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Electrostatic Potential
2 students

Electrostatic Potential

Electrostatic Potential and electrical potential energy
Created byGagan Deep Ahuja
Last updated 7/2022
English

What you'll learn

  • Electrostatic Potential
  • Electrostatic potential energy
  • Potential due to continuous charge distribution
  • Concentric spherical shells
  • Potential energy of a system of charged particles
  • Calculating distance of closest approach
  • Potential due to electric diploe
  • Equipotential surface

Course content

1 section • 31 lectures • 4h 25m total length

  • Introduction5:59
  • Electrostatic potential and potential energy10:33

    Understand electric potential as the work per unit charge to bring a test charge from infinity to a point. See how this creates electrostatic potential energy in a conservative field.

  • Electrostatic potential energy of a system of multiple charged particles5:58

    Compute the electrostatic potential energy of systems with multiple charges by summing pairwise Coulomb energies, using triangle and square configurations and distances derived by Pythagoras.

  • Closest distance of approach between two charged particles12:41
  • Electrostatic potential due to electric dipole12:05
  • Equipotential surfaces9:06

    Explore equipotential surfaces and their relation to electric fields, showing that work per unit charge is zero along a surface, and that electric field lines are perpendicular to these surfaces.

  • Relation between electric field and potential gradient5:51
  • Finding potential change from electric field6:26
  • Electrostatic potential energy due to two point charges and N point charges9:21
  • Electric potentilal energy between two point chaeges placed in external field5:18
  • Electric potential due to continous charge distribution and line charge8:54

    Explore the electric potential from a continuous charge distribution and a line; derive V at point P by integrating dq over r, yielding V = (λ/(4π epsilon naught)) ln((L+sqrt(L^2+B^2))/B).

  • Electric potential due to charged disc5:14
  • Electric field from electric potential due to charged disc3:21
  • Potential difference between two points in an electric field9:13
  • Potential difference between two points due to ifinite line charge4:46
  • Practice problems on potential difference part 110:05
  • Practice problems on potential difference part 210:48
  • Electric potential due to charged sphere (Conducting and non conducting)13:14

    Explore electric potential of charged spheres: for conductors, surface charge yields a constant interior potential equal to kQ/R; for non conducting spheres, inside potential follows V(r) = kQ/(2R^3)(3R^2−r^2).

  • Charge distribution on metal objects6:21
  • Problem based on distribution of charge7:41
  • Potential due to three concentric shells15:56
  • Distribution and induction of charges on cavity surface in conductors10:06
  • Charge distribution on a system of parallel plates15:43
  • Earthing of charged or uncharged metal bodies5:12
  • Earthing of a metal sphere3:34

    Earth supplies a charge to the metal sphere to drive its potential to zero, canceling the external charge's effect.

  • Charges on a system of Concentric shells5:10
  • Current flow due to earthing3:43
  • Earthing of a system of parallel plates17:43
  • Field energy8:45
  • Self energy of a charged body8:12
  • Self energy of uniformly charged non conducting sphere8:28

Requirements

  • Knowledge of algebra and basic calculus

Description

I am very pleased to introduce my new course on electrostatic potential which oi have made gor students studying in grade 11 and 12 and preparing for various college entrance examinations like AP . engineering and medical entrance examinations.

I have coverd this topic exhaustively in this course trying to include concepts related to advance level problems on electric potential. The sequence of topics i have taken are

Electric potential and potential energy

Electrostatic potential energy of system of charges

Closest distance of approach between rwo charged particles

Electrostatic potential energy due to electric dipole

Equipotential surfaces

Relation between electric field and potential

Finding potential change from electric field

Electrostatic potential energy due to two point charges

Electrostaticpotential energy between two charged particles placed in external electric field

Electric potential due to continuous charge distribution

Electric potential due to charged disc

Potential difference between two points

Potential difference between two points placed in external field

Practice problems on potential difference

Electric potential due to charged sphere

Charge distribution on metallic objects

Problems based on distribution of charge

Potential due to three concentric shells

Distribution and induction of chargeson cavity surface of conductors

Charge distribution on a system of parallel plates

Earthing of charged or uncharged metal bodies

Earthing of metal sphere

Charges on a system of concentric shells

Current flow due to earthing

Earthing of a system of parallel plates

Field energy

Self energy of a charged body

Self energy of a uniformly charged non conducting sphere




Who this course is for:

  • Students in grade 11 and 12
  • Students preparing for Advance Placement
  • Students preparing for various engineering and medical entrance examination

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