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RL circuit with AC generator

  1. Mar 14, 2010 #1
    1. The problem statement, all variables and given/known data

    A resistance R and a 1.4 H inductance are in series across a 60 Hz AC voltage. The voltage across the resistor is 30V and the voltage across the inductor is 40V.
    (a). What is the resistance R ?
    (b). What is the AC input voltage ?

    2. Relevant equations

    [tex]\xi[/tex]=I*Z

    3. The attempt at a solution

    (a).So far I have I=[tex]\xi[/tex]/ [tex]\sqrt{}R^2+X^2[/tex]

    How do I proceed from here ? Do I use I= [tex]\xi[/tex]/ [tex]\omega[/tex]L to find the current then substitute back to the first equation to solve for R ?

    (b). I calculated V=[tex]\sqrt{}40^2+30^2[/tex]=50 V. Is this correct ?
     
  2. jcsd
  3. Mar 14, 2010 #2
    I mean X(L)^2 not XL^2
     
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