OpenStax University Physics/E&M/Electromagnetic Induction

${\mathcal {E}}\&{\mathcal {M}}$ (Vol. 2): 5:Electric Charges and Fields 6:Gauss's Law 7:Electric Potential 8:Capacitance 9:Current and Resistance 10:Direct-Current Circuits 11:Magnetic Forces and Fields 12:Sources of Magnetic Fields 14:Inductance 15:Alternating-Current Circuits 16:Electromagnetic Waves

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Chapter 13

Electromagnetic Induction

Magnetic flux $\Phi _{m}=\int _{S}{\vec {B}}\cdot {\hat {n}}dA$ ▭ Electromotive force $\varepsilon =-N{\tfrac {d\Phi _{m}}{dt,}}$ (Faraday's law)
▭ Motional emf $\varepsilon =B\ell v,$ ▭ rotating coil $NBA\omega \sin \omega t$
▭ Motional emf around circuit $\varepsilon =\oint {\vec {E}}\cdot d{\vec {\ell }}=-{\tfrac {d\Phi _{m}}{dt}}$

For quiz at QB/d_cp2.13

Magnetic flux $\Phi _{m}=\int _{S}{\vec {B}}\cdot {\hat {n}}dA$
Motional $\varepsilon =B\ell v$ if ${\vec {v}}\perp {\vec {B}}$
Electromotive "force" (volts) $\varepsilon =-N{\tfrac {d\Phi _{m}}{dt}}=\oint {\vec {E}}\cdot d{\vec {\ell }}$
rotating coil $\varepsilon =NBA\omega \sin \omega t$