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Question

Question: In a LR circuit connected to a battery the rate at which energy is stored in the inductor is plotted...

In a LR circuit connected to a battery the rate at which energy is stored in the inductor is plotted against time during the growth of current in the circuit. Which of the following best represents the resulting curve?

A

B

C

D

Answer

Explanation

Solution

U = 12\frac{1}{2}LI2

Rate = dUdt\frac{dU}{dt} = LI (dIdt)\left( \frac{dI}{dt} \right)

At t = 0 , I = 0

\ Rate = 0

At t = , I = I0 but dIdt\frac{dI}{dt} = 0, therefore, rate = 0