# Electro Potential Class 12 Notes Download

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##### DEFINITION OF ELECTRIC POTENTIAL

Electric Potential: The work done in bringing a certain charge from infinity to a certain point against the electric field is called electric potential.

Or – The work done in bringing a unit test positive charge from bliss to a certain point against the electric field is called electric potential.

Or – The physical quantity by which the direction of flow of electric current is determined is called electric potential.

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Electric Potential On The Axis Of An Electric Dipole

Let the electric dipole AB with positive charge and negative charge +q and -q are present.

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Electric Potential At The Pole Of An Electric Dipole

Let the equatorial point C and R be located at a distance from the mid point O of the electric dipole AB, so the potential at the equatorial point C will be V.

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Electric Potential At Another Point At An Angle To The Electric Dipole

Let C be the point C located at a distance r at angle from the mid point O of the electric dipole AB, the distance of the negative charge and negative charge of the dipole from the point C is r1,r2 respectively, so the electric potential at the point C will be V.

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##### imp*EQUIPOTENTIAL PAGE

The imaginary vertical up to which the value of the potential remains the same is called the equipotential surface.
For example, the neutral of the electric dipole, the surface of the earth

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##### Properties :-

=> Equipotential The value of the potential at each point of the surface has to be respected i.e. listening to the difference
=> Work done in moving a charge on an equipotential surface is always zero
=> The direction of electric field is always perpendicular to the equipotential surface
=> Equipotential planes perpendicular to the surface do not intersect each other
=> surface of conductor is always equipotential surface

##### Potential Generated By The Conductor Shell

Suppose a conducting sphere with radius R and charge q on it. This conducting sphere is located in vacuum, so the electric potential at different points by the conducting sphere will be V.

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##### Potential Produced By The Dielectric Sphere

Suppose a charged conducting sphere having radius R and charge q on it, this charged non-conducting sphere distributes the charge throughout the volume, so suddenly the potential produced by the sphere will be V.

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##### Work Done In Rotation By Electric Dipole

Let the electric dipole AB be located in a homogeneous electric field E. The electric field produces a pair of forces (torque) on the dipole due to which the dipole exhibits rotation, so the work done by the electric dipole in rotation will be W.

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##### Potential Energy (U) Of Electric Dipole

An electric dipole AB whose distance 2a is kept in vacuum, in axial position, the first potential energy of the dipole will be U1

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Electrostatic Potential (V) And Potential Difference (∆v)

##### ELECTROSTATIC POTENTIAL (V)

The work done in bringing a charge from infinity against an electric field is called electrostatic potential.

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##### POTENTIAL DIFFERENCE (∆V)

The difference in potential between two points is called in vivo difference.

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In general, the potential difference is also called potential drop or terminal voltage or voltage.

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##### Relationship Between Electric Potential And Electric Field Intensity

The value of electric field intensity is always equal to the negative slope of the potential
The negative gradient of the potential shows that the work done in bringing the charge from infinity to infinity against the electric field is always negative.

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##### Electric Potential Of A Charged System Multiple Charges

Electric potential is a scalar quantity i.e. the total potential of a multiple charged body is always equal to the scalar sum of the individual potentials.

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##### ELECTRIC POTENTIAL ENERGY (U)

The energy produced by charges due to the position of an electrically (stationary) charged system is called electrostatic potential energy.

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Potential Energy Of Charged System / Multiple Charges

The potential energy of a multiple charged system is always equal to the scalar sum of the potential energy o of the individual charged system.

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ELECTRO POTENTIALPOTENTIAL GENERATED BY POINT CHARGE

Let A be the point located in the electric field E

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