Electrostatic Potential and Capacitance

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Topic Tree

Electrostatic Potential and Capacitance

  1. Introduction
    • Concept of potential energy and conservative forces
    • Work done in moving a charge in electrostatic field
  2. Electrostatic Potential
    • Definition and significance
    • Potential at a point from infinity
  3. Potential Due to a Point Charge
    • Derivation using work-energy principle
    • Sign of potential based on charge sign
  4. Potential Due to an Electric Dipole
    • Superposition principle
    • Potential expressions in axial and equatorial positions
    • Dipole potential vs point charge potential
  5. Potential Due to a System of Charges
    • Superposition of individual potentials
    • Continuous charge distribution
    • Spherical shell potentials (inside & outside)
  6. Equipotential Surfaces
    • Definition and examples (point charge, dipole, uniform field)
    • Properties and relation to electric field
    • Equipotential maps
  7. Potential Energy of a System of Charges
    • Two-charge system
    • Three-charge system and generalization
    • Work done by external forces
  8. Potential Energy in an External Field
    • Single charge in external potential
    • Two charges in external field
    • Dipole in uniform field and energy expression
  9. Electrostatics of Conductors
    • Properties of conductors
    • Shielding and surface field expressions
    • Electrostatic field inside cavities
  10. Dielectrics and Polarisation
    • Polar and non-polar molecules
    • Induced dipole and alignment in field
    • Polarisation vector and susceptibility
  11. Capacitors and Capacitance
    • Definition and types
    • Capacitance expression and units
    • Physical significance
  12. Parallel Plate Capacitor
    • Derivation of capacitance
    • Fringing effects
    • Dependence on geometry
  13. Effect of Dielectric on Capacitance
    • Field reduction and potential change
    • Dielectric constant (K)
    • Permittivity and capacitance relation
  14. Combination of Capacitors
    • Series combination: formula and logic
    • Parallel combination: formula and logic
  15. Energy Stored in a Capacitor
    • Energy expressions (½ CV², ½ QV, Q²/2C)
    • Energy density in electric field
  16. Summary
    • Key concepts and formulas
    • Points to ponder
  17. Exercises
    • Conceptual, numerical, and derivation problems

Notes

1. Important Formulae

2. Introduction on Electrostatic potential

Quiz – Attend the quiz after watching the video.

3. Electrostatic potential and capacitance – part-1

4. Electric potential and capacitance part-2

5. Problems in Electrostatics – Electric dipole and capacitor

NEET-2021 problem in electrostatics

Gauss law and its applications

Electric potential problem

Parallel plate capacitors

Problem based on capacitor

Effect of Dielectric in Capacitors part-1

Effect of Dielectric in Capacitor part-2

Capacitance of parallel plates

Capacitance of parallel plate capacitor with dielectric medium

Electrostatic force vs Gravitational force