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”
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”
Let us today again discuss another application of gauss law of electrostatics that is to calculate Electric Field Due To Two Infinite Parallel Charged Sheets:-
Consider two parallel sheets of charge A and B with surface density of σ and –σ respectively .The magnitude of intensity of electric field on either side, near a plane sheet of charge having surface charge density σ is given by
E=σ/2ε0 Continue reading “Electric Field Due To Two Infinite Parallel Charged Sheets”
Let us today discuss another application of gauss law of electrostatics that is Electric Field Due To An Infinite Plane Sheet Of Charge:-
Consider a portion of a thin, non-conducting, infinite plane sheet of charge with constant surface charge density σ. Suppose we want to find the intensity of electric field E at a point p1near the sheet, distant r in front of the sheet. Continue reading “Electric Field Due To An Infinite Plane Sheet Of Charge”
We have already derived and discussed the gauss law of electrostatics. Let us discuss its applications one by one. Toady I will derive and discuss the electric field due to an Infinite line Of Charge.
Electric Field Due to An Infinite Line Of Charge Or Uniformity Charged Long Wire or Thin Wire:- Continue reading “Electric Field Due to An Infinite Line Of Charge derivation”
Gauss’s law for electrostatics is used for determination of electric fields in some problems in which the objects possess spherical symmetry, cylindrical symmetry,planar symmetry or combination of these. Let us discuss the applications of gauss law of electrostatics:
1. Electric Field Due To A Point Charge Or Coulomb’s Law From Gauss Law:-
To derive Coulomb’s Law from gauss law or to find the intensity of electric field due to a point charge +q at any point in space using Gauss’s law ,draw a Gaussian sphere of radius r at the centre of which charge +q is located (Try to make the figure yourself). Continue reading “Coulomb Law From Gauss Law derivation”
Last time I have derived and discussed the gauss law for electrostatics. Let us today derive and discuss the gauss law for electrostatics in differential form.
STATEMENT:-Differential form of Gauss law states that the divergence of electric field E at any point in space is equal to 1/ε0 times the volume charge density,ρ, at that point. Continue reading “Gauss law in differential form derivation”