- INTRODUCTION
- Properties of Charge
- Charging of a body
- Charging by conduction (flow)
- Charging by Induction
- Method
- Thermionic emission
- COULOMBS LAW (INVERSE SQUARE LAW)
- PRINCIPLE OF SUPERPOSITION
- ELECTROSTATIC EQUILIBRIUM
- ELECTRIC FIELD
- Properties of electric field intensity
- List of formula for Electric Field Intensity due to various types of charge distribution
- Electric field due to uniformly charged wire
- Electric field due to uniformly charged infinite sheet
- Electric field due to uniformly charged spherical shell
- Finding electric field due to a uniformly charged spherical shell
- Steps of integration : From above integral
- Electric field due to uniformly charged solid sphere
- ELECTRIC POTENTIAL
- Electric Potential due to various charge distributions are given in table
- Potential due to a point charge
- Potential due to a ring
- Potential due to uniformly charged disc
- Potential Due To Uniformly Charged Spherical shell
- Potential Due To Uniformly Charged Solid Sphere
- POTENTIAL DIFFERENCE
- Potential difference in a uniform electric field
- Potential difference due to infinitely long wire
- Potential difference due to infinitely long thin sheet
- EQUIPOTENTIAL SURFACE
- ELECTROSTATIC POTENTIAL ENERGY
- ELECTROSTATIC POTENTIAL ENERGY OF A SYSTEM OF CHARGES
- Derivation of electric potential energy for continuous charge system
- Energy density
- RELATION BETWEEN ELECTRIC FIELD INTENSITY AND ELECTRIC POTENTIAL
- ELECTRIC DIPOLE
- Electric Field Intensity Due to Dipole
- Electric Potential due to a small dipole
- Dipole in uniform electric field
- Dipole in non-uniform electric field
- ELECTRIC LINES OF FORCE (ELOF)
- ELECTRIC FLUX
- GAUSS LAW IN ELECTROSTATICS OR GAUSS'S THEOREM
- Finding electric field from Gauss`s Theorem
- Electric field due to solid sphere having uniformly distributed charge Q and radius R
- Electric field due to infinite line charge having uniformly distributed charged of charge density
- Electric field due to infinitely long charged tube having uniform surface charge density and radius R
- E due to infinitely long solid cylinder of radius R having uniformly distributed charge in volume volume charge density
- CONDUCTOR AND IT'S PROPERTIES [FOR ELECTROSTATIC CONDITION
- FINDING FIELD DUE TO A CONDUCTOR
- ELECTROSTATIC PRESSURE AT THE SURFACE OF THE CONDUCTOR
- Some other important results for a closed conductor
- Sharing of charges

The branch of physics which deals with electric effect of static charge is called

electrostatics.

Read moreCharge is a scalar quantity : It adds algebraically and represents excess or

deficiency of electrons

Read moreA body can be charged by means of (a) friction, (b) conduction, (c) induction, (d) thermionic

ionization or thermionic emission (e) photoelectric effect and (f) field emission

Read moreConductor : Conductors are the material in which the outer most electrons are very loosely

bound, so they are free to move (flow). So in a conductor, there are large number of free electrons

Read moreTo understand this, let’s have introduction to induction

Read moreMethod

Step 1. Take an isolated neutral conductor..

Read moreWhen the metal is heated at a high temperature then some electrons

of metals are ejected and the metal becomes positively

charged.

Read moreOn the basis of experiments Coulomb established the following law known as Coulomb's law :

The magnitude of electrostatic force between two point charges is directly proportional to the product of

charges and inversely proportional to the square of the distance between them

Read moreThe electrostatic force is a two body interaction i.e. electrical force

Read moreThe point where the resultant force on a charged particle becomes zero is

called equilibrium position

Read moreElectric field is the region around charged particle or charged body in which if

another charge is placed, it experiences electrostatic force.

Read moreDirection of electric field due to positive charge is always away from it while due

to negative charge, always towards it.

Read moreList of formula for Electric Field Intensity due to various types of charge distribution

Read moreLine charge of finite length : Derivation of expression for intensity of electric field at a point due

to line charge of finite size of uniform linear charge density ?. The perpendicular distance of the

point from the line charge is r and lines joining ends of line charge distribution make angle ?1 and

?2 with the perpendicular line

Read moreELECTRIC FIELD DUE TO AN INFINITELY LARGE, UNIFORMLY CHARGED SHEET

Derivation of expression for intensity of electric field at a point which is at a perpendicular distance

r from the thin sheet of large size having uniform surface charge density

Read moreElectric field due to uniformly charged spherical shell

Read moreFinding electric field due to a uniformly charged spherical shell

Read moreSteps of integration : From above integral

Read moreDerive an expression for electric field due to solid sphere of radius R

and total charge Q which is uniformly distributed in the volume,

at a point which is at a distance r from centre for given two cases

Read moreIn electrostatic field, the electric potential (due to some source charges) at a point P is

defined as the work done by external agent in taking a unit point positive charge from a

reference point (generally taken at infinity) to that point P without changing its kinetic

energy

Read moreElectric Potential due to various charge distributions are given in table

Read morePotential due to a point charge

Read morePotential at the centre of uniformly charged ring :

Potential due to the small element dq

Read moreA disc of radius 'R' has surface charge density (charge/area) We have to find potential at its axis, at

point 'P' which is at a distance x from the centre

Read moreDerivation of expression for potential due to uniformly charged hollow sphere of radius R and

total charge Q, at a point which is at a distance r from centre for the following situation

Read morePotential Due To Uniformly Charged Solid Sphere

Read moreThe potential difference between two points A and B is work done by external agent against

electric field in taking a unit positive charge from A to B with no change in kinetic energy

between initial and final points ie

Read morePotential difference in a uniform electric field

Read morePotential difference due to infinitely long wire :

Derivation of expression for potential difference between two points, which

Read moreDerivation of expression for potential difference between two points, having

separation d in the direction perpendicularly to a very large uniformly charged

thin sheet of uniform surface charge density

Read moreDefinition : If potential of a surface (imaginary or physically existing) is same throughout, then such surface

is known as an equipotential surface

Read moreThe electrostatic potential energy of a point charge at a

point in electric field is the work done in taking the charge

from reference point (generally at infinity) to that point

without change in kinetic energy

Read moreELECTROSTATIC POTENTIAL ENERGY OF A SYSTEM OF CHARGES

Read moreFinding P.E., (Self Energy) of a uniformly Charged spherical shell :-

For this, lets use method 1 : Take an uncharged shell. Now bring charges one by one from infinity to

the surface fo the shell. The work required in this process will be stored as potential Energy

Read moreDef: Energy density is defined as energy stored in unit volume in any

electric field. Its mathematical formula is given as following

Read moreRELATION BETWEEN ELECTRIC FIELD INTENSITY AND ELECTRIC

POTENTIAL

Read moreIf two point charges, equal in magnitude ‘q’ and opposite in sign separated by a

distance ‘a’ such that the distance of field point r>>a, the system is called a

dipole. The electric dipole moment is defined as a vector quantity having magnitude

p = (q × a) and direction from negative charge to positive charge

Read moreAs the direction of electric field at axial position is along the dipole moment

Read moreElectric Potential due to a small dipole

Read moreDipole in uniform electric field

Dipole is placed along electric field

Read moreDipole in non-uniform electric field

Read moreELECTRIC LINES OF FORCE (ELOF)

The line of force in an electric field is an imaginary line, the tangent to which at any point on it represents

the direction of electric field at the given point

Read moreConsider some surface in an electric field E

Let us select a small area element

Read moreThis law was stated by a mathematician Karl F Gauss. This law gives the relation between

the electric field at a point on a closed surface and the net charge enclosed by that

surface. This surface is called Gaussian surface. It is a closed hypothetical surface. Its

validity is shown by experiments. It is used to determine the electric field due to some

symmetric charge distributions.

Read moreSince, electric field due to a shell will be radially outwards.

So lets choose a spherical Gaussian surface Applying

Gauss`s theorem for this spherical Gaussian surface

Read moreElectric field due to solid sphere having uniformly distributed charge

Q and radius R

Read moreElectric field due to infinite line charge having uniformly

distributed charged of charge density

Read moreElectric field due to infinitely long charged tube having

uniform surface charge density and radius R

Read moreE due to infinitely long solid cylinder of radius R having uniformly

distributed charge in volume volume charge density

Read moreConductors are materials which contain large number of free electrons which can

move freely inside the conductor

Read moreSuppose we have a conductor and at any 'A', local surface charge

density We have to find electric field just outside the conductor

surface.

Read moreSuppose a conductor is given some charge. Due to repulsion, all the charges

will reach the surface of the conductor. But the charges will still repel each

other. So an outward force will be felt by each charge due to others. Due to

this force, there will be some pressure at the surface, which is called electrostatic

pressure

Read moreSome other important results for a closed conductor

Potential on both spherical shell becomes equal after joining. Therefore

Read more