
Master the mathematical tools—coordinate systems, vectors, and calculus concepts like differentiation and integration—then apply electric field, potential, and work concepts to Gauss's law and electrostatics.
Learn how coordinate systems, vectors, and calculus underpin physics, defining velocity and acceleration and using vector components, unit vectors, and basic relationships like v = u + at.
Explore the concept of solid angle, from defining it on a sphere to projecting elementary areas on irregular closed surfaces in three dimensions.
Discover how flux measures the strength of a vector through an area, using the dot product, perpendicular orientation, and integration for non uniform fields across surfaces.
Introduce electric field, work and energy concepts, electric potential energy, and electric potential, showing how electric potential arises from the electric field.
Explore electrostatic concepts, including Coulomb's law, electric field, electric potential energy, and electric potential, and see how they analogize gravity through charges.
Understand the electric field as the region around a charge where it exerts force, defined as the force per unit charge, to simplify electrostatics analysis.
Apply the work–kinetic energy relation: work changes kinetic energy via force and displacement, while conservative forces govern potential energy and overall mechanical energy conservation.
explain electric potential energy from the electrostatic force between charges, define U as negative work, set infinity as reference, and sum pair energies for multi-particle systems.
explain electric potential, its unit, and how it relates to electric field and potential energy through work, displacement, and coulomb's law.
Explore electric potential as the work to move a unit charge from infinity to a point, with no change in kinetic energy, uniquely identifying that point in space.
Explore Gauss's law by relating the net flux through a closed surface to enclosed charge, show that external charges contribute zero flux, and apply a two-step internal/external analysis.
Apply Gauss's law to choose symmetry-friendly surfaces, such as a cylinder around a long line charge or a plane with uniform surface charge, to simplify field calculations.
Explore how a magnetic field around a current-carrying wire explains the force on a moving charge via F = q v × B, and how physics builds an observational theory.
Explore how magnetic and electric fields relate and transform with frame of reference, showing how a charged particle near a current-carrying wire experiences either field depending on the observer.
Learn how a current-carrying wire experiences a magnetic force in a field and derive it as F = I l × B, with applications to motors and fans.
Explore how a battery maintains a constant flow of charge, defines electric potential and potential difference, and explains oxidation–reduction in an electrochemical zinc–copper cell.
Capacitors store electrical energy in two close plates and smooth current in circuits; charge relates to voltage by Q=CV, and larger plates increase storage.
This course will help you to develop an in-depth understanding of electrostatics. Electrostatics is the foundation on which other advanced topics such as Magnetism and Electromagnetic spectrum etc are based. There are many materials available on electrostatics; however they do not focus on explaining the nuanced concepts. This course does not merely explain the facts, but goes deep and explains why those facts exist in the first place.
Secondly, in this course, you will find a dedicated section on various mathematical tools, which will be used throughout the course. I believe that your understanding of the concepts becomes very easy if you are able to express them mathematically. The mathematical tools, which you will learn in this course will be beneficial not only for electrostatics, but for any discipline of Physics.
The course is divided into three sections:
1. Mathematical tools needed to apply Electrostatics
2. Electrostatics concepts
3. Gauss's Law
4. Application of electrostatics concepts in Battery and capacitors
This course covers a methodical approach to solving numerical problems. Whether you are in high school preparing for an engineering entrance examination or you are looking to hone your skills or you are just curious to learn about Physics, you will find this course very useful.