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The Rate of Change of Current I (in MA)depends on Time as the Following: (dI)/(dt)=-(4)/(t)(t in S). Find the Current as a Function of

Вопрос

The rate of change of current I (in mA)depends on time as the following: (dI)/(dt)=-(4)/(t)(t in s). Find the current as a function of time, if at the moment t=0.1 s the value of current I=12

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Ответ

To find the current as a function of time, we need to integrate the given rate of change of current with respect to time.Given: Integrating both sides with respect to time: Now, we can use the initial condition to find the value of the constant .At s, mA: Therefore, the current as a function of time is: Simplifying the expression: So, the current as a function of time is: