- #1

freezer

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## Homework Statement

For the circuit shown below, the current through the inductor is defined as follows:

[tex]

i(t)=\begin{cases}

0 & \text{if } -\infty <t<0 \\

1-e^{-2t}& \text{if } 0\leq t < \infty

\end{cases}

[/tex]

L = 1H, R2 = 2 ohms

For t=> 0 find:

a) VL(t)

b) Vr(t)

c) V1(t)

d) Power absorbed by the inductor

## Homework Equations

[tex]

i(t)=\frac{v}{R}(1-e^{-Rt/L})

[/tex]

## The Attempt at a Solution

As t goes to infinity, current goes to 1A and the inductor becomes a wire. So V1 = 2V

But i don't think this is what it is asking for.

From the relevant equation section, solving for V would leave only 2

W = 0.5Li^2

W = 0.5(1)(1-e^{-2t})^2

Vr = (1-exp(-2t))/2

Vl = 0V