Question

What is the natural frequency of L C circuit? What is the reactance of this
circuit at this frequency​

Answer 1

$\large \fbox \red {A} \fbox \green {n} \fbox \blue {S} \fbox \orange {w} \fbox \pink {E} \fbox \purple {r}$

The natural frequency of LC circuit is `1/(2pisqrt"LC")`, where L is the inductance and C is the capacitance. The reactance of this circuit at this frequency is

`1/(2pi"fC" - 1/(2pi"fL")) = 1/((2pi"C")/(2pisqrt("LC")) - 1/((2pi"L")/(2pisqrt"LC")))`

`= 1/(sqrt("C"/"L") - sqrt("C"/"L")) = 1/"zero" = ∞`