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Good cheat sheet with Electricity and Magnetism Formulas
Typology: Cheat Sheet
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Coulomb’s law
Electric Field
Field of a point charge
Electric field inside a capacitor
Principle of superposition
ܧሬԦ௧ ൌ ܧሬԦ
ே
ୀଵ Electric flux
Φ (^) ா ൌ න ܧሬԦ ∙ܣ ݀ Ԧ
Gauss’s law
Φ ൌ ර ܧሬԦ ∙ ܣ ݀Ԧ ൌܳ (^) ߝ Electric potential
ܸ ܷൌ (^) ݍ
For a point charge ܸ ሺݎሻ ൌ (^) ସగఌଵబொ
For a paralle-plate capacitor ܸ ݏܧ ൌ
Potential Energy ܷ ܸݍ ൌ Two point charges
Capacitors ܳൌ ܥ ܸΔ Parallel-plate ߝ ൌ ܥௗ Capacitors connected in parallel ܥ ܥ ൌଵ ܥ ଶ ⋯ Capacitors connected in series 1 ܥൌ
Energy stored in a capacitor ܷൌ ொ^
మ ଶ Ohm’s law ܸ ܴܫ ൌ ݀ܳ݀ൌ ܫݐ
ܴ ݈ߩ ൌ ܣ ܫ ൌ ܫ௨௧
ܸΔ (^) ൌ 0 Power ܲ ܸܫ ൌ Resistors connected in series ܴ ܴൌ (^) ଵ ܴ (^) ଶ ܴ (^) ଷ ⋯ Resistors connected in parallel ܴ
ଵ
ଶ
ଷ
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 ݏܿܫ ൌ ܫ ଶ^ ߠ Traveling Wave ߮ ݐ ߱െ ݔ݇ሺ݊݅ݏܣ ൌ ሻݐ ,ݔሺݕ (^) ሻ
݇ ൌ
Interference
Δ ߮ൌ 2ߨ
ܣൌ ฬ2acosሺ
Standing Waves