LC Resonant Frequency Calculator, Formula, Calculation with Example

LC Resonant Frequency Calculator :

Enter the inductance and capacitance and in no time at all you’ll find the resonant and angular frequency and you get the calculator check it.

Resonant Frequency Calculator

LC Resonant Frequency Calculator formula :

The reactance or the inductor and capacitor are given by,

Inductor reactance XL is equal to the product of the resonant frequency 2πf(Hz)  in hertz is multiply by  inductance L(H) in henrie .Hence the reactance or the inductor and capacitor has been written as,

XL = 2πf(Hz) L(H)

capacitor reactance Xc is equal to the product of the resonant frequency 1/2πf(Hz)  in hertz is multiply by capacitance C(f) in Farads.Hence the reactances or the inductor and capacitor has been written as,

XC = 1 / (2πf(Hz) C(F))

Where,

XL→ inductor reactance

XC → capacitor reactance

L → inductance in H(henries)

C → capacitance in F(farads)

F → resonant frequency in Hz(hertz).

Setting XL = XC and solving for the resonant frequency results in the following equation:

Resonant frequency F(Hz) in Hertz is equal to the product of the inductance of circuit L(H) in henries is multibly by capacitance of circuit C(F) in farads. Hence the reactances or the inductor and capacitor has been written as,

F(Hz) = 1/2π√( L(H) C(F) )

where,

f → resonant frequency (Hz)

L → inductance of circuit(H)

C→ capacitance of circuit(F).

Alternatively, if we have a target resonant frequency and know either the inductance or capacitance, we can solve for the other required component value:

L = (1/c) . (1/(2πf))2

And

C =(1/L) . (1/(2πf))2

Solved  Problems:

Problem 1.

Calculate the resonant frequency for a circuit of inductance 5 H and capacitance 3 F?

Solution:

We have,

L = 5

C = 3

Using the formula we have,

F = 1/2π√(LC)

= 1/ (2 × 3.14 × √(5 × 3))

= 1/24.32

= 0.041 Hz.

Problem 2.

Calculate the resonant frequency for a circuit of inductance 3 H and capacitance 1 F?

Solution:

We have,

L = 3

C = 1

Using the formula we have,

f = 1/2π√(LC)

= 1/ (2 × 3.14 × √(3 × 1))

= 1/10.86

= 0.092 Hz.

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