[Electronics] Frequency where capacitor and inductor have same reactance?

Discussion in 'Homework Help' started by djhughman, Mar 20, 2014.

  1. djhughman

    Thread Starter New Member

    Feb 25, 2014
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    0
    How to calculate frequency in AC series circuit to get capacitor (1μF) and inductor (o.1 mH) to have same reactance?

    I know formulas for Xc and Xl but can not put it together.
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    Write the following equation:

    jωL = 1 / jωC

    Now solve for ω = 2πf and what do you get?
     
  3. djhughman

    Thread Starter New Member

    Feb 25, 2014
    3
    0
    I have no idea how to solve for ω from jωL = 1 / jωC. Can I get a hint?
     
  4. djhughman

    Thread Starter New Member

    Feb 25, 2014
    3
    0
    No idea how to solve for ω from jωL = 1 / jωC. Maybe (jω)^2= 1/C/L? Can I get a hint?
    Also what is j? formulas I got do not have that.
     
  5. LvW

    Active Member

    Jun 13, 2013
    674
    100
    Perhaps it is "better" to equalize the magnitude only (wL=1/wC).
    Otherwise, math makes problems.
     
  6. alfacliff

    Well-Known Member

    Dec 13, 2013
    2,449
    428
    how about the resonance formula? one over 2pi times the square root of lc? that should be where the reactances are equal.
     
    Last edited: Mar 23, 2014
  7. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    The point was to derive that formula be setting the reactances equal and solving for ω.
     
  8. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    The point was to derive that formula be setting the reactances equal and solving for ω. You get the same formula for series resonance and parallel resonance.
     
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