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Electricity and Magnetism Formula Cheat Sheet, Cheat Sheet of Electromagnetism and Electromagnetic Fields Theory

Good cheat sheet with Electricity and Magnetism Formulas

Typology: Cheat Sheet

2019/2020

Uploaded on 10/23/2020

ekayavan
ekayavan 🇺🇸

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Formula Sheet:
Electricity and Magnetism
Coulomb’s law

Electric Field
󰇍
Field of a point charge

Electric field inside a capacitor

Principle of superposition
󰇍
 
󰇍

Electric flux
Φ
󰇍
∙
Gauss’s law
Φ
󰇍
∙

Electric potential

ΔV 

󰇍
∙
For a point charge 󰇛󰇜

For a paralle-plate capacitor

Potential Energy

Two point charges

Capacitors

Δ
Parallel-plate 
Capacitors connected in parallel
 

⋯
Capacitors connected in series
1
 1
1
⋯
Energy stored in a capacitor 

Ohm’s law 



 

Δ
0
Power 
Resistors connected in series
 
⋯
Resistors connected in parallel
1
 1
1
1
⋯
pf3

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Formula Sheet:

Electricity and Magnetism

Coulomb’s law

Electric Field

Field of a point charge

Electric field inside a capacitor

Principle of superposition

ܧሬԦ௡௘௧ ൌ ෍ ܧሬԦ௜

௜ୀଵ Electric flux

Φ (^) ா ൌ න ܧሬԦ ∙ܣ ݀ Ԧ

Gauss’s law

Φ ൌ ර ܧሬԦ ∙ ܣ ݀Ԧ ൌܳ (^) ߝ௜௡ ଴ Electric potential

ܸ ܷൌ (^) ݍ

ΔV ൌܸ ௙ ܸെ ௜ ൌ െ න ܧሬԦ ∙ݏ ݀ Ԧ

௜ For a point charge ܸ ሺݎሻ ൌ (^) ସగఌଵబொ௥

For a paralle-plate capacitor ܸ ݏܧ ൌ

Potential Energy ܷ ܸݍ ൌ Two point charges

Capacitors ܳൌ ܥ ܸΔ Parallel-plate ߝ ൌ ܥ଴஺ௗ Capacitors connected in parallel ܥ௘௤ ܥ ൌଵ ܥ ൅ଶ ൅ ⋯ Capacitors connected in series 1 ܥ௘௤ൌ

Energy stored in a capacitor ܷൌ ொ^

మ ଶ஼ Ohm’s law ܸ ܴܫ ൌ ݀ܳ݀ൌ ܫݐ

ܴ ݈ߩ ൌ ܣ ܫ ෍௜௡ ൌ ෍ ܫ௢௨௧

ܸΔ ෍ (^) ௜ ൌ 0 Power ܲ ܸܫ ൌ Resistors connected in series ܴ ௘௤ ܴൌ (^) ଵ ܴ൅ (^) ଶ ܴ൅ (^) ଷ ൅ ⋯ Resistors connected in parallel ܴ ௘௤

The potential difference across a charging capacitor in RC circuit

ܸ ሺݐሻ ൌ ߝሺ1 െ݁ି ௧^ ൗோ஼^ ሻ A magnetic field exerts a force ݀ ܨሬሬሬሬሬԦ ൌ ݈݀ܫሬሬሬԦ ൈ ܤሬԦ ܨԦ ൌ ݈ܫԦ ൈ ܤሬԦ ܨݒݍ ൌ ԦԦ ൈ ܤሬԦ The Biot-Savart Law

ܤሬԦ ൌ

The magnetic field of: A straight line wire

ൌ ܤ

A solenoid ߤ ൌ ܤ (^) ݊଴ ܫ Magnetic flux

Φ (^) ஻ ൌ න ܤሬԦ ∙ܣ ݀ Ԧ

Inductance

ൌ ܮ

μܰ଴ ଶ^ ݈ܣ

Energy stored in an inductor

ܷܮ ൌ ூ^

మ ଶ “Discharged” LR circuit

ܫ ൌ ܫି݁଴ ௧ ൗఛ^ ߬ ; ܴ/ܮ ൌ

Maxwell’s equations

଴ ܤ රሬԦ ∙݀ ܣሬሬሬሬሬԦ ൌ 0

Ɛ ൌ ර ܧሬԦ ∙݀ ݏሬሬሬሬԦ ൌ െ݀

The Poynting vector

ܵ Ԧ ൌ

Malus’s Law ݏ݋ܿܫ ൌ ܫ ଶ^ ߠ Traveling Wave ߮൅ ݐ ߱െ ݔ݇ሺ݊݅ݏܣ ൌ ሻݐ ,ݔሺݕ (^) ଴ ሻ

݇ ൌ

Interference

Δ ߮ൌ 2ߨ

ߣ߮Δ ൅^ ଴^ ሻݎݐݏ݊݋ܿሺ ߨ2 ݉ൌ

ߣ߮Δ ൅^ ଴

ܣൌ ฬ2acosሺ

Standing Waves