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Given L=i*e^(-t/RC) where i,R,C are contants and t is time. Find the rate of change with respect to t. Please explain in details how all happens, I will be obliged if you do so :)

Given L=i*e^(-t/RC)
where i,R,C are contants and t is time.
Find the rate of change with respect to t.
Please explain in details how all happens, I will be obliged if you do so :)

Grade:12

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
6 years ago
Dear Student,

Rate of change w.r.t to t of any quatity is the differenciation of that quantity w.r.t time. Here in the given equation, I think you might be asking about rate of change of inductance (L) w.r.t time i.e. dL/dt. For this you will have to differentiate L w.r.t time.
dL/dt = -{i*e^(-t/RC)}/RC.

Thanks.

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