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Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field
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Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Dec 15, 2015

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Noelia Hurry
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Page 1: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Chapter 17

Electric Charge and Electric Field

Chapter 17

Electric Charge and Electric Field

Page 2: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Units of Chapter 17

• Static Electricity; Electric Charge and Its Conservation

• Electric Charge in the Atom

• Insulators and Conductors

• Coulomb’s Law

• Solving Problems Involving Coulomb’s Law and Vectors

• The Electric Field

Page 3: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Units of Chapter 17

• Field Lines

• Electric Fields and Conductors

Page 4: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.1 Static Electricity; Electric Charge and Its Conservation

Objects can be charged by rubbing

Page 5: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.1 Static Electricity; Electric Charge and Its

Conservation

Charge comes in two types, positive and negative; like charges repel and opposite charges attract

Page 6: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.1 Static Electricity; Electric Charge and Its Conservation

Electric charge is conserved – the arithmetic sum of the total charge cannot change in any interaction.

Page 7: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.1 Electric Charge in the Atom

Atom:

Nucleus (small, massive, positive charge)

Electron cloud (large, very low density, negative charge)

Q is used for charge; the unit is coulomb (c)

Page 8: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.1 Coulomb’s Law

Charge on the electron:

Electric charge is quantized in units of the electron charge.

Page 9: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.1 Electric Charge in the Atom

Atom is electrically neutral.

Rubbing charges objects by moving electrons from one to the other.

Page 10: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.3 Insulators and Conductors

Conductor:

Charge flows freely

Metals

Insulator:

Almost no charge flows

Most other materials

Some materials are semiconductors.

Page 11: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.2 Induced Charge

Metal objects can be charged by contact (conduction):

Page 12: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.2 Induced Charge - Induction

They can also be charged by induction:

Page 13: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.2 Induced Charge

Nonconductors won’t become charged by conduction or induction, but will experience charge separation:

Page 14: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.3 Coulomb’s Law

Experiment shows that the electric force between two charges is proportional to the product of the charges and inversely proportional to the distance between them.

Page 15: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.3 Coulomb’s Law

Coulomb’s law:

(17-2)

This equation gives the magnitude of the force.

k is a constant = 8.988x109 Nm2/C

Q is the charge in coulomb

r is the distance between the point charges

Page 16: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.3 Coulomb’s LawThe force is along the line connecting the

charges, and is attractive if the charges are opposite, and repulsive if they are the same.

Page 17: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.3 Coulomb’s Law

Unit of charge: coulomb, C

The proportionality constant in Coulomb’s law is then:

Charges produced by rubbing are typically around a microcoulomb:

Page 18: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.4 The Electric Field

The electric field is the force on a small charge, divided by the charge:

(17-3)

Page 19: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.4 The Electric Field

For a point charge:

(17-4a)

(17-4b)

Page 20: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Example

• Calculate the electric field E due to a point charge of nC at a distance of 5.0mm from the charge.

Page 21: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Solution

• Q = 2.00 x 10-9 C• R = 5.00 x 10-3 m• E = k Q = (9.0 x 109Nm2/C2) x (2.00x10-9C)

r2 (5.00x10-3m)

= 7.2 x 105 N/C

Page 22: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.4 Coulomb’s LawCoulomb’s law strictly applies only to point charges.

Superposition: for multiple point charges, the forces on each charge from every other charge can be calculated and then added as vectors.

Page 23: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.4 Solving Problems Involving Coulomb’s Law and Vectors

The net force on a charge is the vector sum of all the forces acting on it.

Page 24: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 The Electric Field

Force on a point charge in an electric field:

(17-3)

F is the electrostatic force exerted on a positive test charge q and E is the electric field

Superposition principle for electric fields:

Page 25: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 The Electric Field

Problem solving in electrostatics: electric forces and electric fields

1. Draw a diagram; show all charges, with signs, and electric fields and forces with directions

2. Calculate forces using Coulomb’s law

3. Add forces vectorially to get result

Page 26: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 Field Lines

The electric field can be represented by field lines. These lines start on a positive charge and end on a negative charge.

Page 27: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 Field Lines

The number of field lines starting (ending) on a positive (negative) charge is proportional to the magnitude of the charge.

The electric field is stronger where the field lines are closer together.

Page 28: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 Field Lines

Electric dipole: two equal charges, opposite in sign:

Page 29: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Electric field lines

Page 30: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 Field Lines

The electric field between two closely spaced, oppositely charged parallel plates is constant.

Page 31: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.5 Field Lines

Summary of field lines:

1. Field lines indicate the direction of the field; the field is tangent to the line.

2. The magnitude of the field is proportional to the density of the lines.

3. Field lines start on positive charges and end on negative charges; the number is proportional to the magnitude of the charge.

Page 32: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.7 Photocopy Machines and Computer Printers Use Electrostatics

Photocopy machine:

• drum is charged positively

• image is focused on drum

• only black areas stay charged and therefore attract toner particles

• image is transferred to paper and sealed by heat

Page 33: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.7 Photocopy Machines and Computer Printers Use Electrostatics

Page 34: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

17.7 Photocopy Machines and Computer Printers Use Electrostatics

Laser printer is similar, except a computer controls the laser intensity to form the image on the drum

Page 35: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

• Two kinds of electric charge – positive and negative

• Charge is conserved

• Charge on electron:

• Conductors: electrons free to move

• Insulators: nonconductors

Summary of Chapter 17

Page 36: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Summary of Chapter 17

• Charge is quantized in units of e

• Objects can be charged by conduction or induction

• Coulomb’s law:

• Electric field is force per unit charge:

Page 37: Chapter 17 Electric Charge and Electric Field Chapter 17 Electric Charge and Electric Field.

Summary of Chapter 17

• Electric field of a point charge:

• Electric field can be represented by electric field lines