Electrostatics & Capacitance
Syllabus Unit: Electrodynamics
Why it matters
Chapter overview
Electrostatics studies electric charge at rest — how it exerts force on other charges (Coulomb's law), sets up a field and a potential in the space around it, and how conductors can be arranged to store charge and energy (capacitors). NEET builds this module from a single point charge's force and field, through the shortcut Gauss's law provides for symmetric charge distributions, up to the practical charge-storage device every circuit relies on.
1Coulomb's Law & Electric Field
Coulomb's law gives the force between two point charges; the electric field describes the force per unit charge any charge would feel at a point in space.
Learning Objectives
- State Coulomb's law and identify the role of the constant k = 1/4πε0 ≈ 9×10^9 N·m²/C².
- Calculate the force between two point charges and how it changes with distance or medium.
- Define electric field intensity E = F/q0 and compute E due to a point charge.
- Sketch field lines for isolated point charges and a dipole, and state the rules that govern them.
Key Terms
**Coulomb's law** states that the electrostatic force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them, acting along the line joining them.
Coulomb's law in detail
- F = kq1q2/r², with k = 1/4πε0 ≈ 9×10^9 N·m²/C² in vacuum/air.
- Force is repulsive for like charges, attractive for unlike charges — always along the line joining them.
- It is an inverse-square law: doubling r cuts the force to a quarter.
- In a medium of dielectric constant K, the force reduces to F/K compared to vacuum.
Electric field
The electric field at a point is the force per unit positive test charge placed there: **E = F/q0**. For a point charge Q, E = kQ/r², pointing radially outward from a positive charge and radially inward toward a negative one.
- Field lines originate on positive charges and terminate on negative charges.
- Two field lines never cross — the field at any point has one unique direction.
- Denser lines indicate a stronger field; the tangent at any point gives the field's direction there.