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20Electric Fields and Forces

Slide 20-2

Electric Charges and Forces, Part I

Slide 20-12

Electric Charges and Forces, Part II

Slide 20-13

Electric Charges and Forces, Part III

Slide 20-14

- Charges on an insulator do not move.
- Charges on a conductor adjust until there is no net force on any charge.

We call this electrostatic equilibrium.

Slide 20-15

Slide 20-16

Electric Charges and Forces, Part IV

Slide 20-17

Slide 20-18

Slide 20-19

Slide 20-20

- Two spheres are touching each other. A charged rod is brought near. The spheres are then separated, and the rod is taken away. In the first case, the spheres are aligned with the rod, in the second case, they are perpendicular. After the charged rod is removed, which of the spheres is:
- i) Positive
- ii) Negative
- iii) Neutral

Slide 20-21

If a charged plastic rod is brought near an uncharged metal rod on an insulating stand, an uncharged metal ball near the other end of the metal rod is attracted to this end of the rod. Explain the motions of charges that give rise to this force.

Describe a procedure by which you could give two identical metal spheres exactly equal charges.

Describe a procedure by which you could give two identical metal spheres charges of opposite sign but exactly equal magnitude.

Slide 20-22

Slide 20-23

A small, positive charge is placed at the black dot.

In which case is the force on the small, positive charge the largest?

Slide 20-24

A small, positive charge is placed at the black dot.

In which case is the force on the small, positive charge the largest?

C

Slide 20-25

A small, positive charge is placed at the black dot.

In which case is the force on the small, positive charge the smallest?

Slide 20-26

A small, positive charge is placed at the black dot.

In which case is the force on the small, positive charge the smallest?

D

Slide 20-27

- All charges in the diagrams below are equal magnitude. In each case, a small positive charge is placed at the blank dot. In which cases is the force on this charge:
- to the right?
- to the left?
- zero?

Slide 20-28

All charges in the diagrams below are of equal magnitude. In each case, a small, positive charge is placed at the black dot.In which case is the force on the small, positive charge the largest?

Slide 20-29

All charges in the diagrams below are of equal magnitude. In each case, a small, positive charge is placed at the black dot.In which case is the force on the small, positive charge the largest?

C

Slide 20-30

All charges in the diagrams below are of equal magnitude. In each case, a small, positive charge is placed at the black dot.In which case is the force on the small, positive charge the smallest?

Slide 20-31

All charges in the diagrams below are of equal magnitude. In each case, a small, positive charge is placed at the black dot.In which case is the force on the small, positive charge the smallest?

D

Slide 20-32

Two 0.10 g honeybees each acquire a charge of +23 pC as they fly back to their hive. As they approach the hive entrance, they are 1.0 cm apart. What is the magnitude of the repulsive force between the two bees? How does this force compare with their weight?

Slide 20-33

Slide 20-34

The Electric Field of a Point Charge

Slide 20-35

Positive charges create an electric field in the space around them.In which case is the field at the black dot the smallest?

Slide 20-36

Positive charges create an electric field in the space around them.In which case is the field at the black dot the smallest?

D

Slide 20-37

Positive charges create an electric field in the space around themIn which case is the field at the black dot the largest?

Slide 20-38

Positive charges create an electric field in the space around themIn which case is the field at the black dot the largest?

C

Slide 20-39

- All charges in the diagram below are of equal magnitude. In each of the four cases, two charges lie along a line, and we consider the electric field due to these two charges at a point along this line represented by the black dot. In which of the cases is the field:
- to the right?
- to the left?
- zero?

Slide 20-40

All charges in the diagram below are of equal magnitude. In each of the four cases below, two charges lie along a line, and we consider the electric field due to these two charges at a point along this line represented by the black dot. In which case is the magnitude of the field at the black dot the largest?

Slide 20-41

All charges in the diagram below are of equal magnitude. In each of the four cases below, two charges lie along a line, and we consider the electric field due to these two charges at a point along this line represented by the black dot. In which case is the magnitude of the field at the black dot the largest?

A

Slide 20-42

All charges in the diagram below are of equal magnitude. In each of the four cases below, two charges lie along a line, and we consider the electric field due to these two charges at a point along this line represented by the black dot. In which case is the magnitude of the field at the black dot the smallest?

Slide 20-43

All charges in the diagram below are of equal magnitude. In each of the four cases below, two charges lie along a line, and we consider the electric field due to these two charges at a point along this line represented by the black dot. In which case is the magnitude of the field at the black dot the smallest?

D

Slide 20-44

Dipole and Uniform Electric Fields

Slide 20-45

- A set of electric field lines is directed as below. At which of the noted points is the magnitude of the field the greatest?

Slide 20-46

- A set of electric field lines is directed as below. At which of the noted points is the magnitude of the field the greatest?

A

Slide 20-47

A set of electric field lines is directed as below. At which of the noted points is the magnitude of the field the smallest?

Slide 20-48

A set of electric field lines is directed as below. At which of the noted points is the magnitude of the field the smallest?

D

Slide 20-49

Slide 20-50

Two parallel plates have charges of equal magnitude but opposite sign. What change could be made to increase the field strength between the plates?

Increase the magnitude of the charge on both plates

Decrease the magnitude of the charge on both plates

Increase the distance between the plates

Decrease the distance between the plates

Increase the area of the plates (while keeping the magnitude of the charges the same)

Slide 20-51

Two parallel plates have charges of equal magnitude but opposite sign. What change could be made to increase the field strength between the plates?

Increase the magnitude of the charge on both plates

Decrease the magnitude of the charge on both plates

Increase the distance between the plates

Decrease the distance between the plates

Increase the area of the plates (while keeping the magnitude of the charges the same)

Slide 20-52

Two parallel plates have charges of equal magnitude but opposite sign. What change could be made to decrease the field strength between the plates?

Increase the magnitude of the charge on both plates

Decrease the magnitude of the charge on both plates

Increase the distance between the plates

Decrease the distance between the plates

Decrease the area of the plates (while keeping the magnitude of the charges the same)

Slide 20-53

Two parallel plates have charges of equal magnitude but opposite sign. What change could be made to decrease the field strength between the plates?

Increase the magnitude of the charge on both plates

Decrease the magnitude of the charge on both plates

Increase the distance between the plates

Decrease the distance between the plates

Decrease the area of the plates (while keeping the magnitude of the charges the same)

Slide 20-54

Conductors and Electric Fields

Slide 20-55

- A dipole is held motionless in a uniform electric field. For the situation below, when the dipole is released, which of the following describes the subsequent motion?
- The dipole moves to the right.
- The dipole moves to the left.
- The dipole rotates clockwise.
- The dipole rotates counterclockwise.
- The dipole remains motionless.

Slide 20-57

- A dipole is held motionless in a uniform electric field. For the situation below, when the dipole is released, which of the following describes the subsequent motion?
- The dipole moves to the right.
- The dipole moves to the left.
- The dipole rotates clockwise.
- The dipole rotates counterclockwise.
- The dipole remains motionless.

Slide 20-58

- A dipole is held motionless in a uniform electric field. For the situation below, when the dipole is released, which of the following describes the subsequent motion?
- The dipole moves to the right.
- The dipole moves to the left.
- The dipole rotates clockwise.
- The dipole rotates counterclockwise.
- The dipole remains motionless.

Slide 20-59

- The dipole moves to the right.
- The dipole moves to the left.
- The dipole rotates clockwise.
- The dipole rotates counterclockwise.
- The dipole remains motionless.

Slide 20-60

- The dipole moves to the right.
- The dipole moves to the left.
- The dipole rotates clockwise.
- The dipole rotates counterclockwise.
- The dipole remains motionless.

Slide 20-61

- The dipole moves to the right.
- The dipole moves to the left.
- The dipole rotates clockwise.
- The dipole rotates counterclockwise.
- The dipole remains motionless.

Slide 20-62

- A housefly walking across a clean surface can accumulate a significant positive or negative charge. In one experiment, the largest positive charge observed was 73 pC. A typical housefly has a mass of 12 mg.
- Explain how a housefly could accumulate an electric charge by walking across a surface.
- What magnitude and direction electric field would be necessary to “levitate” a housefly with a maximum charge? Could such a field exist in air?

Slide 20-63

Slide 20-64

A small sphere is suspended from a string in a uniform electric field. Several different cases of sphere mass and sphere charge are presented in the following table. In which case is the angle at which the sphere hangs the largest?

Sphere mass (g) Sphere charge (nC)

2.0 4.0

3.0 4.0

2.0 6.0

3.0 8.0

E. 4.0 9.0

Slide 20-65

A small sphere is suspended from a string in a uniform electric field. Several different cases of sphere mass and sphere charge are presented in the following table. In which case is the angle at which the sphere hangs the largest?

Sphere mass (g) Sphere charge (nC)

2.0 4.0

3.0 4.0

2.0 6.0

3.0 8.0

E. 4.0 9.0

Slide 20-66

A small sphere is suspended from a string in a uniform electric field. Several different cases of sphere mass and sphere charge are presented in the following table. In which case is the angle at which the sphere hangs the smallest?

Sphere mass (g) Sphere charge (nC)

2.0 4.0

3.0 4.0

2.0 6.0

3.0 8.0

E. 4.0 9.0

Slide 20-67

A small sphere is suspended from a string in a uniform electric field. Several different cases of sphere mass and sphere charge are presented in the following table. In which case is the angle at which the sphere hangs the smallest?

Sphere mass (g) Sphere charge (nC)

2.0 4.0

3.0 4.0

2.0 6.0

3.0 8.0

E. 4.0 9.0

Slide 20-68

- A positively charged particle is motionless in the center of a capacitor. Describe the subsequent motion of the charged particle.

Slide 20-69

- Determine the magnitude and the direction of the electric field at point A.

- Determine the individual forces and the net force on charge B for each of the following cases.

Slide 20-70

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