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
| Formula | Description |
|---|---|
| F = kq₁q₂/r², k = 1/4πε₀ ≈ 9 × 10⁹ N m²/C² | Coulomb's law |
| E = F/q = kQ/r² | Electric field due to a point charge |
| p = q × 2a | Dipole moment (charges ±q, separation 2a) |
| E (axial) = 2kp/r³ | Dipole field on the axis (r ≫ a) |
| E (equatorial) = kp/r³ | Dipole field on the equatorial line (r ≫ a), opposite to p |
| τ = pE sinθ | Torque on a dipole in a uniform field |
| Φ = ∮E·dA = q_enclosed/ε₀ | Gauss's law |
| E = λ/2πε₀r | Infinitely long straight wire (linear charge density λ) |
| E = σ/2ε₀ | Infinite plane sheet of charge |
| E = kQ/r² outside, 0 inside | Thin spherical shell of charge Q |
Chapter 2: Electrostatic Potential and Capacitance
| Formula | Description |
|---|---|
| V = kQ/r | Potential due to a point charge |
| V = kp cosθ / r² | Potential due to a dipole |
| E = −dV/dr | Field from potential |
| W = qΔV | Work done moving a charge |
| U = kq₁q₂/r | Potential energy of two point charges |
| U = −pE cosθ | Potential energy of a dipole in a uniform field |
| C = Q/V | Capacitance |
| C = ε₀A/d; with dielectric C = Kε₀A/d | Parallel 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 = Q²/2C | Energy stored in a capacitor (formulae only in CBSE) |
Chapter 3: Current Electricity
| Formula | Description |
|---|---|
| I = neAv_d | Current and drift velocity |
| v_d = eEτ/m; mobility μ = v_d/E | Drift velocity and mobility |
| V = IR; R = ρl/A; conductivity σ = 1/ρ | Ohm's law, resistivity and conductivity |
| ρ = ρ₀[1 + α(T − T₀)] | Temperature dependence of resistivity |
| P = VI = I²R = V²/R | Electric power |
| ε = V + Ir | emf, terminal voltage and internal resistance |
| Series cells: ε = ε₁ + ε₂, r = r₁ + r₂ | Cells 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 loop | Kirchhoff's rules |
| P/Q = R/S | Balanced Wheatstone bridge |
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Start freeChapter 4: Moving Charges and Magnetism
| Formula | Description |
|---|---|
| F = q(v × B); |F| = qvB sinθ | Force on a moving charge |
| r = mv/qB | Radius of circular motion in a uniform field |
| F = I(l × B); |F| = BIl sinθ | Force on a current-carrying conductor |
| dB = (μ₀/4π) I dl sinθ / r² | Biot–Savart law |
| B = μ₀I/2R | Field at the centre of a circular loop |
| ∮B·dl = μ₀I; B = μ₀I/2πr | Ampere's law; long straight wire |
| B = μ₀nI | Inside a long solenoid (qualitative only in CBSE) |
| F/l = μ₀I₁I₂/2πd | Force between two parallel currents (defines the ampere) |
| m = NIA; τ = NIAB sinθ | Magnetic moment of a loop and torque on it |
| Shunt S = I_gG/(I − I_g) | Galvanometer to ammeter |
| Series R = V/I_g − G | Galvanometer to voltmeter |
Chapter 5: Magnetism and Matter
| Formula | Description |
|---|---|
| χ = M/H | Magnetic susceptibility (M = magnetisation) |
| μᵣ = 1 + χ | Relative permeability |
| B (axial) = (μ₀/4π) 2m/r³; B (equatorial) = (μ₀/4π) m/r³ | Field of a bar magnet. CBSE 2026-27 treats this qualitatively only |
Chapter 6: Electromagnetic Induction
| Formula | Description |
|---|---|
| Φ = BA cosθ | Magnetic flux |
| ε = −N dΦ/dt | Faraday's law (the minus sign is Lenz's law) |
| ε = Blv | Motional emf |
| ε = −L dI/dt; NΦ = LI | Self-induction |
| M = μ₀n₁n₂Al | Mutual inductance of two long coaxial solenoids |
| U = ½LI² | Energy stored in an inductor |
Chapter 7: Alternating Current
| Formula | Description |
|---|---|
| I_rms = I₀/√2; V_rms = V₀/√2 | RMS values |
| X_L = ωL; X_C = 1/ωC | Inductive and capacitive reactance (ω = 2πf) |
| Z = √(R² + (X_L − X_C)²); tanφ = (X_L − X_C)/R | Series LCR impedance and phase |
| ω₀ = 1/√(LC); f₀ = 1/(2π√(LC)) | Resonance |
| P = V_rms I_rms cosφ; power factor cosφ = R/Z | Average power |
| ε = NBAω sinωt | emf of an AC generator |
| V_s/V_p = N_s/N_p = I_p/I_s | Ideal transformer |
Chapter 8: Electromagnetic Waves
| Formula | Description |
|---|---|
| I_d = ε₀ dΦ_E/dt | Displacement current |
| c = 1/√(μ₀ε₀); c = νλ | Speed of EM waves in vacuum |
| E₀ = cB₀ | Field amplitudes |
Chapter 9: Ray Optics and Optical Instruments
| Formula | Description |
|---|---|
| 1/v + 1/u = 1/f; f = R/2 | Mirror formula |
| m = −v/u | Magnification (mirror) |
| n₁ sinθ₁ = n₂ sinθ₂ | Snell's law |
| sinC = 1/n | Critical angle (denser medium to air) |
| n₂/v − n₁/u = (n₂ − n₁)/R | Refraction at a spherical surface |
| 1/v − 1/u = 1/f; m = v/u | Thin lens formula and magnification |
| 1/f = (n − 1)(1/R₁ − 1/R₂) | Lens maker's formula |
| P = 1/f (f in metres); P = P₁ + P₂ | Power, 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_e | Astronomical telescope, normal adjustment |
Chapter 10: Wave Optics
| Formula | Description |
|---|---|
| β = λD/d | Fringe width in Young's double-slit experiment (final expression only in CBSE) |
| Bright: path difference = nλ; dark: (2n − 1)λ/2 | Interference conditions |
| Minima: a sinθ = nλ; central maximum width ≈ 2λD/a | Single-slit diffraction (qualitative in CBSE) |
| I = I₀ cos²θ; tanθ_p = n | Malus's and Brewster's laws. Not in CBSE 2026-27 |
Chapter 11: Dual Nature of Radiation and Matter
| Formula | Description |
|---|---|
| E = hν = hc/λ | Energy of a photon |
| K_max = hν − φ₀ = eV₀ | Einstein's photoelectric equation; V₀ = stopping potential |
| ν₀ = φ₀/h | Threshold frequency |
| λ = h/p = h/mv = h/√(2mK) | de Broglie wavelength |
Chapter 12: Atoms
| Formula (hydrogen-like atom) | Description |
|---|---|
| mvr = nh/2π | Bohr's quantisation condition |
| rₙ = 0.53 n²/Z Å | Radius of the nth orbit |
| vₙ ≈ 2.2 × 10⁶ Z/n m/s | Speed in the nth orbit |
| Eₙ = −13.6 Z²/n² eV | Energy of the nth orbit |
| 1/λ = RZ²(1/n₁² − 1/n₂²) | Spectral lines (qualitative in CBSE) |
Chapter 13: Nuclei
| Formula | Description |
|---|---|
| R = R₀A^(1/3), R₀ ≈ 1.2 fm | Nuclear radius |
| Δm = [Zm_p + (A − Z)m_n] − M | Mass defect |
| E = mc²; BE = Δm × 931.5 MeV (Δm in u) | Binding energy |
| N = N₀e^(−λt); T½ = 0.693/λ; τ = 1/λ; A = λN | Radioactive decay. Not in CBSE 2026-27 |
Chapter 14: Semiconductor Electronics
| Formula / fact | Description |
|---|---|
| n_e · n_h = n_i² | Carrier concentrations in a semiconductor at equilibrium |
| Half-wave rectifier: output frequency = input frequency; full-wave: twice the input frequency | Diode 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.
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Start freeFrequently 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.
Which Class 12 Physics units carry the most marks?
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.
Are Physics formulas given in the CBSE board exam?
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.
How do I memorise Physics formulas effectively?
(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.
Are these formulas enough for JEE Main and NEET?
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.