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”
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”
let us today discuss the the concept of electric potential and electric potential difference.
Electric Potential at a point in an electric field is defined as amount of the work done in moving a unit positive test charge from infinity to that point against the electric force of the field. Continue reading “Electric potential and electric potential difference”
Energy stored in Capacitor
A charged Capacitor is a store of electrical potential energy.
To find the energy stored in a capacitor, let us consider a capacitor of capacitance C, with a potential difference V between the plates.
There is a charge +q on one plate and –q on the other. Continue reading “Energy stored in capacitor derivation”
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”
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”
BIOT-SAVART’S LAW OR AMPERE’S LAW FOR CURRENT ELEMENT
Biot-Savart’s law deals with the magnetic field induction at a point due to a small current element.
A current element is a conductor carrying current.It is the product of current,I and length of very small segment of current carrying wire ,dL. Continue reading “BIOT-SAVART’S LAW DERIVATION”
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 R2 respectively Continue reading “Application of Gauss law of electrostatics: Electric Field Due To Two Thin Concentric Spherical Shells”
Let us today discuss another application of Gauss law for electrostatics that is the Electric Field Due To A Uniform Charged Sphere:-
Consider a charge +q be uniformly distributed in a sphere of radius R with centre at O. Continue reading “Application of gauss law for electrostatics: Electric Field Due To A Uniform Charged Sphere”