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
Решения
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элита · Репетитор 8 лет
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: