The most visual, intuitive, and exam-oriented guide — built for weak and average students who want to score big.
Adjust the sliders to see how force changes with charge and distance in real-time. This is the most important formula in the chapter.
| k (Coulomb's constant) | 9 × 10⁹ N·m²/C² |
| ε₀ (permittivity) | 8.85 × 10⁻¹² C²/N·m² |
| e (electron charge) | 1.6 × 10⁻¹⁹ C |
| 1 μC | 10⁻⁶ C |
| Force | F = kq₁q₂/r² = q₁q₂/4πε₀r² | N (Newton) |
| k constant | k = 9 × 10⁹ N·m²/C² | Memorize! |
| In medium | F_m = F_air / εᵣ | εᵣ ≥ 1 |
| Definition | E = F / q₀ | N/C or V/m |
| Point charge | E = kq / r² | radial |
| Inside conductor | E = 0 | Always! |
| Quantization | q = ne | n = integer |
| e (electron) | 1.6 × 10⁻¹⁹ C | Memorize! |
| ε₀ | 8.85 × 10⁻¹² C²/N·m² | Memorize! |
| Dipole moment | p = q × 2a | C·m; from −→+ |
| E_axial (r>>a) | 2kp / r³ | same as p⃗ |
| E_equatorial (r>>a) | kp / r³ | opp. to p⃗ |
| Golden rule | E_axial = 2 × E_eq | ★ NEET! |
| Torque | τ = pE sinθ | max at θ=90° |
| PE of dipole | U = −pE cosθ | min at θ=0° |
| Electric flux | Φ = EA cosθ | N·m²/C |
| Gauss's law | ∮E·dA = q/ε₀ | enclosed q only |
| Line charge | E = λ / 2πε₀r | ∝ 1/r |
| Plane sheet | E = σ / 2ε₀ | const., no r! |
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