- #1

Erik P

- 33

- 0

## Homework Statement

L is a perfect inductor with inductance L. The switch is turned on at t=0 and the currents i1 and i2 run trhough the circuit as indicated by the figure.

## Homework Equations

Given this circuit I need to find i

_{1}and i

_{2}for t=0 and t => infinity.

## The Attempt at a Solution

For i1 i figure it is simply an LR circuit so we can use the following:

\begin{equation}

I(t) = \frac{V}{R}(1 - e^{-\frac{Rt}{L}})

\end{equation}

Which becomes:

\begin{equation}

i_{1}(t) = \frac{\mathcal{E}}{R_0 + R_1}(1 - e^{-\frac{(R_0 + R_1)t}{L}})

\end{equation}

for t=0 i

_{1}= 0 and for t => infinity i1 => E/(R

_{0}+ R

_{1})

i

_{2}is constant and is:

\begin{equation}

i_{2} = \frac{\mathcal{E}}{R_0 + R_2}

\end{equation}

Is this correct?

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