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https://texercises.raemilab.ch/exercise/decaying-magnet-in-a-coil/
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Exercise:
A magnet is being pulled out of a coil with NO turns and RO resistance. The magnetic flux decreases exponentially according to Phit Phi_ texte^-kt with Phi_ PzO and k kO. What current flows through the coil at time tO?

Solution:
According to Faraday the induced voltage is Ut -NfracddPhiddt - N fracddddt Phi_ texte^-kt -NPhi_ -k texte^-kt kNPhi_ texte^-kt and the current becomes It fracUtR frackNPhi_R texte^-kt. At the time t_t the current then is SolQtyItkX*NX*PzX/RX*exp-kX*tXA It_ frackNPhi_R texte^-kt frack N PzR texte^-k t It approx ItS
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Exercise:
A magnet is being pulled out of a coil with NO turns and RO resistance. The magnetic flux decreases exponentially according to Phit Phi_ texte^-kt with Phi_ PzO and k kO. What current flows through the coil at time tO?

Solution:
According to Faraday the induced voltage is Ut -NfracddPhiddt - N fracddddt Phi_ texte^-kt -NPhi_ -k texte^-kt kNPhi_ texte^-kt and the current becomes It fracUtR frackNPhi_R texte^-kt. At the time t_t the current then is SolQtyItkX*NX*PzX/RX*exp-kX*tXA It_ frackNPhi_R texte^-kt frack N PzR texte^-k t It approx ItS
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Attributes & Decorations
Tags
elektromagnetismus, induktionsgesetz, physik
Content image
Difficulty
(4, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration