Summary Physics formula sheet

JEE PHYSICS
COMPREHENSIVE FORMUL A HANDBOOK


Ebook Edition




Compiled from structured high-yield revision notes




JEE Physics Formula Handbook 1

, Chapter 1: Electrostatics ( स्थिरवैद्यु तिकी)

1. Basic Principles & Coulomb's Law

• Quantization of Charge: q = ±ne
• Coulomb's Force: F = (πε₀) · (q₁q₂ / r²)

• Position of Equilibrium (x):


x = √q₁ / (√q₁ + √q₂) · r


• For Equilibrium of third charge: q = -q₁q₂ / (√q₁ + √q₂)²

• Note: विद्युत क्षेत्र एक स दिश रा श है (Electric Field is a vector quantity).


2. Charge Densities

Linear Charge Density (λ) Surface Charge Density (σ) Volume Charge Density (ρ)

λ = q / l = dq / dl σ = q / A = q / πr² ρ = q / V = q / ((4/3)πr³)



3. Electric Field Intensity due to Continuous Charge Distributions

A. Uniformly Charged Ring (समरूप आवे शित वलय)

• At an Axial Point (अक्षीय स्थि ति पर):


Eअक्षीय = Kqx / (R² + x²)3/2 [यहाँ q = λ · 2πR]


◦ If x << R: E
अक्षीय = Kqx / R³ = λx / 2ε₀R²

• At the Center (केन्द्र पर): E = 0
• Maximum Electric Field Intensity (अ धिकतिम वद्युति क्षेत्र की तिीव्रतिा):


x = ± R / √2


B. Ring Segment / Arc (वलय का खण्ड)


E = (2Kλ / R) · sin(α / 2) [यहाँ λ = q / (Rα)]




JEE Physics Formula Handbook 2