RC series circuit

Discussion in 'Homework Help' started by TechnicianEngineer, Dec 5, 2011.

  1. TechnicianEngineer

    Thread Starter New Member

    Nov 29, 2011
    4
    0
    A series circuit contains R = 150 Ω, and C = 10uf, and connected to a 110 volt source. If the source frequency is 120Hz , find the current flowing through R.

    The answer seems to says it was 0.55A

    SOLUTION:
    Xc = 1/(2pifC) = 132.63 Ω
    Z = √(150^2 + 132.63^2)
    Z = 200.23 Ω

    I = V/Z = 110/200.23 = 0.5494A

    θ = arctan(- 132.63/150)
    θ = -41.48

    Rec(0.5494 < -41.48)
    0.5494 = 0.4116 - 0.3638998j

    where Ir = 0.4116 ===> does not = to the answer key given
     
  2. crutschow

    Expert

    Mar 14, 2008
    12,973
    3,219
    You found the answer for the current flow in the circuit as 0.5494A. In a series circuit all the currents are the same. You do not need any further calculations to determine the current in R.
     
  3. Adjuster

    Well-Known Member

    Dec 26, 2010
    2,147
    300
    I think possibly the OP is expecting the in-phase (or real) component of the current to equal the resistor current. This would only be possible with a parallel circuit.
     
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