# Coulombs Law

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Published on June 13, 2008

Author: guestfda040

Source: slideshare.net

Coulomb’s Law Bongjoo Chung

The Basics of Electricity Most of an atom consists of empty space. If a nucleus is as big as a grape seed, electron radii is as wide as a football field. Electromagnetic Force, one of the strongest forces in the world, holds components of an atom together.

Most of an atom consists of empty space.

If a nucleus is as big as a grape seed, electron radii is as wide as a football field.

Electromagnetic Force, one of the strongest forces in the world, holds components of an atom together.

The First Glimpse of Electricity As reported by the Ancient Greek philosopher Thales of Miletus around 600 BC, charge (or electricity ) could be accumulated by rubbing fur on various substances, such as amber. ηλεκτρον ( Elektron ) means amber.

As reported by the Ancient Greek philosopher Thales of Miletus around 600 BC, charge (or electricity ) could be accumulated by rubbing fur on various substances, such as amber.

ηλεκτρον ( Elektron ) means amber.

Electric Charges Protons and electrons each have qualities called positive electric charge and negative electric charge . Like charges repel each other, and different charges attract each other.

Protons and electrons each have qualities called positive electric charge and negative electric charge .

Like charges repel each other, and different charges attract each other.

Charges of Matters A matter is said to be charged when there is an imbalance of protons and electrons. The greater the accumulation of electrons is, the stronger the charge. Charge is measured in coulombs (C). An electron is -1.6*10 -19 C.

A matter is said to be charged when there is an imbalance of protons and electrons.

The greater the accumulation of electrons is, the stronger the charge.

Charge is measured in coulombs (C).

An electron is -1.6*10 -19 C.

Charles Augustin de Coulomb Born in 1736, died in 1806 Created a device that helped him develop his theories on charges and electric force and field. Torsion Balance

Born in 1736, died in 1806

Created a device that helped him develop his theories on charges and electric force and field.

Torsion Balance

Torsion Balance Invented by Coulomb to measure very weak force Contributed in the creation of Coulomb’s Law by measuring Coulomb’s Constant Also used by Henry Cavendish to find the gravitational constant. Coulomb’s sketch of his invention

Invented by Coulomb to measure very weak force

Contributed in the creation of Coulomb’s Law by measuring Coulomb’s Constant

Also used by Henry Cavendish to find the gravitational constant.

How It Works When an unknown force is applied to the metallic object or plates in the container, the object spins. The greater the force is, the bigger the angle.

When an unknown force is applied to the metallic object or plates in the container, the object spins.

The greater the force is, the bigger the angle.

What is Coulomb’s Law The magnitudes of the electrostatic force between two point electric charges are directly proportional to the product of the magnitudes of each charge and inversely proportional to the square of the distance between the charges. The strongest formula in the universe

The magnitudes of the electrostatic force between two point electric charges are directly proportional to the product of the magnitudes of each charge and inversely proportional to the square of the distance between the charges.

Electrostatic Approximation Coulomb's law is fully accurate only when the objects are stationary, and remains approximately correct only for slow movement. These conditions are collectively known as the electrostatic approximation .

Coulomb's law is fully accurate only when the objects are stationary, and remains approximately correct only for slow movement. These conditions are collectively known as the electrostatic approximation .

Similarity to Gravitational Force Electric force and gravitational force both measure magnitudes of certain forces between two bodies . Therefore, they are both directly proportional to the magnitudes of two bodies and inversely proportional to the squares of distances .

Electric force and gravitational force both measure magnitudes of certain forces between two bodies .

Therefore, they are both directly proportional to the magnitudes of two bodies and inversely proportional to the squares of distances .

K , Coulomb’s Constant K = 9*10^9 N*m 2 /C 2 Being one of the constants with biggest numbers, Coulomb’s Constant shows that electromagnetic force is one of the strongest forces in the universe.

K = 9*10^9 N*m 2 /C 2

Being one of the constants with biggest numbers, Coulomb’s Constant shows that electromagnetic force is one of the strongest forces in the universe.

Vector of Coulomb’s Law Electric force is a vector force. The first vector value is the sign of force, since the force can be either negative or positive. The second vector value is the angle and direction to which the force heads.

Electric force is a vector force.

The first vector value is the sign of force, since the force can be either negative or positive.

The second vector value is the angle and direction to which the force heads.

Linear Superposition F 2 = F 1->2 + F 3->2 With direction and sign known, multiples of electric forces can be calculated into a net force.

F 2 = F 1->2 + F 3->2

With direction and sign known, multiples of electric forces can be calculated into a net force.

Example The resulting force is F on 2, since q2 is repelled away by q3 and attracted to q1, because of charge movements.

The resulting force is F on 2, since q2 is repelled away by q3 and attracted to q1, because of charge movements.

Electric Field Every charge has an electric field associated with it. Electric field of a charge is an area in which the charge has electric force.

Every charge has an electric field associated with it.

Electric field of a charge is an area in which the charge has electric force.

Rules in Drawing Field Lines Electric field lines always go from positive to negative. The stronger the electric field is, the more the field lines. Dense field line web depicts strong electric field. Field lines never cross each other. Field Lines

Electric field lines always go from positive to negative.

The stronger the electric field is, the more the field lines.

Dense field line web depicts strong electric field.

Field lines never cross each other.

Field Lines

Coulomb’s Law - Field Based on his law, Coulomb was able to derive another formula. Since this formula is for a single point charge, only the magnitude of that charge is needed. E = Kq/d^2

Based on his law, Coulomb was able to derive another formula.

Since this formula is for a single point charge, only the magnitude of that charge is needed.

E = Kq/d^2

Electric Field of Higher Dimensions Since e. field of a point charge(0 th Dimension) is kq/r^2, those of line charge(2 nd ) and plane charge(3 rd ) will become kq/r and kq.

Since e. field of a point charge(0 th Dimension) is kq/r^2, those of line charge(2 nd ) and plane charge(3 rd ) will become kq/r and kq.

Work Cited Leduc, Steven. Cracking The AP Physics EXAM .Princeton Review, 2005. Gewirtz, Herman, Barron’s SAT Physics. Barron’s, 2007 Henderson, Tom. Electric Field Intensity. Physics Course Class Room. 1996-2007. <http://www.glenbrook.k12.il.us/GBSSCI/PHYS/CLASS/estatics/u8l4b.html Nave, Carl R. &quot;Electric forces.&quot; Hyperphysics . Georgia State University. 30 May      2008 <http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html>.

Leduc, Steven. Cracking The AP Physics EXAM .Princeton Review, 2005.

Gewirtz, Herman, Barron’s SAT Physics. Barron’s, 2007

Henderson, Tom. Electric Field Intensity. Physics Course Class Room. 1996-2007. <http://www.glenbrook.k12.il.us/GBSSCI/PHYS/CLASS/estatics/u8l4b.html

Nave, Carl R. &quot;Electric forces.&quot; Hyperphysics . Georgia State University. 30 May      2008 <http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html>.

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