Potential At A Point Due To An Electric Dipole

Let us calculate Potential At A Point Due To An Electric Dipole:-

Let an electric dipole consist of two equal and opposite point charges – q at A and +q at b ,separated by a small distance AB =2a ,with centre at O.

The dipole moment                 p=q*2a

We will calculate potential at any point P,where

OP=r and  angle BOP= θ Continue reading “Potential At A Point Due To An Electric Dipole”

Electric Potential Due To Single Charge Or Point Charge

let us discuss and derive the electric potential due to single charge or point charge. We will calculate electric potential at any point P due to a single point charge +q at O ;where OP=r

Electric potential at P is the amount of work done in carrying a unit positive charge from ∞ to P.

At any point A on the line joining OP ,where OA=x,the electric intensity is E=1/4πε0q/x2 along OA produced (try to make the figure yourself). Continue reading “Electric Potential Due To Single Charge Or Point Charge”

Einstein Coefficient Relation

Einstein Coefficient Relation derivation and discussion:

Einstein showed the interaction of radiation with matter with the help of three processes called stimulated absorption, spontaneous emission and stimulated emission. He showed in 1917 that for proper description of radiation with matter,the process of stimulated emission is essential.Let us first derive the Einstein coefficient relation on the basis of above theory:

Let N1 be the number of atoms per unit volume in the ground state E1 and these atoms exist in the radiation field of photons of energy E2-E1 =h v such that energy density of the field is E. Continue reading “Einstein Coefficient Relation”

Application of Biot-Savart law: Magnetic Field At The Centre Of The Circular Coil Carrying Current

Last time I have discussed and derived the Biot-Savart law. Let us today discuss the APPLICATION OF BIOT-SAVART’S LAW that is

Magnetic Field At The Centre Of The Circular Coil Carrying Current:-

Consider a circular coil of radius r with centre O,

Let I be the current flowing in the circular coil in the direction Continue reading “Application of Biot-Savart law: Magnetic Field At The Centre Of The Circular Coil Carrying Current”

Application of Gauss law of electrostatics: Electric Field Due To Two Thin Concentric Spherical Shells

Let us again discuss another application of Gauss law of electrostatics that is Electric Field Due To Two Thin Concentric Spherical Shells:-

Consider charges +q1 and +q2 uniformly distributed over the surfaces of two thin concentric metallic spherical shells of radii R1 and R respectively Continue reading “Application of Gauss law of electrostatics: Electric Field Due To Two Thin Concentric Spherical Shells”