Edexcel International A Level XPH11/YPH11

🔭 Edexcel International A Level Physics Formula Sheet 2026

Mechanics, wave, electricity, fields and quantum equations aligned to the Edexcel XPH11/YPH11 syllabus, ready for Units 1–6 practice.

Mechanics Electricity Fields Quantum

Our formula sheets are free to download — save this one as PDF for offline revision.

Aligned with the latest 2026 syllabus and board specifications. This sheet is prepared to match your exam board’s official specifications for the 2026 exam series.

Core Physics Equations with Application Notes

Use this organised sheet to recall definitions, constants and relationships quickly. Pair each formula with the conditions of use so you can explain assumptions clearly in structured questions.

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Mechanics & materials constants at a glance

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Wave and quantum relationships grouped

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Electric circuits and field equations

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Thermal & nuclear data with context

Mechanics & materials

Kinematics, dynamics, work, energy, momentum, and elasticity.

SUVAT (constant a)

s, u, v, a, t.

v = u + a t
s = u t + ½ a t²
v² = u² + 2 a s
s = ½ (u + v) t

Newton’s second law

Net force.

Σ F = m a

Weight

g local gravitational field strength.

W = m g

Momentum

p = m v; vector quantity.

p = m v

Impulse

From constant F.

Impulse = F Δt = Δp

Work done

θ angle between F and displacement s.

W = F s cos θ

Kinetic energy

E_k = ½ m v²

Gravitational potential (uniform field approx.)

ΔE_p = m g Δh

Power

P = W / t
P = F v

Hooke’s law

k stiffness, x extension from natural length.

F = k x

Elastic energy

E_e = ½ k x²

Stress & strain

A cross-sectional area, L original length.

stress = F / A
strain = ΔL / L

Young modulus

E = stress / strain

Density

ρ = m / V

Topic Focus

Problem solving

  • Draw labelled diagrams before equations; state a positive direction for linear motion.
  • For collisions, consider conservation of momentum with a clear system boundary.

Waves & optics

Progressive waves, superposition, refraction, diffraction.

Wave speed

v = f λ

Period

T = 1 / f

Snell’s law

n₁ sin θ₁ = n₂ sin θ₂

Critical angle

sin C = n₂ / n₁ (n₁ > n₂, ray from denser)

Diffraction grating

d spacing, n order.

d sin θ = n λ

Stationary waves

String length L, harmonics.

f_n = n v / (2 L) (fixed ends, n = 1, 2, …)

Topic Focus

Superposition

  • Path difference = nλ constructive; (n + ½)λ destructive (depending on phase rules).
  • Refraction bends towards normal when entering slower (higher n) medium.

Electricity & DC circuits

Potential, current, resistance, capacitors in DC.

Definitions

I = Q / t
V = W / Q
P = V I

Ohm’s law

V = I R

Resistors in series

R = R₁ + R₂ + …

Resistors in parallel

1/R = 1/R₁ + 1/R₂ + …

Potential divider

V_out = V_in × R₂ / (R₁ + R₂)

EMF & internal resistance

ε = I (R + r)

Capacitance

C = Q / V

Energy stored (capacitor)

E = ½ Q V = ½ C V²

RC charge (asymptotic)

Time constant τ = R C.

Q = Q_max (1 − e^(−t/τ))

Topic Focus

Circuits

  • Kirchhoff: junction rule (current), loop rule (voltages).
  • Internal resistance reduces terminal pd under load.

Fields (gravitational & electric)

Force, field strength, potential, and circular orbits.

Newton’s gravitation

Point/spherical masses.

F = G m₁ m₂ / r²

Gravitational field strength

g = F / m = G M / r²

Orbital speed (circular)

Central force = gravity.

v = √(G M / r)

Coulomb’s law

F = (1 / 4π ε₀) Q₁ Q₂ / r²

Electric field strength

E = F / Q
E = V / d (uniform field)

Force on charge in field

F = Q E

Point charge field

E = (1 / 4π ε₀) Q / r²

Topic Focus

Inverse-square laws

  • Field lines show direction a positive test charge/mass would move.
  • Equipotentials cut field lines at right angles.

Magnetic fields & induction

Force on charges and currents; Faraday’s and Lenz’s laws.

Force on current

F = B I L sin θ

Force on moving charge

F = B Q v sin θ

Flux (uniform B, area A)

Φ = B A cos θ

Faraday’s law

ε = − dΦ / dt (N turns: ε = − N dΦ/dt)

Transformer (ideal)

V_p / V_s = N_p / N_s

Topic Focus

Fleming’s rules

  • Use consistent left-hand (motor) / right-hand (generator) conventions as your specification states.
  • Lenz’s law gives the sign opposing the change producing the emf.

Thermal & ideal gases

Heat capacities, kinetic model, and equation of state.

Ideal gas equation

p V = n R T

Kinetic theory mean KE

Monatomic ideal gas.

E_k,mean = 3/2 k T (per molecule)

Specific heat

Q = m c ΔT

Latent heat

Q = m L

Topic Focus

Assumptions

  • Kelvin temperature for gas law; absolute zero interpretation via kinetic model.
  • Distinguish heat, work, and internal energy in First Law contexts.

Nuclear & quantum

Decay, half-life, photon energy, de Broglie.

Radioactive decay

N = N₀ e^(−λ t)

Half-life

t½ = ln 2 / λ

Activity

A = λ N

Photon energy

E = h f = h c / λ

de Broglie wavelength

λ = h / p

Einstein mass–energy

E = m c²

Topic Focus

Conservation

  • Mass–energy, charge, baryon/lepton number (as required by your option).
  • Half-life is independent of initial amount for a given isotope.

Simple harmonic motion & astrophysics

Oscillations and basic cosmology relationships.

SHM acceleration

x displacement from equilibrium.

a = − ω² x

SHM period (spring)

T = 2π √(m / k)

SHM period (simple pendulum)

T = 2π √(L / g)

Hubble’s law

v = H₀ d

Topic Focus

Oscillations

  • Energy swaps between kinetic and potential; maximum speed at equilibrium.
  • Light damping: amplitude decays exponentially over time.

How to Use This Formula Sheet

Boost your Cambridge exam confidence with these proven study strategies from our tutoring experts.

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State Assumptions

Before using formulas, note key assumptions (uniform field, negligible air resistance, ideal gas) to gain method and explanation marks.

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Track Units Carefully

Convert to SI units (m, kg, s) before substitution. Include unit in the final answer to avoid losing accuracy marks.

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Sketch Diagrams Fast

Draw quick field, circuit or wave diagrams to confirm direction and sign conventions before calculating.

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Link Maths to Physics

When using calculus or logarithms (e.g., decay, SHM), explain the physical behaviour to earn reasoning marks.

Formula sheet FAQ

Quick answers about this free PDF, how to use it for exam revision, and how it relates to your official syllabus.

Is the Edexcel International A Level Physics Formula Sheet 2026 free to download as a PDF?

Yes. This Tutopiya formula sheet is free to use and you can download it as a PDF from this page for offline revision. There is no payment or account required for the PDF download.

What Physics topics and equations does this formula sheet cover?

This page groups key Physics formulas in one place for revision. Edexcel International A Level Physics (XPH11/YPH11) formula sheet for 2026. Mechanics, electricity, fields, thermal, wave and quantum relationships collated with examiner reminders. Always cross-check with your official syllabus and past papers for your exam session.

Can I use this instead of the official exam formula booklet in the exam?

No. In the exam you must follow only what your exam board allows in the hall—usually the official formula booklet or data sheet where provided. This page is a revision and teaching aid, not a replacement for board-issued materials.

Who is this formula sheet for (Upper Secondary)?

It is written for students preparing for assessments at Upper Secondary in Physics, including classroom revision, homework support, and independent study. Teachers and tutors can also share it as a quick reference.

How should I revise with this formula sheet?

Work through past paper questions, quote the correct formula before substituting values, and check units and notation every time. Pair this sheet with timed practice and mark schemes so you see how examiners expect working to be set out.

Where can I get more help with Physics revision?

Explore Tutopiya’s study tools, past paper finder, and revision checklists linked from our tools hub, or book a trial lesson with a subject specialist for personalised support alongside this formula reference.

Accelerate Your A Level Physics Mastery

Work through challenging Edexcel-style problems with tutors who highlight where to apply each equation and how to present full-credit explanations.

Formulas follow Edexcel International AS & A Level Physics (XPH11/YPH11) data booklet conventions.

Carry constants: h = 6.63×10⁻³⁴ J s, e = 1.60×10⁻¹⁹ C, c = 3.00×10⁸ m s⁻¹, R = 8.31 J mol⁻¹ K⁻¹.