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Physics Formulas for Class 12 — Complete Chapter-Wise List

All Physics formulas for Class 12 CBSE — Electrostatics, Current Electricity, Magnetism, Optics, and Modern Physics chapter-wise.

Class 12 Physics has approximately 120–150 key formulas across 14 chapters. This complete chapter-wise list covers every formula you need for CBSE board exams, JEE Main, and NEET 2026. Bookmark and revise daily.

Chapter 1: Electric Charges & Fields

FormulaDescription
F = kq₁q₂/r²Coulomb's law (k = 9 × 10⁹ Nm²/C²)
E = F/q = kQ/r²Electric field due to point charge
E (dipole, axial) = 2kp/r³Field on axis of dipole (r ≫ a)
E (dipole, equatorial) = kp/r³Field on equatorial line of dipole
τ = pE sinθTorque on dipole in uniform field
∮E·dA = q/ε₀Gauss's law
E = σ/2ε₀Field due to infinite plane sheet of charge
E = σ/ε₀Field between two parallel plates

Chapter 2: Electrostatic Potential & Capacitance

FormulaDescription
V = kQ/rPotential due to point charge
V = −∫E·drRelation between V and E
E = −dV/drElectric field from potential
W = qΔVWork done in moving charge
U = kq₁q₂/rPotential energy of two charges
C = Q/VCapacitance definition
C = ε₀A/dParallel plate capacitor
C = ε₀KA/dWith dielectric (K = dielectric constant)
Series: 1/C = 1/C₁ + 1/C₂Capacitors in series
Parallel: C = C₁ + C₂Capacitors in parallel
U = ½CV² = ½QV = Q²/2CEnergy stored in capacitor

Chapter 3: Current Electricity

FormulaDescription
V = IROhm's law
R = ρl/AResistance in terms of resistivity
ρ = ρ₀(1 + αΔT)Temperature dependence of resistivity
Series: R = R₁ + R₂ + R₃Resistors in series
Parallel: 1/R = 1/R₁ + 1/R₂Resistors in parallel
P = VI = I²R = V²/RElectric power
H = I²RtJoule's law of heating
ε = V + IrEMF with internal resistance
Wheatstone: P/Q = R/SBalance condition

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Chapter 4: Moving Charges & Magnetism

FormulaDescription
F = qv × B = qvB sinθForce on moving charge in magnetic field
r = mv/qBRadius of circular motion in B field
F = BIl sinθForce on current-carrying conductor
dB = μ₀Idl sinθ / 4πr²Biot-Savart law
B = μ₀I/2RField at centre of circular loop
B = μ₀nIField inside solenoid (n = turns/length)
∮B·dl = μ₀IAmpere's circuital law
τ = NIAB sinθ = M × BTorque on current loop

Chapter 5: Magnetism & Matter

FormulaDescription
M = m × 2lMagnetic moment of bar magnet
B (axial) = μ₀2M/4πr³Field on axis of bar magnet
B (equatorial) = μ₀M/4πr³Field on equatorial line
χ = M/HMagnetic susceptibility
μᵣ = 1 + χRelative permeability

Chapter 6: Electromagnetic Induction

FormulaDescription
ε = −dΦ/dtFaraday's law of EMI
Φ = BA cosθMagnetic flux
ε = BLvMotional EMF
ε = NBAω sinωtEMF in rotating coil (AC generator)
L = NΦ/ISelf-inductance
ε = −L(dI/dt)Self-induced EMF
U = ½LI²Energy stored in inductor
M = μ₀n₁n₂AlMutual inductance of two solenoids

Chapter 7: Alternating Current

FormulaDescription
Iᵣₘₛ = I₀/√2RMS value of current
Vᵣₘₛ = V₀/√2RMS value of voltage
Xc = 1/ωC = 1/2πfCCapacitive reactance
XL = ωL = 2πfLInductive reactance
Z = √(R² + (XL − Xc)²)Impedance of LCR circuit
tanφ = (XL − Xc)/RPhase angle
f₀ = 1/(2π√LC)Resonant frequency
P = VᵣₘₛIᵣₘₛ cosφAverage power (cosφ = power factor)
Vₛ/Vₚ = Nₛ/NₚTransformer equation

Chapter 9: Ray Optics

FormulaDescription
1/v − 1/u = 1/fMirror formula
m = −v/uMagnification (mirror)
n₁ sinθ₁ = n₂ sinθ₂Snell's law
1/v − 1/u = 1/fLens formula
1/f = (n−1)(1/R₁ − 1/R₂)Lensmaker's equation
P = 1/f (in metres)Power of lens (in dioptres)
P = P₁ + P₂ − dP₁P₂Combination of thin lenses
sinC = 1/nCritical angle for total internal reflection

Chapter 10: Wave Optics

FormulaDescription
β = λD/dFringe width in YDSE
Bright: d sinθ = nλCondition for constructive interference
Dark: d sinθ = (2n−1)λ/2Condition for destructive interference
a sinθ = nλSingle slit diffraction minima
I = I₀ cos²θMalus's law (polarisation)
tanθₚ = nBrewster's law

Chapter 11: Dual Nature of Radiation & Matter

FormulaDescription
E = hν = hc/λEnergy of photon
KEₘₐₓ = hν − φPhotoelectric equation (Einstein)
eV₀ = hν − φStopping potential
ν₀ = φ/hThreshold frequency
λ = h/mv = h/pde Broglie wavelength
λ = h/√(2mKE)de Broglie wavelength from KE

Chapter 12: Atoms

FormulaDescription
rₙ = 0.53n²/Z ÅBohr radius of nth orbit
Eₙ = −13.6Z²/n² eVEnergy of nth orbit
vₙ = 2.18 × 10⁶ Z/n m/sVelocity in nth orbit
1/λ = RZ²(1/n₁² − 1/n₂²)Wavelength of spectral lines

Chapter 13: Nuclei

FormulaDescription
R = R₀A^(1/3)Nuclear radius (R₀ = 1.2 fm)
Δm = Zm_p + (A−Z)m_n − MMass defect
BE = Δm × 931.5 MeVBinding energy
N = N₀e^(−λt)Radioactive decay law
t₁/₂ = 0.693/λHalf-life
τ = 1/λMean life
A = λN = A₀e^(−λt)Activity

Formulas based on CBSE Class 12 Physics syllabus 2025–2026. Also applicable for JEE Main and NEET. Some advanced formulas (not in CBSE but in JEE/NEET) are not included here. Verify with your specific exam syllabus. Last updated: February 2026.

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Frequently Asked Questions

How many formulas are there in Class 12 Physics?

Class 12 Physics has approximately 120–150 key formulas across 14 chapters. The most formula-heavy chapters are Electrostatics (~25 formulas), Current Electricity (~15 formulas), Magnetism (~20 formulas), and Optics (~20 formulas). Understanding the derivation helps you recall formulas during exams.

Electrostatics has the most formulas — Coulomb's law, electric field for various configurations, potential, capacitance, and energy stored. Magnetism (Biot-Savart, Ampere's law, force on conductors) is a close second. These two chapters combined carry 15–20 marks in the board exam.

No, CBSE does not provide a formula sheet. You must memorise all standard formulas. However, for derivation-based questions, the examiner checks your approach and steps, not just the final formula. If you forget a formula but show the correct derivation method, you can still earn partial marks.

Best techniques: (1) Derive each formula at least once — understanding the derivation makes it stick, (2) Group related formulas (e.g., all capacitor formulas together), (3) Practise 5 numerical problems per formula, (4) Create a formula sheet and revise daily, (5) Use dimensional analysis to verify — if units don't match, the formula is wrong.

Beyond board exam formulas, JEE/NEET frequently test: Gauss's law applications, complex circuit problems (Kirchhoff's), electromagnetic induction (Faraday's law applications), and Modern Physics (photoelectric effect, Bohr model, nuclear reactions). These chapters carry 60–70 marks in both exams.