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https://texercises.com/exercise/self-induced-emf-in-rl-circuit/
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Exercise:
An RL circuit with inductance LO and resistance RO is connected to a VO supply. At t the voltage supply is switched off. Calculate the self induced emf immediately after switching off and after tbO.

Solution:
The braking current is given by It I_ e^-t/tau fracV_R e^-tfracRL It follows for the self-induced emf mathcalEt -L dotIt -L fracV_R e^-tfracRL left-fracRLright fracV_ L RR L e^-tfracRL V_ e^-tfracRL At t the exponential term is equal to and the self-induced emf is just the voltage V_resultVO. After tbO the self-induced emf has dropped to mathcalEt VbF Vtimes e^-tbtimesfracRL Vb approx resultVbP
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Exercise:
An RL circuit with inductance LO and resistance RO is connected to a VO supply. At t the voltage supply is switched off. Calculate the self induced emf immediately after switching off and after tbO.

Solution:
The braking current is given by It I_ e^-t/tau fracV_R e^-tfracRL It follows for the self-induced emf mathcalEt -L dotIt -L fracV_R e^-tfracRL left-fracRLright fracV_ L RR L e^-tfracRL V_ e^-tfracRL At t the exponential term is equal to and the self-induced emf is just the voltage V_resultVO. After tbO the self-induced emf has dropped to mathcalEt VbF Vtimes e^-tbtimesfracRL Vb approx resultVbP
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Magnetism
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electromagnetic induction, inductance, lr circuit, self-induced emf
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(3, default)
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Language
ENG (English)
Type
Calculative / Quantity
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