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Properties of Electric charges - Physics | PHYS 2086, Study notes of Physics

Material Type: Notes; Professor: Zhou; Class: GEN PHYS-ELEC, MAGN & MOTION; Subject: Physics; University: Montana Tech of the University of Montana; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/08/2009

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Review: Properties of Electric Charges
There are two kinds of charges in nature:
positive and negative;
Charges of the same sign repel each other;
and those of opposite sign attract one
another;
Total charge in an isolated system is
conserved (positive = negative);
Charge is quantized.
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Review: Properties of Electric Charges^ „^ There are two kinds of charges in nature:positive and negative;^ „^ Charges of the same sign repel each other;and those of opposite sign attract oneanother;^ „^ Total charge in an isolated system isconserved (positive = negative);^ „^ Charge is quantized.

Review Questions 1. How many types of charges in nature? 2. A glass rod rubbed with silk will attract orrepel with a rubber rubbed with fur? 3. After a glass rod is rubbed with silk, ithave a total charge of 1000 protons. Howmuch charge does the silk have?

New ConceptInsulators^ „^ Electrical insulators are materials in which allof the electrons are bound to atoms^ „^ These electrons can not move relatively freelythrough the material^ „^ Examples of good insulators include glass, rubberand wood^ „^ When a good insulator is charged in a smallregion, the charge is unable to move to otherregions of the material

New ConceptSemiconductors^ „^ The electrical properties of semiconductorsare somewhere between those of insulatorsand conductors^ „^ Examples of semiconductor materialsinclude silicon and germanium

Charging by Induction^ „^ Charging by inductionrequires no contact withthe object inducing thecharge^ „^ The electrons in theneutral sphere areredistributed as thenegatively chargedrod is approaching

Charging by Induction, 2 „^ Some electrons willleave the sphere throughthe ground wire „^ There will now be morepositive charges after theground wire is removed „^ The positive charge hasbeen^

induced

in the sphere

Charging by Induction, 5^ „^ The electrons remainingon the sphereredistribute themselves^ „^ There is still a netpositive charge on thesphere after rod isremoved

Charge Rearrangement inInsulators „^ In neutral molecules,the center of positivecharge coincides withthat of negativecharge „^ The charges within themolecules of thematerial arerearranged

Æa layer of charge facing thecharged object

Point Charge^ „^ The term

point charge

refers to a

particle of zero size that carries anelectric charge^ „^ The electrical behavior of electrons andprotons is well described by modeling themas point charges

Proton, electron, and atomic mass „^ Proton:^ „^ proton

is a particle smaller than an atom (called subatomicparticle) with an electric charge of one positive fundamental unit−^19 (+1.602 × 10C) and a mass of

1.6726 × 10

−^27 kg

„^ Electron:^ „^ electron

is a fundamental particle smaller than an atom (calledsubatomic particle) which carries a negative fundamental unit−^19 (-1.602 × 10C) and a mass of 9.11x

-31^ kg.

„^ 1 C needs 6.24 x 10

18 electrons or protons „^ Typical charges can be in the

μ C range: 1

-6^ μ C = C

„^ Unit of atomic mass:^ „^ 1u = 1.66x

-27^ kg

Problem solving Example 1: The plasma is an ionized gas. The plasma in a hot starcontains quadruply ionized nitrogen atoms, N

+4^. Find the

charge and mass of a quadruply ionized nitrogen atoms. Solution: 1) Charge = 4 electrons x 1.602x10-19C

=6.408x10-19C

  1. Mass:

kg

kg m kg mm u m

e e NN

26

31 (^2710) (^3248). 2

(^1011). 9 4 (^1066). 1 (^444007). 14 007. 14 −

×

×× − ×× =

×− =+

Problem solving^ Example 2:^ Calculate the number of electrons in 1g of copper.

Coulomb’s Law „^ Charles Coulomb measured the electricforces between two small chargedspheres „^ He found that:^ „^ The force is inversely proportional tothe square of the separation

r

between the particles and directedalong the line joining them.

Æ^ F^^ ∝ e (^2) 1/r. „ The force is proportional to theproduct of the charges,

q and^ q^1

, on

the two particles.

Æ^ F^^ ∝^ qe

q. 12 F^^ ∝^ (q^ qe^12

(^2) )/r „^ The force is a conservative force(work done just depends onpositions not on path).

Torsion balance

Coulomb’s Law, Equation „^ Mathematically, „^ The SI unit of charge is the

coulomb

(C)

„^ k is called the e^

Coulomb constant

„^ k^ = 8.9875 x 10 e^

9.^2 Nm^ /C

π^ ε)o

„^ εis theo^

permittivity of free space

„^ ε= 8.8542 x 10o^

-12^2 C/ N

.^2 m (^1) = 2 2 e^ e

q^ q F^ k^

r