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https://texercises.com/exercise/current-as-derivative/
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Exercise:
The charge flowing through a given po in an electric circuit is given by the function Qt. Find a formal expression for the corresponding current It for abcliste abc QtQ_fractt_ textrmquad for tin t_ abc QtQ_leftfractt_right^ textrmquad for tin t_ abc Qt Q_left-e^-t/tauright abcliste

Solution:
abcliste abc ItdotQtfracQ_t_ i.e. the current is constant. abc It dotQtfracQ_t_^ t i.e. the current linearly increases from to Q_/t_. abc It dotQt Q_ left-e^-t/taufrac-tauright fracQ_tau e^-t/tau i.e. the current decreases exponentially. abcliste
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Exercise:
The charge flowing through a given po in an electric circuit is given by the function Qt. Find a formal expression for the corresponding current It for abcliste abc QtQ_fractt_ textrmquad for tin t_ abc QtQ_leftfractt_right^ textrmquad for tin t_ abc Qt Q_left-e^-t/tauright abcliste

Solution:
abcliste abc ItdotQtfracQ_t_ i.e. the current is constant. abc It dotQtfracQ_t_^ t i.e. the current linearly increases from to Q_/t_. abc It dotQt Q_ left-e^-t/taufrac-tauright fracQ_tau e^-t/tau i.e. the current decreases exponentially. abcliste
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Circuits
Tags
current, derivative
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Difficulty
(2, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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