Electrostatics – Stage 1

Chapter 1: Electric Charges & Fields – Page 5


1. What are Electric Field Lines?

Electric field lines are imaginary lines drawn to represent the direction and nature of the electric field in space.

Definition: The tangent drawn to an electric field line at any point gives the direction of the electric field at that point.


2. Origin and Termination of Field Lines

  • Field lines originate from positive charges.
  • Field lines terminate on negative charges.
  • For isolated charges, lines start or end at infinity.

JEE Tip: Field lines never start or end in free space (except at infinity).


3. Rules of Electric Field Lines (VERY IMPORTANT)

  1. Field lines never intersect.
  2. Closer field lines → stronger electric field.
  3. Field lines are continuous curves.
  4. No closed loops (electrostatic field is conservative).
  5. Number of lines ∝ magnitude of charge.
  6. Field lines are perpendicular to conductor surface.

4. Field Lines for Single Charge

  • Positive charge: Lines radiate outward.
  • Negative charge: Lines converge inward.

Concept Check: Direction of field line = direction of force on a positive test charge.


5. Field Lines for Two Charges

Case 1: Two Like Charges (+ + or − −)

  • Field lines repel each other.
  • No line connects the two charges.
  • Neutral point may exist on the line joining them.

Case 2: Unlike Charges (+ −)

  • Field lines start from + and end on −.
  • Field lines are dense between charges.
  • Represents electric dipole.

6. Electric Dipole – Field Line Pattern

An electric dipole consists of two equal and opposite charges separated by a small distance.

Dipole Moment: 𝐩⃗ = q · 2a

  • Field lines are symmetric.
  • Strong field near charges.
  • Zero field at center.

7. Field Lines and Conductors

  • Inside a conductor: E = 0.
  • Field lines are perpendicular to surface.
  • More crowded near sharp edges → high field.

JEE Application: Reason for lightning rods & electric discharge at sharp points.


8. Common Misconceptions (Exam Traps)

  • Field lines are not real paths of charges.
  • Number of lines does NOT depend on distance.
  • Crossing field lines is impossible.
  • Closed loops indicate magnetic field, not electric.

Stage 1 – Page 5 Takeaway

  • Field lines visualize electric field.
  • Density indicates field strength.
  • Patterns help solve symmetry problems.
  • Used heavily in conceptual MCQs.

Next → Stage 1, Page 6: Electric Flux – Concept, Area Vector & Physical Meaning

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