Capacitance in RLC circuit

Discussion in 'Homework Help' started by Biggsy100, May 23, 2015.

  1. Biggsy100

    Thread Starter Member

    Apr 7, 2014
    88
    1
    I am having trouble working out how to equate capacitance in an RLC series circuit. I have a small paper with both series and parallel RLC circuit question (attached) I believe my equations are correct up until the last capacitance question then I am stuck. I'd greatly appreciate confirmation I am on the right track and guidance in working out capacitance.

    Task 1 Parallel RLC Circuit:

    A coil of resistance 20Ω and inductance 200mH is connected in Parallel with a 4µF capacitor across a 50V, Variable frequency supply, Calculate

    1. The resonant Frequency


      upload_2015-5-23_17-15-31.png = upload_2015-5-23_17-15-31.png


    2. Dynamic Resistance


      upload_2015-5-23_17-15-31.png = upload_2015-5-23_17-15-31.png
    (c )The current at resonance

    upload_2015-5-23_17-15-31.png = 2.5A

    (d ) & The Q-Factor of the circuit at resonance

    upload_2015-5-23_17-15-31.png = upload_2015-5-23_17-15-31.png


    Task 2 Series RLC circuit:

    The current at resonance in a series LCR circuit is 135µA. If the applied voltage is 3.5Mv at a frequency of 200kHz, and the circuit inductance is 47µF, Calculate:

    (a ) The circuit resistance:

    upload_2015-5-23_17-15-31.png = upload_2015-5-23_17-15-31.png 20.357

    (b ) The circuit capacitance:

    upload_2015-5-23_17-15-31.png = upload_2015-5-23_17-15-31.png = ???











     
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