1. Not finding help here? Sign up for a free 30min 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!

Addition of AC current and compound angle theory

  1. Jan 8, 2010 #1
    1. The problem statement, all variables and given/known data

    two alternating currents I1 and I2 flow into a circuit node,the output current I is given by adding I1 and I 2.

    find I and t, when I1 and I2 are as follows

    2. Relevant equations

    I1=5sin(50t +Pi/3)

    I2=6cos50t

    3. The attempt at a solution
    i1=sin(a+b)=sina.sinb+cosa.cosb
    i1=sin50t x cos 60 + sin60 x cos60t x by 1/2 gives
    i1=2.5sin50t + 4.33 x cos50t







    Hi guys help required on above question please not sure where this progresses

    thanks
     
  2. jcsd
  3. Jan 8, 2010 #2

    rock.freak667

    User Avatar
    Homework Helper

    So you have [itex]I_1=\frac{1}{2}sin50t+\frac{\sqrt{3}}{2}cos50t[/itex] and [itex]I_2=6cos50t[/itex]

    So just add them now, and group the like terms.

    You will have something like Asin50t+Bcos50t to put in the form Rsin(50t+α)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Addition of AC current and compound angle theory
  1. Current addition (Replies: 5)

  2. AC Theory (Replies: 1)

  3. AC Current (Replies: 2)

  4. AC Current (Replies: 6)

Loading...