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⚡ COULOMB'S LAW & ELECTRIC FIELD — QUICK NOTES 🔹 Coulomb's Law The electrostatic force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Formula: F = k(q₁q₂)/r² where, k = 1/4πϵ₀ = 9 × 10⁹ N·m²/C² q₁, q₂ = Charges r = Distance between the charges 🔹 Nature of Electrostatic Force ✓ Like charges repel. ✓ Unlike charges attract. ✓ Electrostatic force acts along the line joining the two charges. 🔹 Electric Field (E) Electric field is the force experienced per unit positive test charge. Formula: E = F/q 🔹 Electric Field Due to a Point Charge E = kQ/r² Direction: • Away from a positive charge. • Towards a negative charge. 🔹 Force on a Charge in an Electric Field F = qE 🔹 Principle of Superposition The net electric field at a point is the vector sum of electric fields due to all individual charges. ⚡ OLYMPIAD FACTS ✓ Electric field is a vector quantity. ✓ Coulomb's force is a central force. ✓ Electric field lines never intersect. ✓ Electric field inside a conductor in electrostatic equilibrium is zero. ✓ Coulomb's law is valid for point charges at rest. 🎯 MUST REMEMBER F = k(q₁q₂)/r² E = F/q E = kQ/r² F = qE These are the most frequently used Coulomb's Law and Electric Field concepts in Olympiad, JEE, and NEET problems.

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🇮🇳 Golden Glory for India at IPhO 2026!🥇✨ History has been created! India has achieved a Golden Sweep at the 56th International Physics Olympiad (IPhO) 2026 held in Bucaramanga, Colombia, with all five Indian participants winning Gold Medals. 🏆 India finishes Joint World Rank #1 alongside China, Kazakhstan, Russia, South Korea, and Taiwan, among 381 students from 87 countries. 🌟 Our Gold Medalists: • Kanishk Jain — Pune, Maharashtra • Riddhesh Anant Bendale — Indore, Madhya Pradesh • Rishit Garg — Dwarka, New Delhi • Shresth Suraiya — Mumbai, Maharashtra • Svarit Joshi — Ahmedabad, Gujarat This marks India's 27th appearance at the International Physics Olympiad, and the nation's excellence continues to shine. For the last 10 years, every Indian participant has returned home with either a Gold or Silver Medal—a remarkable testament to consistent dedication and talent. Heartiest congratulations once again.

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⚡️ ELECTROSTATICS — FORMULA SHEET 🔹 Coulomb's Law F = k(q₁q₂)/r² where, k = 1/4πϵ₀ q₁, q₂ = Charges r = Distance between charges 🔹 Electric Field E = F/q 🔹 Electric Field Due to a Point Charge E = kQ/r² 🔹 Force on a Charge F = qE 🔹 Electric Potential V = W/q 🔹Potential Due to a Point Charge V = kQ/r 🔹 Potential Energy of Two Charges U = k(q₁q₂)/r 🔹 Electric Dipole Moment p = q × d where, d = Separation between charges 🔹 Torque on an Electric Dipole τ = pE sinθ 🔹 Potential Energy of a Dipole U = −pE cosθ 🔹 Electric Flux Φ = EA cosθ 🔹 Gauss's Law Φ = Q_enclosed/ϵ₀ 🔹 Relation Between Electric Field & Potential E = −dV/dr ⚡️ OLYMPIAD FACTS ✓ Like charges repel, unlike charges attract. ✓ Electric field is a vector quantity. ✓ Electric potential is a scalar quantity. ✓ Electric field lines never intersect. ✓ The electric field inside a conductor in electrostatic equilibrium is zero. 🎯 MUST REMEMBER F = k(q₁q₂)/r² E = kQ/r² F = qE V = kQ/r U = k(q₁q₂)/r p = qd τ = pE sinθ Φ = EA cosθ Φ = Q/ϵ₀ These are the most frequently used Electrostatics formulas in Olympiad, JEE, and NEET problems.

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