Inductive Reactance

Likes (0)

Fav (0)

Views (5.2K)

in 2022

Facebook

Twitter

If we expand $X_{L_{p}}$ as, which was derived in the topic (Parallel Resonant Circuit)

$$\begin{split} X_{L_{p}} &= { R^2_l + X^2_L \over X_L }\\ & = { R^2_l (X_L) \over X_L(X_L) } + X_L\\ &={ X_L \over Q^2_L } + X_L\\ \end{split}$$

then, for $Q_l \geq 10$, $X_L/Q_l^2 \approx 0$ compared to $X_L$ , and

$$X_{L_{p}} \approx X_L $$

and since resonance is defined by $X_{L_{p}} = X_C$, the resulting condition for resonance is reduced to:

$$ X_L \approx X_C \,\, \text{ (Ql>10)}$$

Do you have any questions?

250

Be the first to comment here!