NEWTON LAWS OF MOTION
FRICTION
VELOCITY AND ACCELERATION
CENTRAL FORCES
UNIFORMLY ROTATING FRAME- CENTRIFUGAL AND CORIOLIS FORCES
CONSERVATION LAWS
CENTRE OF MASS AND VRIABLE MASS SYSTEMS
RIGID BODY DYNAMICS
FLUID DYNAMICS
COULOMB LAW AND ELECTRIC FIELD
GAUSS LAW OF ELECTROSTATICS AND APPLICATIONS
POLARIZATION OF DIELECTRICS
WORK AND ENERGY IN ELECTROSTATICS
BOUNDARY VALUE PROBLEMS
CURRENT ELECTRICITY
MAGNETOSTATICS
FARADAY LAW OF ELECTROMAGNETIC INDUCTION
MAGNETIC MATERIALS
DC CIRCUITS
AC CIRCUITS
MAXWELL EQUATIONS and poynting vector
ELECTROMAGNETIC WAVES
REFLECTION AND REFRACTION OF EM WAVES AT THE INTERFACE OF TWO DIELECTRICS
Section 3: MATHEMATICAL PHYSICS
MULTIPLE INTEGRAL
VECTOR CALCULUS
DIFFERENTIAL EQUATIONS
MATRICES
DIFFERENTIAL CALCULUS
FOURIER SERIES
PARTICLE NATURE OF WAVE
WAVE NATURE OF PARTICLE
H ATOM
POSTULATES OF QUANTUM MECHANICS
SCHRONDINGER WAVE WQUATION
NUCLEAR PHYSICS
SPECIAL THEORY OF RELATIVITY
SIMPLE HARMONIC OSCILLATION
DAMPED AND FORCED OSCILLATION
WAVES
GEOMETRICAL OPTICS
INTERFERENCE
DIFFRACTION
POLARIZATION OF LIGHT
THERMAL EXPANSION
CALORIMETRY
TRANSMISSION OF HEAT
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Coulomb’s Law

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Force between two point charges (interaction force) is directly proportional to the product of magnitude of charges ( q_1 and  q_2 ) and is inversely proportional to the square of the distance between them i.e.,  \left ( 1/r^2 \right ) . This force is conservative in nature. This law is also called inverse square law. The direction of force is always along the line joining the point charges.

 F \propto \dfrac{q_1 q_2}{r^2}  F = k \dfrac{q_1 q_2}{r^2}  k = \dfrac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 N-m^2/C^2  \varepsilon_0 = \mathrm{permittivity \ of \ free \ space} = 10^{-12} C^2/ N-m^2

Coulomb’s Law in Vector Form

Suppose the position vectors of two charges  q_1 and  q_2 are  \bar{r}_1 and  \bar{r}_2 , then, electric force on charge  q_1 due to charge  q_2 is,

 \bar{F}_{12} = \dfrac{1}{4 \pi \varepsilon_0} \dfrac{q_1 q_2}{|\bar r_1 - \bar r_2 |^3} \left ( \vec {r_1} - \vec{r_2} \right)

Similarly, electric force on  q_2 due to charge  q_1 is

 \vec F_{12} \dfrac{1}{4 \pi \varepsilon_0} \dfrac{q_1 q_2}{|\bar r_2 - \bar r_1|^3} \left ( \bar r_2 - \bar r_1 \right )

Here  q_1 and  q_2 are to be substituted with sign. Position vector of charges  q_1 and  q_2 are and respectively where  (x_1 y_1 z_1) and  (x_2 y_2 z_2) are the coordinates of charges  q_1 and  q_2 .