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## Homework Statement

An alternating current is running through a serially connected inductor(L) and resistor(R). The alternating voltage causing it is:

[URL]http://upload.wikimedia.org/math/5/a/0/5a0ecaa1432c6cdce653a943b4962a21.png[/URL]

How does the voltage on the inductor change over time?

## Homework Equations

Kirchhoff's cricuit laws [tex]v_{g}=v_{L}+v_{R}[/tex]

## The Attempt at a Solution

If I understand the text right, overall I should be searching for the [tex]v_{L}(t)[/tex] function right?

Ok so I know that

[tex]v_{L}=L \frac{dI}{dt}[/tex]

[tex]v_{R}=IR[/tex]

therefore

[tex]\frac{dI}{dt}+\frac{R}{L}I=\frac{1}{L}\frac{dv_{g}(t)}{dt}[/tex]

and this is where I get stuck. Thanks for any help!

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