1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Deriving v(t) from i(t)

  1. Nov 16, 2011 #1
    1. The problem statement, all variables and given/known data

    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

    2. Relevant 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


    3. 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.
     
  2. jcsd
  3. Nov 17, 2011 #2

    wukunlin

    User Avatar
    Gold Member

    what you need to do is make sure you are in the s-domain, so V(s) = I(s)Z(s), you need to perform laplace transform to the current output to obtain I(s), then you can multiply that with the frequency dependent impedance, then finally get your answer from the inverse laplace of the product
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Deriving v(t) from i(t)
  1. V (t ) = 5sin (t ) [V] (Replies: 3)

  2. Find V(s) and V(t) (Replies: 7)

  3. AC Nodal Voltage V(t) (Replies: 2)

Loading...