chapter 18 electric forces and electric fields. 18.1 the origin of electricity the electrical nature...

24
Chapter 18 Electric Forces and Electric Fields

Upload: gary-johnson

Post on 01-Jan-2016

214 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

Chapter 18

Electric Forces and Electric Fields

Page 2: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.1 The Origin of Electricity

The electrical nature of matter is inherentin atomic structure.

kg10673.1 27pm

kg10675.1 27nm

kg1011.9 31em

C1060.1 19e

coulombs

Page 3: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.1 The Origin of Electricity

In nature, atoms are normallyfound with equal numbers of protonsand electrons, so they are electricallyneutral.

By adding or removing electronsfrom matter it will acquire a netelectric charge with magnitude equalto e times the number of electronsadded or removed, N.

Neq

Page 4: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.2 Charged Objects and the Electric Force

LAW OF CONSERVATION OF ELECTRIC CHARGE

During any process, the net electric charge of an isolated system remainsconstant (is conserved).

Page 5: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.2 Charged Objects and the Electric Force

Like charges repel and unlike charges attract each other.

Page 6: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.3 Conductors and Insulators

Not only can electric charge exist on an object, but it can also movethrough and object.

Substances that readily conduct electric charge are called electricalconductors.

Materials that conduct electric charge poorly are called electricalinsulators.

Page 7: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.5 Coulomb’s Law

COULOMB’S LAW

The magnitude of the electrostatic force exerted by one point chargeon another point charge is directly proportional to the magnitude of the charges and inversely proportional to the square of the distance betweenthem.

221

r

qqkF

229 CmN1099.841 ok

2212 mNC1085.8

Page 8: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.5 Coulomb’s Law

Example 4 Three Charges on a Line

Determine the magnitude and direction of the net force on q1.

Page 9: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.5 Coulomb’s Law

N7.2m20.0

C100.4C100.3CmN1099.82

66229

221

12

r

qqkF

N4.8m15.0

C100.7C100.3CmN1099.82

66229

231

13

r

qqkF

5.7NN4.8N7.21312 FFF

Page 10: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.6 The Electric Field

DEFINITION OF ELECRIC FIELD

The electric field that exists at a point is the electrostatic force experiencedby a small test charge placed at that point divided by the charge itself:

oq

FE

SI Units of Electric Field: newton per coulomb (N/C)

Page 11: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.6 The Electric Field

Electric fields from different sourcesadd as vectors.

Page 12: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.6 The Electric Field

Example 10 The Electric Field of a Point Charge

The isolated point charge of q=+15μC isin a vacuum. The test charge is 0.20m to the right and has a charge qo=+0.80μC.

Determine the electric field at point P.

oq

FE

2

21

r

qqkF

Page 13: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.6 The Electric Field

N7.2m20.0

C1080.0C1015CmN1099.82

66229

2

r

qqkF o

right. the tois,which

F, force theasdirection

same in thepointsEfieldelectricThe

CN104.3C100.80

N 7.2 66-

oq

FE

Page 14: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.6 The Electric Field

2r

qkE

The electric field does not depend on the test charge.

o

o

o qr

qqk

q

FE

12

The electric field produced by apoint charge q:

Page 15: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.6 The Electric Field

THE PARALLEL PLATE CAPACITOR

Electric field produced by a parallel platecapacitor

ooA

qE

spacefreeoftypermittivi

mNC1085.8 2212

Charge per unit area (q/A) - charge density

Page 16: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.7 Electric Field Lines

Electric field lines or lines of force provide a map of the electric fieldin the space surrounding electric charges.

Page 17: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.7 Electric Field Lines

Electric field lines are always directed away from positive charges andtoward negative charges.

Page 18: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.7 Electric Field Lines

Electric field lines always begin on a positive chargeand end on a negative charge and do not stop in midspace.

Page 19: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.7 Electric Field Lines

The number of lines leaving a positive charge or entering a negative charge is proportional to the magnitude of the charge.

Page 20: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.7 Electric Field Lines

Page 21: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.9 Gauss’ Law

22 4 rqrkqE o

oAqE

o

qEA

EAE flux, Electric

isThat area. by the multiplied area surface

given a through passes that field electric ofamount the-flux electric

Page 22: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.9 Gauss’ Law

AEE

cos

normal. theand field electric the

between angle theis and

area, surface theand field

electric theofcomponent the

ofproduct theis area

surface ofportion

small athrough

flux electric The

Page 23: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

18.9 Gauss’ Law

GAUSS’ LAW

The electric flux through a Gaussiansurface is equal to the net charge enclosed in that surface divided bythe permittivity of free space:

o

QAE

cos

SI Units of Electric Flux: N·m2/C

Page 24: Chapter 18 Electric Forces and Electric Fields. 18.1 The Origin of Electricity The electrical nature of matter is inherent in atomic structure. coulombs

PROBLEMS TO BE SOLVED

• 18.20(21) [(a)0.166N,along +y-axis,(b)110.67m/s2,along +y-axis]; 18.35(36)[(a)8.02×105N/C,(b)1.28×10-13N]; 18.53(53)[32.55×10-9C].