance d from each other. What is the electric field at the midpoint between the charges?

Zero

2kQ/d^2

kQ/d^2

-kQ/d^2

89.

What is the electric field inside a uniformly charged spherical shell?

Zero

Directly proportional to the distance from the center

Constant, less than zero

None of the above

90.

How can a neutral object become charged?

by being dipped in water

by being stuck to the desk with tape

by allowing gravity to work on it

by having electrons added or removed

91.

Based on the arrangement of the electric field lines in the diagram, what are the charges?

both charges are the same

the charges are opposite

they are neutral; no charge

92.

Which statement best describes the electric fields in the image?

The charges are neutral.

Both charges are negative, so the field lines are alike.

The field lines move toward a positive charge and away from a negative charge.

The field lines move away from a positive charge and toward a negative charge.

93.

Which diagram correctly shows the field lines between two like charges?

Both

Neither

94.

Two small spheres are arranged along a line and carry charges of +4Q and –3Q, as shown in the figure above. The vertical lines are equally spaced.

At which of the labeled points does the electric field point toward the right with the smallest magnitude?

95.