Free forever Calculate score
AP Physics 2 · Reference

AP Physics 2 equation sheet every formula by topic.

Here is the full AP Physics 2 equation sheet, organized by topic from fluids to modern physics. The College Board gives you this reference for both sections on exam day, so the goal is to know what each formula does, not to memorize it.

Updated June 2026Part of AP Physics 2 Review

Is the equation sheet provided on the AP Physics 2 exam?

Yes. The official AP Physics 2 equation sheet is available for both the multiple-choice and free-response sections, so you never have to recall a formula from memory. The exam instead tests whether you can pick the right relationship and explain why it applies.

The sheet is the same mechanics reference used for AP Physics 1, plus all the equations for the topics unique to Physics 2 — fluids, thermodynamics, electricity and magnetism, optics, and modern physics. The version below is grouped by those topics so each formula connects to the unit it belongs to.

The AP Physics 2 equation sheet, by topic

Every relationship you are given on test day, with a plain-language note on when to use it.

Fluids

ρ = m/V
Density: mass per unit volume.
P = P0 + ρgh
Pressure at depth in a fluid.
Fb = ρfluidVdispg
Buoyant force (Archimedes’ principle).
A1v1 = A2v2
Continuity: flow rate stays constant.
P + ½ρv2 + ρgy = constant
Bernoulli’s equation along a streamline.

Thermodynamics

PV = nRT
Ideal gas law.
Kavg = (3/2)kBT
Average kinetic energy of a molecule.
ΔU = Q + W
First law of thermodynamics.
e = Wnet/QH
Efficiency of a heat engine.
ec = 1 − TC/TH
Maximum (Carnot) efficiency.

Electric force, field & potential

FE = kq1q2/r2
Coulomb’s law.
E = F/q = kq/r2
Electric field.
UE = kq1q2/r
Electric potential energy.
V = kq/r
Electric potential.
E = −ΔV/Δr
Field from a change in potential.

Electric circuits

I = ΔQ/Δt
Electric current.
R = ρL/A
Resistance of a wire.
V = IR
Ohm’s law.
P = IV = I2R = V2/R
Electrical power.
C = Q/V = κε0A/d
Capacitance.
UC = ½QV = ½CV2
Energy stored in a capacitor.

Magnetism & induction

F = qvB·sinθ
Magnetic force on a moving charge.
F = BIL·sinθ
Force on a current-carrying wire.
ΦB = BA·cosθ
Magnetic flux.
ε = −ΔΦB/Δt
Faraday’s law of induction.
ε = BLv
Motional EMF.

Geometric & physical optics

n = c/v
Index of refraction.
n1sinθ1 = n2sinθ2
Snell’s law of refraction.
sinθc = n2/n1
Critical angle for total internal reflection.
1/so + 1/si = 1/f
Thin-lens and mirror equation.
M = −si/so
Magnification.

Modern physics

E = hf = hc/λ
Energy of a photon.
Kmax = hf − φ
Photoelectric effect.
λ = h/p
de Broglie wavelength.
E = mc2
Mass–energy equivalence.
E2 = (pc)2 + (mc2)2
Relativistic energy.

Constants provided on the sheet

k = 8.99 × 109 N·m2/C2
Coulomb’s constant.
ε0 = 8.85 × 10−12 C2/(N·m2)
Permittivity of free space.
kB = 1.38 × 10−23 J/K
Boltzmann’s constant.
h = 6.63 × 10−34 J·s
Planck’s constant.
c = 3.0 × 108 m/s
Speed of light.

How the Physics 1 and Physics 2 sheets differ

The two sheets share the same mechanics, constants, and geometry. The Physics 2 sheet then adds everything you see above — fluids, thermodynamics, the full electricity and magnetism set, optics, and modern physics — because those are the topics the Physics 2 course covers and the Physics 1 course does not.

How to use the equation sheet

Treat the sheet as a map, not a crutch. In your studying, practice naming which equation fits a situation and why, because that judgment is exactly what the multiple-choice and free-response questions test. Learning the layout also saves real time on exam day.

When you want to turn a practice raw score into a 1–5, our score calculator does it, and the FRQ guide shows how to use these formulas in a written response.

Frequently asked questions

Quick answers — written by humans, not a chatbot.

Is the AP Physics 2 equation sheet provided on the exam?

Yes — it is available for both the multiple-choice and free-response sections, so you do not have to memorize the formulas.

What is the difference between the Physics 1 and Physics 2 equation sheets?

They share the mechanics and constants. The Physics 2 sheet adds fluids, thermodynamics, electricity and magnetism, optics, and modern physics.

Do I need to memorize formulas for AP Physics 2?

Not the formulas themselves, since they are given. You do need to know which one applies, what each symbol means, and how to justify your choice.

Can I use the equation sheet on the free-response section?

Yes. The same reference is available for both sections of the exam.

What topics are on the AP Physics 2 equation sheet?

Fluids, thermodynamics, electric force and field, circuits, magnetism and induction, optics, and modern physics, plus constants and geometry.

Related

Keep going.

Scroll to Top