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LC Resonance Calculator
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An electrical circuit is said to undergo resonance when the net current is in phase with the applied voltage. A circuit at resonance exhibits certain characteristics such as maximum current or minimum current. The resonance frequency fo is given by
fo =$\frac{1}{2 \pi \sqrt{LC}}$
Where L and C are inductance and capacitance value.
LC resonance Calculator is a online tool to calculate the resonance frequency fo. You just have to enter the inductance L and capacitance C value and get the answer instantly.
 

Steps for L-C Resonance Calculator

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Step 1 :  

Read the given problem and observe the given quanities.



Step 2 :  

The resonant frequency is given by


fo = $\frac{1}{2 \pi \sqrt{LC}}$


Here L is inductance and C is capacitance value. Substitute the given values and get the unknown quantity.



Problems on L-C Resonance Calculator

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  1. A coil having an inductance of 50 mH and resistance of 100 ohms is connected in series with a capacitor and a 100 V, 1 KHz source. Obtain the value of capacitance that will cause a resonance on the circuit.


    Step 1 :  

    Given: Inductance L = 50 mH, Capacitance C = 100 $\Omega$



    Step 2 :  

    The resonance frequency is
    fo = $\frac{1}{2 \pi \sqrt{LC}}$
    1000 = $\frac{1}{2 \times 3.142 \times \sqrt{50 \times 10^-3 \times C}}$

    Capacitance C = 0.5 $\mu$ F



    Answer  :  

    The Capacitance is C = 0.5 $\mu$ F



  2. A circuit has L = 50 mH and C = 70 $\mu$ F. Calculate its resonant frequency.


    Step 1 :  

    Given: Inductance L = 50 mH, Capacitance C  = 70 $\mu$ F



    Step 2 :  

    The resonance frequency is
    fo = $\frac{1}{2 \pi \sqrt{50 \times 10^{-3} \times 70 \times 10 ^{-6}}}$
       = 85.07 Hz.



    Answer  :  

    The resonant frequency is fo = 85.07 Hz.



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