What does this Physics II: Electricity & Magnetism cheat sheet cover?

It has 10 sections: Electrostatics, Gauss's Law, Potential, Capacitance, Current & Resistance, DC Circuits, RC Circuits, Magnetism, Sources & Induction and Inductance & AC-ish. Together they cover the topics a typical Physics II: Electricity & Magnetism exam tests, including Coulomb's law and electric fields, Gauss's law, electric potential and energy and capacitance and dielectrics.

Is the electricity and magnetism formula sheet free?

The first part is free to read on this page, with no account needed. The full sheet opens in the app with Unlimited ($4.99 a month or $19 for a semester), where you can edit it, print it or save it as a PDF. It is one US Letter page and prints cleanly in black and white or colour.

Can I bring this Physics II: Electricity & Magnetism cheat sheet to my exam?

Only if your course allows a note sheet, so check the syllabus. This one is a single US Letter page. If your exam allows a different size, such as a 3x5 or 4x6 index card or one page front and back, Cheat Sheet AI makes one at exactly that size from your own lecture notes.

The sheet was written by our engine from a standard course outline, then a second model fact-checked every formula and statement against it; it corrected 2 statements before publishing. Notation and emphasis vary between courses, so check it against your own lecture notes.

Can I make a Physics II: Electricity & Magnetism sheet from my own notes?

Yes. Upload your lecture slides, notes or study guide and Cheat Sheet AI writes a sheet in your course's notation, sized to exactly the space your exam allows. Your first sheets are free.

Physics & EngineeringPhysics II: Electricity & Magnetism

Electricity and Magnetism Formula Sheet — 1-page PDF

Coulomb, fields, Gauss, potential, circuits, magnetism, induction. The whole course on one dense, printable page for your midterm or final, with every formula typeset and worked examples where they help.

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For a specific exam: Physics II Final exam study sheet.

1 pageUS Letter
10 sections11 topics
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Preview of the one-page Physics II: Electricity & Magnetism cheat sheet: Coulomb, fields, Gauss, potential, circuits, magnetism, induction — the whole course, one page

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What’s on it

The topics a typical Physics II: Electricity & Magnetism exam tests, all on the one page.

Coulomb's law and electric fields
Gauss's law
Electric potential and energy
Capacitance and dielectrics
Current, resistance, Ohm's law
DC circuits, Kirchhoff's rules
RC circuits
Magnetic force and fields
Biot-Savart and Ampère's law
Faraday's law and Lenz's law
Inductance, LC/RLC circuits

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The free part, as text

The free part of the sheet, section by section. Unlock the full sheet to read the rest, edit any block, and print it or save it as a PDF.

01Electrostatics

Coulomb

F_{12} = k \frac{q _{1} q _{2}}{r ^{2}} \overset{r}{^}_{12}

Point charges; $k = \frac{1}{4 π ϵ _{0}}$ ; along line joining charges.

Field

E = \frac{F}{q _{0}}

Force per positive test charge $q_{0}$ ; units $N/C = V/m$ .

Point charge $E$

E = k \frac{q}{r ^{2}} \overset{r}{^}

Outward for $q > 0$ , inward for $q < 0$ .

Superposition

E_{net} = \sum_{i} E_{i}

Vector sum of contributions from all charges.

Electric field lines: Tangent to $E$ ; density $\propto ∣ E ∣$ ; start on $+$ , end on $-$ or infinity.

Continuous charge

d E = k \frac{d q}{r ^{2}} \overset{r}{^}, E = \int d E

Use $d q = λ d l$ , $σ d A$ , or $ρ d V$ .

Ex.Find $E$ from a single $+ Q$ at distance $r$ .

Use $E = k \frac{Q}{r ^{2}} \overset{r}{^}$ ; magnitude $k Q / r^{2}$ , radial outward.

Watch out:Sign trap: $E$ points away from $+$ and toward $-$ ; force on a negative test charge is opposite $E$ .

02Potential

Point charge $V$

V = k \frac{q}{r}

Taking $V (\infty) = 0$ .

Field from $V$

E = - \nabla V

In 1D: $E_{x} = - d V / d x$ .

Equipotential: Surface of constant $V$ ; $E$ is perpendicular to equipotentials.

Work

W_{field} = - Δ U = q (V_{i} - V_{f})

External work quasistatic: $W_{ext} = Δ U$ .

Ex.Charge $q$ moves through potential drop $Δ V = - 12 V$ . Find $Δ U$ .

$Δ U = q Δ V = - 12 q$ ; decreases for $q > 0$ .

Watch out:Potential is a scalar; add potentials algebraically, not vectors.

03Capacitance

Capacitance

C = \frac{Q}{Δ V}

Definition; units $F = C/V$ .

Parallel plate

C = ϵ_{0} \frac{A}{d}

Ignoring fringing; plates area $A$ , separation $d$ .

With dielectric

C = κ ϵ_{0} \frac{A}{d} = κ C_{0}

Fully filled dielectric; $κ$ = dielectric constant.

04Current & Resistance

Ex.Wire doubled in length, same material and area.

$R \to 2 R$ since $R \propto L$ .

Watch out:Don’t confuse microscopic $J$ with circuit current $I$ ; $I = \int J \cdot d A$ .

05DC Circuits

Kirchhoff loop

\sum Δ V = 0

Closed loop; include source rises and resistor drops with signs.

Kirchhoff junction

\sum I_{in} = \sum I_{out}

Charge conservation at a node.

Series resistors

R_{e q} = \sum R_{i}

Same current through each.

Parallel resistors

\frac{1}{R _{e q}} = \sum \frac{1}{R _{i}}

Same voltage across each.

Source with $r$

V_{terminal} = E - I r

Battery emf $E$ , internal resistance $r$ ; for a discharging battery (delivering current).

Assign current directions.
Write one junction equation.
Write independent loop equations.
Solve linear system for $I, V$ .
Check signs and units.

Ex.Single loop with battery $E$ and resistor $R$ .

$E - I R = 0 \Rightarrow I = E / R$ .

06Magnetism

Circular motion

r = \frac{m v}{∣ q ∣ B}

For $v ⊥ B$ ; magnetic force provides centripetal force.

Right-hand rule: For $v \times B$ or $L \times B$ : fingers $v$ / $L$ , curl to $B$ , thumb = force.

Magnetic dipole torque

τ = μ \times B, μ = N I A

$N$ turns, area vector $A$ .

Watch out:Magnetic force does no work on a point charge: changes direction, not speed, when only $B$ acts.

07Sources & Induction

Biot-Savart

d B = \frac{μ _{0}}{4 π} \frac{I d ℓ \times r ^}{r ^{2}}

Steady current element $d ℓ$ .

Ampère

\oint B \cdot d ℓ = μ_{0} I_{enc}

Use with symmetry for infinite wire, solenoid, toroid.

Common $B$ fields

Configuration	Result
Infinite wire	$B = μ_{0} I / (2 π r)$
Long solenoid	$B \approx μ_{0} n I$ inside
Toroid	$B = μ_{0} N I / (2 π r)$ inside

Flux

Φ_{B} = \int B \cdot d A

Magnetic flux through surface.

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Also on the full Physics II: Electricity & Magnetism sheet

9 more sections, with every definition, formula and worked example. Unlimited unlocks every full sheet in the library to edit, print or save as a PDF, and makes unlimited sheets from your own notes.

Gauss's Law

Gauss
Flux
Symmetry use
Standard Gaussian surfaces
Conductors

Potential

Potential energy
Potential

Capacitance

Stored energy
Energy density
Capacitors in circuit

Current & Resistance

Current
Current density
Ohm
Resistance
Power
Material trends

DC Circuits

RC Circuits

Time constant
Charging
Discharging
Voltage
Useful limits

Magnetism

Lorentz force
Magnetic force
Wire force

Sources & Induction

Faraday
Lenz's law

Inductance & AC-ish

Inductor emf
Inductor energy
RL time constant
RL growth
LC frequency
RLC damping
Energy swaps

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About the Physics II: Electricity & Magnetism sheet and making your own.

What does this Physics II: Electricity & Magnetism cheat sheet cover?: It has 10 sections: Electrostatics, Gauss's Law, Potential, Capacitance, Current & Resistance, DC Circuits, RC Circuits, Magnetism, Sources & Induction and Inductance & AC-ish. Together they cover the topics a typical Physics II: Electricity & Magnetism exam tests, including Coulomb's law and electric fields, Gauss's law, electric potential and energy and capacitance and dielectrics.
Is the electricity and magnetism formula sheet free?: The first part is free to read on this page, with no account needed. The full sheet opens in the app with Unlimited ($4.99 a month or $19 for a semester), where you can edit it, print it or save it as a PDF. It is one US Letter page and prints cleanly in black and white or colour.
Can I bring this Physics II: Electricity & Magnetism cheat sheet to my exam?: Only if your course allows a note sheet, so check the syllabus. This one is a single US Letter page. If your exam allows a different size, such as a 3x5 or 4x6 index card or one page front and back, Cheat Sheet AI makes one at exactly that size from your own lecture notes.
How accurate is it?: The sheet was written by our engine from a standard course outline, then a second model fact-checked every formula and statement against it; it corrected 2 statements before publishing. Notation and emphasis vary between courses, so check it against your own lecture notes.
Can I make a Physics II: Electricity & Magnetism sheet from my own notes?: Yes. Upload your lecture slides, notes or study guide and Cheat Sheet AI writes a sheet in your course's notation, sized to exactly the space your exam allows. Your first sheets are free.

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Electricity and Magnetism Formula Sheet — 1-page PDF

What’s on it

The free part, as text

01Electrostatics

02Potential

03Capacitance

04Current & Resistance

05DC Circuits

06Magnetism

07Sources & Induction

Also on the full Physics II: Electricity & Magnetism sheet

Gauss's Law

Potential

Capacitance

Current & Resistance

DC Circuits

RC Circuits

Magnetism

Sources & Induction

Inductance & AC-ish

Questions

More sheets

More Physics & Engineering

Other subjects

Your course, your notes, one page.