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RLC Circuits

  1. Jul 23, 2017 #1
    1. The problem statement, all variables and given/known data
    An RLC circuit contains the following components in series: a 15Ω resistor, a 200μF capacitor, and a 12mH inductor. What are the currents and voltages through each component?

    It's known that the current through the resistor is 1.75A⋅cos(250πt)

    2. Relevant equations
    χL=ω*L
    χC=1/(ωC)
    Z=√(R2+(χLC)2)
    φ=tan-1((χLC)/R)
    Vi=Ii*Z
    3. The attempt at a solution
    This what I got when solving:

    The current through each component is the same. I=1.75A⋅cos(250πt)

    The voltage across the power source is V=26.79V⋅cos(250πt+0.201)

    The voltage across the resistor is V=26.25V⋅cos(250πt)

    The voltage across the capacitor is V=11.14⋅cos(250πt-(π/2))

    The voltage across the inductor is V=16.49⋅cos(250πt+(π/2))
     
  2. jcsd
  3. Jul 23, 2017 #2

    scottdave

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    Gold Member

    I got the same thing.
     
    Last edited: Jul 23, 2017
  4. Jul 23, 2017 #3
    Victory!!! Thanks!
     
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