Skip to main content
Last updated 14 min read

Class 12 Physics Formulas: Complete Chapter-Wise List

Every Class 12 Physics formula, chapter by chapter, from the 14 NCERT chapters: electrostatics, current, magnetism, EMI, optics and modern physics.

This is the complete Class 12 Physics formula list, chapter by chapter, following the 14 chapters of the NCERT textbooks that CBSE and many state boards use. Rows marked “not in CBSE 2026-27” are topics CBSE no longer assesses in the Board exam; other boards and entrance exams may still use them.

Chapter 1: Electric Charges and Fields

FormulaDescription
F = kq₁q₂/r², k = 1/4πε₀ ≈ 9 × 10⁹ N m²/C²Coulomb's law
E = F/q = kQ/r²Electric field due to a point charge
p = q × 2aDipole moment (charges ±q, separation 2a)
E (axial) = 2kp/r³Dipole field on the axis (r ≫ a)
E (equatorial) = kp/r³Dipole field on the equatorial line (r ≫ a), opposite to p
τ = pE sinθTorque on a dipole in a uniform field
Φ = ∮E·dA = q_enclosed/ε₀Gauss's law
E = λ/2πε₀rInfinitely long straight wire (linear charge density λ)
E = σ/2ε₀Infinite plane sheet of charge
E = kQ/r² outside, 0 insideThin spherical shell of charge Q

Chapter 2: Electrostatic Potential and Capacitance

FormulaDescription
V = kQ/rPotential due to a point charge
V = kp cosθ / r²Potential due to a dipole
E = −dV/drField from potential
W = qΔVWork done moving a charge
U = kq₁q₂/rPotential energy of two point charges
U = −pE cosθPotential energy of a dipole in a uniform field
C = Q/VCapacitance
C = ε₀A/d; with dielectric C = Kε₀A/dParallel plate capacitor (K = dielectric constant)
Series: 1/C = 1/C₁ + 1/C₂ + …Capacitors in series
Parallel: C = C₁ + C₂ + …Capacitors in parallel
U = ½CV² = ½QV = Q²/2CEnergy stored in a capacitor (formulae only in CBSE)

Chapter 3: Current Electricity

FormulaDescription
I = neAv_dCurrent and drift velocity
v_d = eEτ/m; mobility μ = v_d/EDrift velocity and mobility
V = IR; R = ρl/A; conductivity σ = 1/ρOhm's law, resistivity and conductivity
ρ = ρ₀[1 + α(T − T₀)]Temperature dependence of resistivity
P = VI = I²R = V²/RElectric power
ε = V + Iremf, terminal voltage and internal resistance
Series cells: ε = ε₁ + ε₂, r = r₁ + r₂Cells in series
Parallel cells: ε = (ε₁r₂ + ε₂r₁)/(r₁ + r₂), r = r₁r₂/(r₁ + r₂)Cells in parallel
ΣI = 0 at a junction; Σε = ΣIR round a loopKirchhoff's rules
P/Q = R/SBalanced Wheatstone bridge

Apply these formulas in practice

Super Tutor has chapter-wise Class 12 Physics practice quizzes, so you apply every formula with instant feedback.

Start free

Chapter 4: Moving Charges and Magnetism

FormulaDescription
F = q(v × B); |F| = qvB sinθForce on a moving charge
r = mv/qBRadius of circular motion in a uniform field
F = I(l × B); |F| = BIl sinθForce on a current-carrying conductor
dB = (μ₀/4π) I dl sinθ / r²Biot–Savart law
B = μ₀I/2RField at the centre of a circular loop
∮B·dl = μ₀I; B = μ₀I/2πrAmpere's law; long straight wire
B = μ₀nIInside a long solenoid (qualitative only in CBSE)
F/l = μ₀I₁I₂/2πdForce between two parallel currents (defines the ampere)
m = NIA; τ = NIAB sinθMagnetic moment of a loop and torque on it
Shunt S = I_gG/(I − I_g)Galvanometer to ammeter
Series R = V/I_g − GGalvanometer to voltmeter

Chapter 5: Magnetism and Matter

FormulaDescription
χ = M/HMagnetic susceptibility (M = magnetisation)
μᵣ = 1 + χRelative permeability
B (axial) = (μ₀/4π) 2m/r³; B (equatorial) = (μ₀/4π) m/r³Field of a bar magnet. CBSE 2026-27 treats this qualitatively only

Chapter 6: Electromagnetic Induction

FormulaDescription
Φ = BA cosθMagnetic flux
ε = −N dΦ/dtFaraday's law (the minus sign is Lenz's law)
ε = BlvMotional emf
ε = −L dI/dt; NΦ = LISelf-induction
M = μ₀n₁n₂AlMutual inductance of two long coaxial solenoids
U = ½LI²Energy stored in an inductor

Chapter 7: Alternating Current

FormulaDescription
I_rms = I₀/√2; V_rms = V₀/√2RMS values
X_L = ωL; X_C = 1/ωCInductive and capacitive reactance (ω = 2πf)
Z = √(R² + (X_L − X_C)²); tanφ = (X_L − X_C)/RSeries LCR impedance and phase
ω₀ = 1/√(LC); f₀ = 1/(2π√(LC))Resonance
P = V_rms I_rms cosφ; power factor cosφ = R/ZAverage power
ε = NBAω sinωtemf of an AC generator
V_s/V_p = N_s/N_p = I_p/I_sIdeal transformer

Chapter 8: Electromagnetic Waves

FormulaDescription
I_d = ε₀ dΦ_E/dtDisplacement current
c = 1/√(μ₀ε₀); c = νλSpeed of EM waves in vacuum
E₀ = cB₀Field amplitudes

Chapter 9: Ray Optics and Optical Instruments

FormulaDescription
1/v + 1/u = 1/f; f = R/2Mirror formula
m = −v/uMagnification (mirror)
n₁ sinθ₁ = n₂ sinθ₂Snell's law
sinC = 1/nCritical angle (denser medium to air)
n₂/v − n₁/u = (n₂ − n₁)/RRefraction at a spherical surface
1/v − 1/u = 1/f; m = v/uThin lens formula and magnification
1/f = (n − 1)(1/R₁ − 1/R₂)Lens maker's formula
P = 1/f (f in metres); P = P₁ + P₂Power, and thin lenses in contact
n = sin[(A + D_m)/2] / sin(A/2)Prism at minimum deviation
m ≈ (L/f_o)(D/f_e)Compound microscope, final image at infinity
m = f_o/f_eAstronomical telescope, normal adjustment

Chapter 10: Wave Optics

FormulaDescription
β = λD/dFringe width in Young's double-slit experiment (final expression only in CBSE)
Bright: path difference = nλ; dark: (2n − 1)λ/2Interference conditions
Minima: a sinθ = nλ; central maximum width ≈ 2λD/aSingle-slit diffraction (qualitative in CBSE)
I = I₀ cos²θ; tanθ_p = nMalus's and Brewster's laws. Not in CBSE 2026-27

Chapter 11: Dual Nature of Radiation and Matter

FormulaDescription
E = hν = hc/λEnergy of a photon
K_max = hν − φ₀ = eV₀Einstein's photoelectric equation; V₀ = stopping potential
ν₀ = φ₀/hThreshold frequency
λ = h/p = h/mv = h/√(2mK)de Broglie wavelength

Chapter 12: Atoms

Formula (hydrogen-like atom)Description
mvr = nh/2πBohr's quantisation condition
rₙ = 0.53 n²/Z ÅRadius of the nth orbit
vₙ ≈ 2.2 × 10⁶ Z/n m/sSpeed in the nth orbit
Eₙ = −13.6 Z²/n² eVEnergy of the nth orbit
1/λ = RZ²(1/n₁² − 1/n₂²)Spectral lines (qualitative in CBSE)

Chapter 13: Nuclei

FormulaDescription
R = R₀A^(1/3), R₀ ≈ 1.2 fmNuclear radius
Δm = [Zm_p + (A − Z)m_n] − MMass defect
E = mc²; BE = Δm × 931.5 MeV (Δm in u)Binding energy
N = N₀e^(−λt); T½ = 0.693/λ; τ = 1/λ; A = λNRadioactive decay. Not in CBSE 2026-27

Chapter 14: Semiconductor Electronics

Formula / factDescription
n_e · n_h = n_i²Carrier concentrations in a semiconductor at equilibrium
Half-wave rectifier: output frequency = input frequency; full-wave: twice the input frequencyDiode as a rectifier

Formulas are from the NCERT Class 12 Physics textbooks. Notes on what is and isn't assessed, and the unit marks, follow CBSE's 2026-27 syllabus; other boards differ, so check your own board's syllabus.

Turn this into exam marks

Super Tutor gives you chapter summaries, revision notes, practice quizzes and an AI doubt solver matched to your board syllabus — so you revise smarter, not longer.

Start free

Frequently Asked Questions

How many formulas are there in Class 12 Physics?

It depends on how you count them. The formula-heavy chapters are Electric Charges and Fields, Electrostatic Potential and Capacitance, Current Electricity, Moving Charges and Magnetism, Alternating Current and Ray Optics. Knowing how each formula is derived makes it much easier to recall in the exam.

In CBSE's 2026-27 course structure the 70-mark theory paper is split as: Electrostatics and Current Electricity 16, Magnetic Effects of Current, Magnetism, EMI and AC 17, EM Waves and Optics 18, Dual Nature, Atoms and Nuclei 12, and Electronic Devices 7. Practicals carry another 30 marks.

No. CBSE does not provide a formula sheet, so you need to know the standard formulas. In derivation questions, examiners mark your steps, so a correct method earns marks even if you slip later on.

(1) Derive each formula at least once. (2) Group related formulas, such as all capacitor formulas. (3) Solve a few numericals with each formula. (4) Keep a formula sheet and revise it daily. (5) Check units: if the dimensions don't match, the formula is wrong.

They are the NCERT foundation both exams build on, but JEE Main and NEET also test Class 11 Physics and ask harder applications. Some topics CBSE has dropped from its board syllabus may still appear in those exams, so check NTA's current syllabus for each exam.