electromagnetism

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Electromagnetism Forces in nature: How does matter interact? Four Fundamental Forces: Long range: Gravity Mid Range: Electromagnetic Short Range: Strong and Weak

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Electromagnetism. Forces in nature:. How does matter interact? Four Fundamental Forces: Long range: Gravity Mid Range: Electromagnetic Short Range: Strong and Weak. Electric Charge (~Mass). Two types of electric charge: positive and negative Unit of charge is the coulomb [C] - PowerPoint PPT Presentation

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Page 1: Electromagnetism

Electromagnetism

Forces in nature:

How does matter interact?

Four Fundamental Forces:

Long range: Gravity

Mid Range: Electromagnetic

Short Range: Strong and

Weak

Page 2: Electromagnetism

Electric Charge (~Mass)Two types of electric charge: positive and negative

Unit of charge is the coulomb [C]

Charge of electron (negative) or proton (positive)is

,e C10602.1 19e

Charge is quantized

NeQ Charge is conserved

, epn ee

Page 3: Electromagnetism

Electric Force (~Gravity)The electric force between charges q1 and q2 is

(a) repulsive if charges have same signs

(b) attractive if charges have opposite signs

Like charges repel and opposites attract !!

Page 4: Electromagnetism

Coulomb's LawCoulomb’s law:Force by q1 on q2

Direction: along the line joining the two chargesRepulsive or attractive

221

r

qqkF e

Coulomb’s constant in vacuum:

229

0

C/Nm1094

1

ek

Page 5: Electromagnetism

The superposition principleIf many charges are present:Net force is on any charge is the

vector sum of the forces from all the individual charges

In general:

23133 FFF

N

iijNjjjj FFFFF

121 ...

Page 6: Electromagnetism

The electric fieldThe electric field at a point is the force acting on a test

charge q at that point divided by the charge q

For a test charge q

q

FE

EqF

has the direction and sense of the force on a positive charge.

E

Page 7: Electromagnetism

Electric field created by a point charge Q

2

1

r

Qqk

qq

FE e

2r

QkE e

is outwards a positive charge and inwards a negative charce

E

E

Page 8: Electromagnetism

The superposition principle for fields

The electric field due to a collection of N point charges is the vector sum of the individual electric fields due to each charge:

N

iiN EEEEE

121 ...

Page 9: Electromagnetism

Example of vector field: gravitation

Page 10: Electromagnetism

Comparison with gravity

Page 11: Electromagnetism

Electric field lines

Page 12: Electromagnetism
Page 13: Electromagnetism

(http://ocw.mit.edu/ans7870/8/8.02T/f04/visualizations/vectorfields/02-particleSource/02-ParticleSource_320.html)

Flows With Sources

Page 14: Electromagnetism

(http://ocw.mit.edu/ans7870/8/8.02T/f04/visualizations/vectorfields/01-particleSink/01-ParticleSink_320.html)

Flows with sinks

Page 15: Electromagnetism

(http://ocw.mit.edu/ans7870/8/8.02T/f04/visualizations/vectorfields/03-particleCirculate/03-PartCircMotion_320.html)

Circulating flows

Page 16: Electromagnetism
Page 17: Electromagnetism
Page 18: Electromagnetism