# Deriving v(t) from i(t)

## Homework Statement

I've been given a series circuit with a .5H inductor .01F cap, .5H inductor and 10Ω resistor in series.

This circuit is connected to a source i(t) = 10cos(10t) and I need to find v(t) across Z

## Homework Equations

From the givens I've found the Z(s) to be s+100/s+10 and Z(jω) to be j((ω^2-100)/ω)+10

## The Attempt at a Solution

I believe I need to use Ohm's law V=IR to find V. So if I multiply j((ω^2-100)/ω)+10 by 10cos(10t) I should get a v(t) but I think I'm doing something wrong with this.