### 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.

### LC Resonant Frequency Calculator formula :

The reactance or the inductor and capacitor are given by,

Inductor reactance X_{L} 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,

X_{L} = 2πf_{(Hz)} L_{(H)}

capacitor reactance X_{c} 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,

X_{C} = 1 / (2πf_{(Hz)} C_{(F)})

Where,

X_{L→} inductor reactance

X_{C }→ capacitor reactance

L → inductance in H(henries)

C → capacitance in F(farads)

F → resonant frequency in Hz(hertz).

Setting X_{L }= X_{C} 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.