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Homework Help: Phasor Diagram

  1. Feb 19, 2007 #1
    1. The problem statement, all variables and given/known data

    Three series elements have a.c. voltages across them of [tex]25cos(2 \pi 60t + 30') , 15cos(2 \pi 60t + 60') , 30cos(2 \pi 60t -45') [/tex] Volts respectively. The current flowing is [tex]5.2cos(2 \pi 60t + 25')A[/tex]

    Using phasor diagram find

    a)total voltage
    b)phase angle between total voltage and current
    c)overall power factor
    d)total power and power dissipated by each element


    3. The attempt at a solution

    I found part a to be [tex]50.5cos(2 \pi 60t + 4.9')[/tex]

    and part be, the angle is 20.1 degrees with the current lagging behind.

    I found the PF to be 0.94, what about d)power diss....i found the total power to be 123W
     
    Last edited: Feb 19, 2007
  2. jcsd
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