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Proof of natural frequency in RCL circuit

  1. Jan 16, 2013 #1
    I am just wondering what is the proof of the equation
    2*pi*f = 1/√(LC)
     
  2. jcsd
  3. Jan 16, 2013 #2

    Simon Bridge

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    Welcome to PF;
    The relation is derived from the differential equation describing the flow of charge in an ideal RCL circuit.
     
  4. Jan 17, 2013 #3
    So what is the differential equation describing the flow of charge in an ideal RCL circuit?
     
  5. Jan 17, 2013 #4

    sophiecentaur

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  6. Jan 18, 2013 #5

    Simon Bridge

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    I was going to suggest this one - but that works too. :)
     
  7. Jan 19, 2013 #6
    The resonant frequency is when XL = Xc
    That is when 2∏fL = 1/2∏fC
    When this condition is satisfied V is in phase with I.
     
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