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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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