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PHYS-011,240 Equations

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Mechanics, Electrodynamics, Modern Physics, Wave Optics, and Thermal Physics complete derivation chains.

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CHEM-021,080 Equations

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Most Used Formulas

Instant reference with dimensional variables

Formula Quick-Deck
JEE ADV
F = k · (|q₁q₂| / r²)

Coulomb's Law

Electrostatics • Vector Force

k = 1/(4πε₀) ≈ 8.99×10⁹ N·m²/C²
18 PYQs
HIGH YIELD
Wₙₑₜ = ΔK = ½m(vf² - vi²)

Work-Energy Theorem

Mechanics • Conservative

Valid in all frames with pseudo work
31 PYQs
MATHS
x = (-b ± √Δ) / 2a

Quadratic Roots

Algebra • Discriminant

Δ = b² - 4ac; Δ < 0 ⇒ Complex Conj.
14 PYQs
CHEMISTRY
(P + an²/V²)(V - nb) = nRT

Van der Waals Real Gas

States of Matter

a = attraction force, b = volume
22 PYQs
MODERN PHY
λ = h / p = h / √(2mE)

De Broglie Wavelength

Dual Nature • Matter Waves

Electron: λ ≈ 12.27 / √V Å
27 PYQs

Because you completed Electrostatics Module 03

98% Match for your upcoming Mock Test
E = -∇V
Line Integral Path
42 FORMULAS CHEATSHEET

Electrostatics Master Sheet

All field equations, dipole potentials, and self-energy derivations.

C = ε₀A / (d - t + t/K)
Dielectric Slab
18 FORMULAS

Capacitor & Dielectrics

Series-parallel boundary conditions and energy density equations.

Φ = ∮ E·dA = qenc/ε₀
Symmetry Closed
12 CORE PROOFS

Gauss's Law & Flux

Cylindrical, spherical and planar charge distributions.

Vᵢₙₙₑᵣ = Vₒᵤₜₑᵣ
Earthing Boundary
JEE TRAP SPECIAL

Spherical Shells Trap

Concentric shells charge redistribution and induced potentials.

U = -p·E
τ = p × E
15 DERIVATIONS

Dipole in Non-Uniform

F = (p · ∇)E force equations and stable oscillation frequencies.

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Deep Dive: Electric Dipole Field

AXIAL POSITION (θ = 0°)
Eaxis = (2kp) / r³
EQUATORIAL POSITION (θ = 90°)
Eequatorial = - (kp) / r³
Examiner Trap Notice

Notice that E_axial and E_equatorial have an inverse cubic (1/r³) relationship, NOT inverse square (1/r²). Furthermore, the equatorial field vector points anti-parallel to the dipole moment vector p.

▶ Watch Lecture Chapter
Notation & Variable Topology
pDipole Moment (q · 2a) [C·m]
rRadial distance to center [m]
k1 / (4πε₀) [N·m²/C²]
E_net(kp/r³) · √(1 + 3cos²θ)