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Formula Sheets / Physics

Chapter 23

Electromagnetic Induction

Revise with flashcards Download this chapter (PDF) All Physics formulas (PDF)

Faraday's and Lenz's laws Self and mutual inductance LR circuits and energy

Faraday's and Lenz's laws

$ε = - N \frac{d ϕ}{d t},$ $ϕ = B \cdot A$
Motional EMF
$ε = B l v;$ rotating rod: $\frac{1}{2} B ω l^{2}$
Rotating coil
$ε = N B A ω sin ω t$
Charge through a circuit
$q = \frac{Δ ϕ}{R}$

Self and mutual inductance

$ϕ = L I,$ $ε = - L \frac{d I}{d t};$ solenoid $L = μ_{0} n^{2} A l$
$ϕ_{2} = M I_{1},$ $ε_{2} = - M \frac{d I _{1}}{d t},$ $M \leq L_{1} L_{2}$
Combinations (no coupling)
series $L = L_{1} + L_{2};$ parallel $\frac{1}{L} = \frac{1}{L _{1}} + \frac{1}{L _{2}}$

LR circuits and energy

$I = I_{0} (1 - e^{- tR / L})$ (growth) $,$ $I = I_{0} e^{- tR / L}$ (decay) $,$ $τ = \frac{L}{R}$
Energy
$U = \frac{1}{2} L I^{2},$ $u = \frac{B ^{2}}{2 μ _{0}}$

Magnetic Properties of Matter Alternating Current